Link |
Elementary Numerical Analysis |
Lecture 1 - Introduction |
Link |
Elementary Numerical Analysis |
Lecture 2 - Polynomial Approximation |
Link |
Elementary Numerical Analysis |
Lecture 3 - Interpolating Polynomials |
Link |
Elementary Numerical Analysis |
Lecture 4 - Properties of Divided Difference |
Link |
Elementary Numerical Analysis |
Lecture 5 - Error in the Interpolating polynomial |
Link |
Elementary Numerical Analysis |
Lecture 6 - Cubic Hermite Interpolation |
Link |
Elementary Numerical Analysis |
Lecture 7 - Piecewise Polynomial Approximation |
Link |
Elementary Numerical Analysis |
Lecture 8 - Cubic Spline Interpolation |
Link |
Elementary Numerical Analysis |
Lecture 9 - Tutorial 1 |
Link |
Elementary Numerical Analysis |
Lecture 10 - Numerical Integration: Basic Rules |
Link |
Elementary Numerical Analysis |
Lecture 11 - Composite Numerical Integration |
Link |
Elementary Numerical Analysis |
Lecture 12 - Gauss 2-point Rule: Construction |
Link |
Elementary Numerical Analysis |
Lecture 13 - Gauss 2-point Rule: Error |
Link |
Elementary Numerical Analysis |
Lecture 14 - Convergence of Gaussian Integration |
Link |
Elementary Numerical Analysis |
Lecture 15 - Tutorial 2 |
Link |
Elementary Numerical Analysis |
Lecture 16 - Numerical Differentiation |
Link |
Elementary Numerical Analysis |
Lecture 17 - Gauss Elimination |
Link |
Elementary Numerical Analysis |
Lecture 18 - L U decomposition |
Link |
Elementary Numerical Analysis |
Lecture 19 - Cholesky decomposition |
Link |
Elementary Numerical Analysis |
Lecture 20 - Gauss Elimination with partial pivoting |
Link |
Elementary Numerical Analysis |
Lecture 21 - Vector and Matrix Norms |
Link |
Elementary Numerical Analysis |
Lecture 22 - Perturbed Linear Systems |
Link |
Elementary Numerical Analysis |
Lecture 23 - Ill-conditioned Linear System |
Link |
Elementary Numerical Analysis |
Lecture 24 - Tutorial 3 |
Link |
Elementary Numerical Analysis |
Lecture 25 - Effect of Small Pivots |
Link |
Elementary Numerical Analysis |
Lecture 26 - Solution of Non-linear Equations |
Link |
Elementary Numerical Analysis |
Lecture 27 - Quadratic Convergence of Newton's Method |
Link |
Elementary Numerical Analysis |
Lecture 28 - Jacobi Method |
Link |
Elementary Numerical Analysis |
Lecture 29 - Gauss-Seidel Method |
Link |
Elementary Numerical Analysis |
Lecture 30 - Tutorial 4 |
Link |
Elementary Numerical Analysis |
Lecture 31 - Initial Value Problem |
Link |
Elementary Numerical Analysis |
Lecture 32 - Multi-step Methods |
Link |
Elementary Numerical Analysis |
Lecture 33 - Predictor-Corrector Formulae |
Link |
Elementary Numerical Analysis |
Lecture 34 - Boundary Value Problems |
Link |
Elementary Numerical Analysis |
Lecture 35 - Eigenvalues and Eigenvectors |
Link |
Elementary Numerical Analysis |
Lecture 36 - Spectral Theorem |
Link |
Elementary Numerical Analysis |
Lecture 37 - Power Method |
Link |
Elementary Numerical Analysis |
Lecture 38 - Inverse Power Method |
Link |
Elementary Numerical Analysis |
Lecture 39 - Q R Decomposition |
Link |
Elementary Numerical Analysis |
Lecture 40 - Q R Method |
Link |
Measure and Integration |
Lecture 1 - Introduction, Extended Real numbers |
Link |
Measure and Integration |
Lecture 2 - Algebra and Sigma Algebra of a subset of a set |
Link |
Measure and Integration |
Lecture 3 - Sigma Algebra generated by a class |
Link |
Measure and Integration |
Lecture 4 - Monotone Class |
Link |
Measure and Integration |
Lecture 5 - Set function |
Link |
Measure and Integration |
Lecture 6 - The Length function and its properties |
Link |
Measure and Integration |
Lecture 7 - Countably additive set functions on intervals |
Link |
Measure and Integration |
Lecture 8 - Uniqueness Problem for Measure |
Link |
Measure and Integration |
Lecture 9 - Extension of measure |
Link |
Measure and Integration |
Lecture 10 - Outer measure and its properties |
Link |
Measure and Integration |
Lecture 11 - Measurable sets |
Link |
Measure and Integration |
Lecture 12 - Lebesgue measure and its properties |
Link |
Measure and Integration |
Lecture 13 - Characterization of Lebesque measurable sets |
Link |
Measure and Integration |
Lecture 14 - Measurable functions |
Link |
Measure and Integration |
Lecture 15 - Properties of measurable functions |
Link |
Measure and Integration |
Lecture 16 - Measurable functions on measure spaces |
Link |
Measure and Integration |
Lecture 17 - Integral of non negative simple measurable functions |
Link |
Measure and Integration |
Lecture 18 - Properties of non negative simple measurable functions |
Link |
Measure and Integration |
Lecture 19 - Monotone convergence theorem & Fatou's Lemma |
Link |
Measure and Integration |
Lecture 20 - Properties of Integral functions & Dominated Convergence Theorem |
Link |
Measure and Integration |
Lecture 21 - Dominated Convergence Theorem and applications |
Link |
Measure and Integration |
Lecture 22 - Lebesgue Integral and its properties |
Link |
Measure and Integration |
Lecture 23 - Denseness of continuous function |
Link |
Measure and Integration |
Lecture 24 - Product measures, an Introduction |
Link |
Measure and Integration |
Lecture 25 - Construction of Product Measure |
Link |
Measure and Integration |
Lecture 26 - Computation of Product Measure - I |
Link |
Measure and Integration |
Lecture 27 - Computation of Product Measure - II |
Link |
Measure and Integration |
Lecture 28 - Integration on Product spaces |
Link |
Measure and Integration |
Lecture 29 - Fubini's Theorems |
Link |
Measure and Integration |
Lecture 30 - Lebesgue Measure and integral on R2 |
Link |
Measure and Integration |
Lecture 31 - Properties of Lebesgue Measure and integral on Rn |
Link |
Measure and Integration |
Lecture 32 - Lebesgue integral on R2 |
Link |
Measure and Integration |
Lecture 33 - Integrating complex-valued functions |
Link |
Measure and Integration |
Lecture 34 - Lp - spaces |
Link |
Measure and Integration |
Lecture 35 - L2(X,S,mue) |
Link |
Measure and Integration |
Lecture 36 - Fundamental Theorem of calculas for Lebesgue Integral - I |
Link |
Measure and Integration |
Lecture 37 - Fundamental Theorem of calculus for Lebesgue Integral - II |
Link |
Measure and Integration |
Lecture 38 - Absolutely continuous measures |
Link |
Measure and Integration |
Lecture 39 - Modes of convergence |
Link |
Measure and Integration |
Lecture 40 - Convergence in Measure |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 1 - Indian Mathematics: An Overview |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 2 - Vedas and Sulbasutras - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 3 - Vedas and Sulbasutras - Part 2 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 4 - Panini's Astadhyayi |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 5 - Pingala's Chandahsastra |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 6 - Decimal place value system |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 7 - Aryabhatiya of Aryabhata - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 8 - Aryabhatiya of Aryabhata - Part 2 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 9 - Aryabhatiya of Aryabhata - Part 3 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 10 - Aryabhatiya of Aryabhata - Part 4 and Introduction to Jaina Mathematics |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 11 - Brahmasphutasiddhanta of Brahmagupta - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 12 - Brahmasphutasiddhanta of Brahmagupta - Part 2 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 13 - Brahmasphutasiddhanta of Brahmagupta - Part 3 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 14 - Brahmasphutasiddhanta of Brahmagupta - Part 4 and The Bakhshali Manuscript |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 15 - Mahaviras Ganitasarasangraha - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 16 - Mahaviras Ganitasarasangraha - Part 2 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 17 - Mahaviras Ganitasarasangraha - Part 3 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 18 - Development of Combinatorics - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 19 - Development of Combinatorics - Part 2 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 20 - Lilavati of Bhaskaracarya - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 21 - Lilavati of Bhaskaracarya - Part 2 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 22 - Lilavati of Bhaskaracarya - Part 3 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 23 - Bijaganita of Bhaskaracarya - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 24 - Bijaganita of Bhaskaracarya - Part 2 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 25 - Ganitakaumudi of Narayana Pandita - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 26 - Ganitakaumudi of Narayana Pandita - Part 2 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 27 - Ganitakaumudi of Narayana Pandita - Part 3 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 28 - Magic Squares - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 29 - Magic Squares - Part 2 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 30 - Development of Calculus in India - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 31 - Development of Calculus in India - Part 2 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 32 - Jyanayanam: Computation of Rsines |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 33 - Trigonometry and Spherical Trigonometry - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 34 - Trigonometry and Spherical Trigonometry - Part 2 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 35 - Trigonometry and Spherical Trigonometry - Part 3 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 36 - Proofs in Indian Mathematics - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 37 - Proofs in Indian Mathematics - Part 2 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 38 - Proofs in Indian Mathematics - Part 3 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 39 - Mathematics in Modern India - Part 1 |
Link |
Mathematics in India - From Vedic Period to Modern Times |
Lecture 40 - Mathematics in Modern India - Part 2 |
Link |
NOC:Measure Theory |
Lecture 1 - (1A) Introduction, Extended Real Numbers |
Link |
NOC:Measure Theory |
Lecture 2 - (1B) Introduction, Extended Real Numbers |
Link |
NOC:Measure Theory |
Lecture 3 - (2A) Algebra and Sigma Algebra of Subsets of a Set |
Link |
NOC:Measure Theory |
Lecture 4 - (2B) Algebra and Sigma Algebra of Subsets of a Set |
Link |
NOC:Measure Theory |
Lecture 5 - (3A) Sigma Algebra generated by a Class |
Link |
NOC:Measure Theory |
Lecture 6 - (3B) Sigma Algebra generated by a Class |
Link |
NOC:Measure Theory |
Lecture 7 - (4A) Monotone Class |
Link |
NOC:Measure Theory |
Lecture 8 - (4B) Monotone Class |
Link |
NOC:Measure Theory |
Lecture 9 - (5A) Set Functions |
Link |
NOC:Measure Theory |
Lecture 10 - (5B) Set Functions |
Link |
NOC:Measure Theory |
Lecture 11 - (6A) The Length Function and its Properties |
Link |
NOC:Measure Theory |
Lecture 12 - (6B) The Length Function and its Properties |
Link |
NOC:Measure Theory |
Lecture 13 - (7A) Countably Additive Set Functions on Intervals |
Link |
NOC:Measure Theory |
Lecture 14 - (7B) Countably Additive Set Functions on Intervals |
Link |
NOC:Measure Theory |
Lecture 15 - (8A) Uniqueness Problem for Measure |
Link |
NOC:Measure Theory |
Lecture 16 - (8B) Uniqueness Problem for Measure |
Link |
NOC:Measure Theory |
Lecture 17 - (9A) Extension of Measure |
Link |
NOC:Measure Theory |
Lecture 18 - (9B) Extension of Measure |
Link |
NOC:Measure Theory |
Lecture 19 - (10A) Outer Measure and its Properties |
Link |
NOC:Measure Theory |
Lecture 20 - (10B) Outer Measure and its Properties |
Link |
NOC:Measure Theory |
Lecture 21 - (11A) Measurable Sets |
Link |
NOC:Measure Theory |
Lecture 22 - (11B) Measurable Sets |
Link |
NOC:Measure Theory |
Lecture 23 - (12A) Lebesgue Measure and its Properties |
Link |
NOC:Measure Theory |
Lecture 24 - (12B) Lebesgue Measure and its Properties |
Link |
NOC:Measure Theory |
Lecture 25 - (13A) Characterization of Lebesgue Measurable Sets |
Link |
NOC:Measure Theory |
Lecture 26 - (13B) Characterization of Lebesgue Measurable Sets |
Link |
NOC:Measure Theory |
Lecture 27 - (14A) Measurable Functions |
Link |
NOC:Measure Theory |
Lecture 28 - (14B) Measurable Functions |
Link |
NOC:Measure Theory |
Lecture 29 - (15A) Properties of Measurable Functions |
Link |
NOC:Measure Theory |
Lecture 30 - (15B) Properties of Measurable Functions |
Link |
NOC:Measure Theory |
Lecture 31 - (16A) Measurable Functions on Measure Spaces |
Link |
NOC:Measure Theory |
Lecture 32 - (16B) Measurable Functions on Measure Spaces |
Link |
NOC:Measure Theory |
Lecture 33 - (17A) Integral of Nonnegative Simple Measurable Functions |
Link |
NOC:Measure Theory |
Lecture 34 - (17B) Integral of Nonnegative Simple Measurable Functions |
Link |
NOC:Measure Theory |
Lecture 35 - (18A) Properties of Nonnegative Simple Measurable Functions |
Link |
NOC:Measure Theory |
Lecture 36 - (18B) Properties of Nonnegative Simple Measurable Functions |
Link |
NOC:Measure Theory |
Lecture 37 - (19A) Monotone Convergence Theorem and Fatou's Lemma |
Link |
NOC:Measure Theory |
Lecture 38 - (19B) Monotone Convergence Theorem and Fatou's Lemma |
Link |
NOC:Measure Theory |
Lecture 39 - (20A) Properties of Integrable Functions and Dominated Convergence Theorem |
Link |
NOC:Measure Theory |
Lecture 40 - (20B) Properties of Integrable Functions and Dominated Convergence Theorem |
Link |
NOC:Measure Theory |
Lecture 41 - (21A) Dominated Convergence Theorem and Applications |
Link |
NOC:Measure Theory |
Lecture 42 - (21B) Dominated Convergence Theorem and Applications |
Link |
NOC:Measure Theory |
Lecture 43 - (22A) Lebesgue Integral and its Properties |
Link |
NOC:Measure Theory |
Lecture 44 - (22B) Lebesgue Integral and its Properties |
Link |
NOC:Measure Theory |
Lecture 45 - (23A) Product Measure, an Introduction |
Link |
NOC:Measure Theory |
Lecture 46 - (23B) Product Measure, an Introduction |
Link |
NOC:Measure Theory |
Lecture 47 - (24A) Construction of Product Measures |
Link |
NOC:Measure Theory |
Lecture 48 - (24B) Construction of Product Measures |
Link |
NOC:Measure Theory |
Lecture 49 - (25A) Computation of Product Measure - I |
Link |
NOC:Measure Theory |
Lecture 50 - (25B) Computation of Product Measure - I |
Link |
NOC:Measure Theory |
Lecture 51 - (26A) Computation of Product Measure - II |
Link |
NOC:Measure Theory |
Lecture 52 - (26B) Computation of Product Measure - II |
Link |
NOC:Measure Theory |
Lecture 53 - (27A) Integration on Product Spaces |
Link |
NOC:Measure Theory |
Lecture 54 - (27B) Integration on Product Spaces |
Link |
NOC:Measure Theory |
Lecture 55 - (28A) Fubini's Theorems |
Link |
NOC:Measure Theory |
Lecture 56 - (28B) Fubini's Theorems |
Link |
NOC:Measure Theory |
Lecture 57 - (29A) Lebesgue Measure and Integral on R2 |
Link |
NOC:Measure Theory |
Lecture 58 - (29B) Lebesgue Measure and Integral on R2 |
Link |
NOC:Measure Theory |
Lecture 59 - (30A) Properties of Lebesgue Measure on R2 |
Link |
NOC:Measure Theory |
Lecture 60 - (30B) Properties of Lebesgue Measure on R2 |
Link |
NOC:Measure Theory |
Lecture 61 - (31A) Lebesgue Integral on R2 |
Link |
NOC:Measure Theory |
Lecture 62 - (31B) Lebesgue Integral on R2 |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 1 - Introduction to the Course |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 2 - Concept of a Set, Ways of Representing Sets |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 3 - Venn Diagrams, Operations on Sets |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 4 - Operations on Sets, Cardinal Number, Real Numbers |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 5 - Real Numbers, Sequences |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 6 - Sequences, Convergent Sequences, Bounded Sequences |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 7 - Limit Theorems, Sandwich Theorem, Monotone Sequences, Completeness of Real Numbers |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 8 - Relations and Functions |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 9 - Functions, Graph of a Functions, Function Formulas |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 10 - Function Formulas, Linear Models |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 11 - Linear Models, Elasticity, Linear Functions, Nonlinear Models, Quadratic Functions |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 12 - Quadratic Functions, Quadratic Models, Power Function, Exponential Function |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 13 - Exponential Function, Exponential Models, Logarithmic Function |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 14 - Limit of a Function at a Point, Continuous Functions |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 15 - Limit of a Function at a Point |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 16 - Limit of a Function at a Point, Left and Right Limits |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 17 - Computing Limits, Continuous Functions |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 18 - Applications of Continuous Functions |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 19 - Applications of Continuous Functions, Marginal of a Function |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 20 - Rate of Change, Differentiation |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 21 - Rules of Differentiation |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 22 - Derivatives of Some Functions, Marginal, Elasticity |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 23 - Elasticity, Increasing and Decreasing Functions, Optimization, Mean Value Theorem |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 24 - Mean Value Theorem, Marginal Analysis, Local Maxima and Minima |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 25 - Local Maxima and Minima |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 26 - Local Maxima and Minima, Continuity Test, First Derivative Test, Successive Differentiation |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 27 - Successive Differentiation, Second Derivative Test |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 28 - Average and Marginal Product, Marginal of Revenue and Cost, Absolute Maximum and Minimum |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 29 - Absolute Maximum and Minimum |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 30 - Monopoly Market, Revenue and Elasticity |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 31 - Property of Marginals, Monopoly Market, Publisher v/s Author Problem |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 32 - Convex and Concave Functions |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 33 - Derivative Tests for Convexity, Concavity and Points of Inflection, Higher Order Derivative Conditions |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 34 - Convex and Concave Functions, Asymptotes |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 35 - Asymptotes, Curve Sketching |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 36 - Functions of Two Variables, Visualizing Graph, Level Curves, Contour Lines |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 37 - Partial Derivatives and Application to Marginal Analysis |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 38 - Marginals in Cobb-Douglas model, partial derivatives and elasticity, chain rules |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 39 - Chain Rules, Higher Order Partial Derivatives, Local Maxima and Minima, Critical Points |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 40 - Saddle Points, Derivative Tests, Absolute Maxima and Minima |
Link |
NOC:Calculus for Economics, Commerce and Management |
Lecture 41 - Some Examples, Constrained Maxima and Minima |
Link |
NOC:Basic Linear Algebra |
Lecture 1 - Introduction - I |
Link |
NOC:Basic Linear Algebra |
Lecture 2 - Introduction - II |
Link |
NOC:Basic Linear Algebra |
Lecture 3 - Introduction - III |
Link |
NOC:Basic Linear Algebra |
Lecture 4 - Systems of Linear Equations - I |
Link |
NOC:Basic Linear Algebra |
Lecture 5 - Systems of Linear Equations - II |
Link |
NOC:Basic Linear Algebra |
Lecture 6 - Systems of Linear Equations - III |
Link |
NOC:Basic Linear Algebra |
Lecture 7 - Reduced Row Echelon Form and Rank - I |
Link |
NOC:Basic Linear Algebra |
Lecture 8 - Reduced Row Echelon Form and Rank - II |
Link |
NOC:Basic Linear Algebra |
Lecture 9 - Reduced Row Echelon Form and Rank - III |
Link |
NOC:Basic Linear Algebra |
Lecture 10 - Solvability of a Linear System, Linear Span, Basis - I |
Link |
NOC:Basic Linear Algebra |
Lecture 11 - Solvability of a Linear System, Linear Span, Basis - II |
Link |
NOC:Basic Linear Algebra |
Lecture 12 - Solvability of a Linear System, Linear Span, Basis - III |
Link |
NOC:Basic Linear Algebra |
Lecture 13 - Linear Span, Linear Independence and Basis - I |
Link |
NOC:Basic Linear Algebra |
Lecture 14 - Linear Span, Linear Independence and Basis - II |
Link |
NOC:Basic Linear Algebra |
Lecture 15 - Linear Span, Linear Independence and Basis - III |
Link |
NOC:Basic Linear Algebra |
Lecture 16 - Row Space, Column Space, Rank-Nullity Theorem - I |
Link |
NOC:Basic Linear Algebra |
Lecture 17 - Row Space, Column Space, Rank-Nullity Theorem - II |
Link |
NOC:Basic Linear Algebra |
Lecture 18 - Row Space, Column Space, Rank-Nullity Theorem - III |
Link |
NOC:Basic Linear Algebra |
Lecture 19 - Determinants and their Properties - I |
Link |
NOC:Basic Linear Algebra |
Lecture 20 - Determinants and their Properties - II |
Link |
NOC:Basic Linear Algebra |
Lecture 21 - Determinants and their Properties - III |
Link |
NOC:Basic Linear Algebra |
Lecture 22 - Linear Transformations - I |
Link |
NOC:Basic Linear Algebra |
Lecture 23 - Linear Transformations - II |
Link |
NOC:Basic Linear Algebra |
Lecture 24 - Linear Transformations - III |
Link |
NOC:Basic Linear Algebra |
Lecture 25 - Orthonormal Basis, Geometry in R^2 - I |
Link |
NOC:Basic Linear Algebra |
Lecture 26 - Orthonormal Basis, Geometry in R^2 - II |
Link |
NOC:Basic Linear Algebra |
Lecture 27 - Orthonormal Basis, Geometry in R^2 - III |
Link |
NOC:Basic Linear Algebra |
Lecture 28 - Isometries, Eigenvalues and Eigenvectors - I |
Link |
NOC:Basic Linear Algebra |
Lecture 29 - Isometries, Eigenvalues and Eigenvectors - II |
Link |
NOC:Basic Linear Algebra |
Lecture 30 - Isometries, Eigenvalues and Eigenvectors - III |
Link |
NOC:Basic Linear Algebra |
Lecture 31 - Diagonalization and Real Symmetric Matrices - I |
Link |
NOC:Basic Linear Algebra |
Lecture 32 - Diagonalization and Real Symmetric Matrices - II |
Link |
NOC:Basic Linear Algebra |
Lecture 33 - Diagonalization and Real Symmetric Matrices - III |
Link |
NOC:Basic Linear Algebra |
Lecture 34 - Diagonalization and its Applications - I |
Link |
NOC:Basic Linear Algebra |
Lecture 35 - Diagonalization and its Applications - II |
Link |
NOC:Basic Linear Algebra |
Lecture 36 - Diagonalization and its Applications - III |
Link |
NOC:Basic Linear Algebra |
Lecture 37 - Abstract Vector Spaces - I |
Link |
NOC:Basic Linear Algebra |
Lecture 38 - Abstract Vector Spaces - II |
Link |
NOC:Basic Linear Algebra |
Lecture 39 - Abstract Vector Spaces - III |
Link |
NOC:Basic Linear Algebra |
Lecture 40 - Inner Product Spaces - I |
Link |
NOC:Basic Linear Algebra |
Lecture 41 - Inner Product Spaces - II |
Link |
NOC:Commutative Algebra |
Lecture 1 - Zariski Topology and K-Spectrum |
Link |
NOC:Commutative Algebra |
Lecture 2 - Algebraic Varieties and Classical Nullstelensatz |
Link |
NOC:Commutative Algebra |
Lecture 3 - Motivation for Krulls Dimension |
Link |
NOC:Commutative Algebra |
Lecture 4 - Chevalleys dimension |
Link |
NOC:Commutative Algebra |
Lecture 5 - Associated Prime Ideals of a Module |
Link |
NOC:Commutative Algebra |
Lecture 6 - Support of a Module |
Link |
NOC:Commutative Algebra |
Lecture 7 - Primary Decomposition |
Link |
NOC:Commutative Algebra |
Lecture 8 - Primary Decomposition (Continued...) |
Link |
NOC:Commutative Algebra |
Lecture 9 - Uniqueness of Primary Decomposition |
Link |
NOC:Commutative Algebra |
Lecture 10 - Modules of Finite Length |
Link |
NOC:Commutative Algebra |
Lecture 11 - Modules of Finite Length (Continued...) |
Link |
NOC:Commutative Algebra |
Lecture 12 - Introduction to Krull’s Dimension |
Link |
NOC:Commutative Algebra |
Lecture 13 - Noether Normalization Lemma (Classical Version) |
Link |
NOC:Commutative Algebra |
Lecture 14 - Consequences of Noether Normalization Lemma |
Link |
NOC:Commutative Algebra |
Lecture 15 - Nil Radical and Jacobson Radical of Finite type Algebras over a Field and digression of Integral Extension |
Link |
NOC:Commutative Algebra |
Lecture 16 - Nagata’s version of NNL |
Link |
NOC:Commutative Algebra |
Lecture 17 - Dimensions of Polynomial ring over Noetherian rings |
Link |
NOC:Commutative Algebra |
Lecture 18 - Dimension of Polynomial Algebra over arbitrary Rings |
Link |
NOC:Commutative Algebra |
Lecture 19 - Dimension Inequalities |
Link |
NOC:Commutative Algebra |
Lecture 20 - Hilbert’s Nullstelensatz |
Link |
NOC:Commutative Algebra |
Lecture 21 - Computational rules for Poincaré Series |
Link |
NOC:Commutative Algebra |
Lecture 22 - Graded Rings, Modules and Poincaré Series |
Link |
NOC:Commutative Algebra |
Lecture 23 - Hilbert-Samuel Polynomials |
Link |
NOC:Commutative Algebra |
Lecture 24 - Hilbert-Samuel Polynomials (Continued...) |
Link |
NOC:Commutative Algebra |
Lecture 25 - Numerical Function of polynomial type |
Link |
NOC:Commutative Algebra |
Lecture 26 - Hilbert-Samuel Polynomial of a Local ring |
Link |
NOC:Commutative Algebra |
Lecture 27 - Filtration on a Module |
Link |
NOC:Commutative Algebra |
Lecture 28 - Artin-Rees Lemma |
Link |
NOC:Commutative Algebra |
Lecture 29 - Dimension Theorem |
Link |
NOC:Commutative Algebra |
Lecture 30 - Dimension Theorem (Continued...) |
Link |
NOC:Commutative Algebra |
Lecture 31 - Consequences of Dimension Theorem |
Link |
NOC:Commutative Algebra |
Lecture 32 - Generalized Krull’s Principal Ideal Theorem |
Link |
NOC:Commutative Algebra |
Lecture 33 - Second proof of Krull’s Principal Ideal Theorem |
Link |
NOC:Commutative Algebra |
Lecture 34 - The Spec Functor |
Link |
NOC:Commutative Algebra |
Lecture 35 - Prime ideals in Polynomial rings |
Link |
NOC:Commutative Algebra |
Lecture 36 - Characterization of Equidimensional Affine Algebra |
Link |
NOC:Commutative Algebra |
Lecture 37 - Connection between Regular local rings and associated graded rings |
Link |
NOC:Commutative Algebra |
Lecture 38 - Statement of the Jacobian Criterion for Regularity |
Link |
NOC:Commutative Algebra |
Lecture 39 - Hilbert function for Affine Algebra |
Link |
NOC:Commutative Algebra |
Lecture 40 - Hilbert Serre Theorem |
Link |
NOC:Commutative Algebra |
Lecture 41 - Jacobian Matrix and its Rank |
Link |
NOC:Commutative Algebra |
Lecture 42 - Jacobian Matrix and its Rank (Continued...) |
Link |
NOC:Commutative Algebra |
Lecture 43 - Proof of Jacobian Critrerion |
Link |
NOC:Commutative Algebra |
Lecture 44 - Proof of Jacobian Critrerion (Continued...) |
Link |
NOC:Commutative Algebra |
Lecture 45 - Preparation for Homological Dimension |
Link |
NOC:Commutative Algebra |
Lecture 46 - Complexes of Modules and Homology |
Link |
NOC:Commutative Algebra |
Lecture 47 - Projective Modules |
Link |
NOC:Commutative Algebra |
Lecture 48 - Homological Dimension and Projective module |
Link |
NOC:Commutative Algebra |
Lecture 49 - Global Dimension |
Link |
NOC:Commutative Algebra |
Lecture 50 - Homological characterization of Regular Local Rings (RLR) |
Link |
NOC:Commutative Algebra |
Lecture 51 - Homological characterization of Regular Local Rings (Continued...) |
Link |
NOC:Commutative Algebra |
Lecture 52 - Homological Characterization of Regular Local Rings (Continued...) |
Link |
NOC:Commutative Algebra |
Lecture 53 - Regular Local Rings are UFD |
Link |
NOC:Commutative Algebra |
Lecture 54 - RLR-Prime ideals of height 1 |
Link |
NOC:Commutative Algebra |
Lecture 55 - Discrete Valuation Ring |
Link |
NOC:Commutative Algebra |
Lecture 56 - Discrete Valuation Ring (Continued...) |
Link |
NOC:Commutative Algebra |
Lecture 57 - Dedekind Domains |
Link |
NOC:Commutative Algebra |
Lecture 58 - Fractionary Ideals and Dedekind Domains |
Link |
NOC:Commutative Algebra |
Lecture 59 - Characterization of Dedekind Domain |
Link |
NOC:Commutative Algebra |
Lecture 60 - Dedekind Domains and prime factorization of ideals |
Link |
NOC:Galois Theory |
Lecture 1 - Historical Perspectives |
Link |
NOC:Galois Theory |
Lecture 2 - Examples of Fields |
Link |
NOC:Galois Theory |
Lecture 3 - Polynomials and Basic properties |
Link |
NOC:Galois Theory |
Lecture 4 - Polynomial Rings |
Link |
NOC:Galois Theory |
Lecture 5 - Unit and Unit Groups |
Link |
NOC:Galois Theory |
Lecture 6 - Division with remainder and prime factorization |
Link |
NOC:Galois Theory |
Lecture 7 - Zeroes of Polynomials |
Link |
NOC:Galois Theory |
Lecture 8 - Polynomial functions |
Link |
NOC:Galois Theory |
Lecture 9 - Algebraically closed Fields and statement of FTA |
Link |
NOC:Galois Theory |
Lecture 10 - Gauss’s Theorem(Uniqueness of factorization) |
Link |
NOC:Galois Theory |
Lecture 11 - Digression on Rings homomorphism, Algebras |
Link |
NOC:Galois Theory |
Lecture 12 - Kernel of homomorphisms and ideals in K[X],Z |
Link |
NOC:Galois Theory |
Lecture 13 - Algebraic elements |
Link |
NOC:Galois Theory |
Lecture 14 - Examples |
Link |
NOC:Galois Theory |
Lecture 15 - Minimal Polynomials |
Link |
NOC:Galois Theory |
Lecture 16 - Characterization of Algebraic elements |
Link |
NOC:Galois Theory |
Lecture 17 - Theorem of Kronecker |
Link |
NOC:Galois Theory |
Lecture 18 - Examples |
Link |
NOC:Galois Theory |
Lecture 19 - Digression on Groups |
Link |
NOC:Galois Theory |
Lecture 20 - Some examples and Characteristic of a Ring |
Link |
NOC:Galois Theory |
Lecture 21 - Finite subGroups of the Unit Group of a Field |
Link |
NOC:Galois Theory |
Lecture 22 - Construction of Finite Fields |
Link |
NOC:Galois Theory |
Lecture 23 - Digression on Group action - I |
Link |
NOC:Galois Theory |
Lecture 24 - Automorphism Groups of a Field Extension |
Link |
NOC:Galois Theory |
Lecture 25 - Dedekind-Artin Theorem |
Link |
NOC:Galois Theory |
Lecture 26 - Galois Extension |
Link |
NOC:Galois Theory |
Lecture 27 - Examples of Galois extension |
Link |
NOC:Galois Theory |
Lecture 28 - Examples of Automorphism Groups |
Link |
NOC:Galois Theory |
Lecture 29 - Digression on Linear Algebra |
Link |
NOC:Galois Theory |
Lecture 30 - Minimal and Characteristic Polynomials, Norms, Trace of elements |
Link |
NOC:Galois Theory |
Lecture 31 - Primitive Element Theorem for Galois Extension |
Link |
NOC:Galois Theory |
Lecture 32 - Fundamental Theorem of Galois Theory |
Link |
NOC:Galois Theory |
Lecture 33 - Fundamental Theorem of Galois Theory (Continued...) |
Link |
NOC:Galois Theory |
Lecture 34 - Cyclotomic extensions |
Link |
NOC:Galois Theory |
Lecture 35 - Cyclotomic Polynomials |
Link |
NOC:Galois Theory |
Lecture 36 - Irreducibility of Cyclotomic Polynomials over Q |
Link |
NOC:Galois Theory |
Lecture 37 - Reducibility of Cyclotomic Polynomials over Finite Fields |
Link |
NOC:Galois Theory |
Lecture 38 - Galois Group of Cyclotomic Polynomials |
Link |
NOC:Galois Theory |
Lecture 39 - Extension over a fixed Field of a finite subGroup is Galois Extension |
Link |
NOC:Galois Theory |
Lecture 40 - Digression on Group action - II |
Link |
NOC:Galois Theory |
Lecture 41 - Correspondence of Normal SubGroups and Galois sub-extensions |
Link |
NOC:Galois Theory |
Lecture 42 - Correspondence of Normal SubGroups and Galois sub-extensions (Continued...) |
Link |
NOC:Galois Theory |
Lecture 43 - Inverse Galois problem for Abelian Groups |
Link |
NOC:Galois Theory |
Lecture 44 - Elementary Symmetric Polynomials |
Link |
NOC:Galois Theory |
Lecture 45 - Fundamental Theorem on Symmetric Polynomials |
Link |
NOC:Galois Theory |
Lecture 46 - Gal (K[X1,X2,…,Xn]/K[S1,S2,...,Sn]) |
Link |
NOC:Galois Theory |
Lecture 47 - Digression on Symmetric and Alternating Group |
Link |
NOC:Galois Theory |
Lecture 48 - Discriminant of a Polynomial |
Link |
NOC:Galois Theory |
Lecture 49 - Zeroes and Embeddings |
Link |
NOC:Galois Theory |
Lecture 50 - Normal Extensions |
Link |
NOC:Galois Theory |
Lecture 51 - Existence of Algebraic Closure |
Link |
NOC:Galois Theory |
Lecture 52 - Uniqueness of Algebraic Closure |
Link |
NOC:Galois Theory |
Lecture 53 - Proof of The Fundamental Theorem of Algebra |
Link |
NOC:Galois Theory |
Lecture 54 - Galois Group of a Polynomial |
Link |
NOC:Galois Theory |
Lecture 55 - Perfect Fields |
Link |
NOC:Galois Theory |
Lecture 56 - Embeddings |
Link |
NOC:Galois Theory |
Lecture 57 - Characterization of finite Separable extension |
Link |
NOC:Galois Theory |
Lecture 58 - Primitive Element Theorem |
Link |
NOC:Galois Theory |
Lecture 59 - Equivalence of Galois extensions and Normal-Separable extensions |
Link |
NOC:Galois Theory |
Lecture 60 - Operation of Galois Group of Polynomial on the set of zeroes |
Link |
NOC:Galois Theory |
Lecture 61 - Discriminants |
Link |
NOC:Galois Theory |
Lecture 62 - Examples for further study |
Link |
NOC:Basic Real Analysis |
Lecture 1 - Real Numbers and Sequences - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 2 - Real Numbers and Sequences - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 3 - Real Numbers and Sequences - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 4 - Convergence of Sequences - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 5 - Convergence of Sequences - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 6 - Convergence of Sequences - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 7 - The LUB Property and Consequences - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 8 - The LUB Property and Consequences - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 9 - The LUB Property and Consequences - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 10 - Topology of Real Numbers: Closed Sets - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 11 - Topology of Real Numbers: Closed Sets - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 12 - Topology of Real Numbers: Closed Sets - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 13 - Topology of Real Numbers: Limit Points, Interior Points, Open Sets and Compact Sets - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 14 - Topology of Real Numbers: Limit Points, Interior Points, Open Sets and Compact Sets - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 15 - Topology of Real Numbers: Limit Points, Interior Points, Open Sets and Compact Sets - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 16 - Topology of Real Numbers: Compact Sets and Connected Sets - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 17 - Topology of Real Numbers: Compact Sets and Connected Sets - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 18 - Topology of Real Numbers: Compact Sets and Connected Sets - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 19 - Topology of Real Numbers: Connected Sets; Limits and Continuity - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 20 - Topology of Real Numbers: Connected Sets; Limits and Continuity - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 21 - Topology of Real Numbers: Connected Sets; Limits and Continuity - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 22 - Continuity and Uniform continuity - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 23 - Continuity and Uniform continuity - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 24 - Continuity and Uniform continuity - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 25 - Uniform continuity and connected sets - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 26 - Uniform continuity and connected sets - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 27 - Uniform continuity and connected sets - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 28 - Connected sets and continuity - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 29 - Connected sets and continuity - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 30 - Connected sets and continuity - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 31 - Differentiability - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 32 - Differentiability - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 33 - Differentiability - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 34 - Differentiability - Part IV |
Link |
NOC:Basic Real Analysis |
Lecture 35 - Differentiability - Part V |
Link |
NOC:Basic Real Analysis |
Lecture 36 - Differentiability - Part VI |
Link |
NOC:Basic Real Analysis |
Lecture 37 - Riemann Integration - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 38 - Riemann Integration - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 39 - Riemann Integration - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 40 - Riemann Integration - Part IV |
Link |
NOC:Basic Real Analysis |
Lecture 41 - Riemann Integration - Part V |
Link |
NOC:Basic Real Analysis |
Lecture 42 - Riemann Integration - Part VI |
Link |
NOC:Basic Real Analysis |
Lecture 43 - Riemann Sum and Riemann Integrals - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 44 - Riemann Sum and Riemann Integrals - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 45 - Riemann Sum and Riemann Integrals - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 46 - Optimization in several variables - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 47 - Optimization in several variables - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 48 - Optimization in several variables - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 49 - Integration in several variables - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 50 - Integration in several variables - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 51 - Integration in several variables - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 52 - Change of variables - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 53 - Change of variables - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 54 - Change of variables - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 55 - Change of variables - Part IV |
Link |
NOC:Basic Real Analysis |
Lecture 56 - Metric Spaces - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 57 - Metric Spaces - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 58 - Metric Spaces - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 59 - L^p Metrics - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 60 - L^p Metrics - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 61 - L^p Metrics - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 62 - Pointwise and Uniform convergence - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 63 - Pointwise and Uniform convergence - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 64 - Pointwise and Uniform convergence - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 65 - Pointwise and Uniform convergence - Part IV |
Link |
NOC:Basic Real Analysis |
Lecture 66 - Series of Numbers - Part I |
Link |
NOC:Basic Real Analysis |
Lecture 67 - Series of Numbers - Part II |
Link |
NOC:Basic Real Analysis |
Lecture 68 - Series of Numbers - Part III |
Link |
NOC:Basic Real Analysis |
Lecture 69 - Alternating Series and Power Series |
Link |
NOC:A Basic Course in Number Theory |
Lecture 1 - Integers |
Link |
NOC:A Basic Course in Number Theory |
Lecture 2 - Divisibility and primes |
Link |
NOC:A Basic Course in Number Theory |
Lecture 3 - Infinitude of primes |
Link |
NOC:A Basic Course in Number Theory |
Lecture 4 - Division algorithm and the GCD |
Link |
NOC:A Basic Course in Number Theory |
Lecture 5 - Computing the GCD and Euclid’s lemma |
Link |
NOC:A Basic Course in Number Theory |
Lecture 6 - Fundamental theorem of arithmetic |
Link |
NOC:A Basic Course in Number Theory |
Lecture 7 - Stories around primes |
Link |
NOC:A Basic Course in Number Theory |
Lecture 8 - Winding up on `Primes' and introducing Congruences' |
Link |
NOC:A Basic Course in Number Theory |
Lecture 9 - Basic results in congruences |
Link |
NOC:A Basic Course in Number Theory |
Lecture 10 - Residue classes modulo n |
Link |
NOC:A Basic Course in Number Theory |
Lecture 11 - Arithmetic modulo n, theory and examples |
Link |
NOC:A Basic Course in Number Theory |
Lecture 12 - Arithmetic modulo n, more examples |
Link |
NOC:A Basic Course in Number Theory |
Lecture 13 - Solving linear polynomials modulo n - I |
Link |
NOC:A Basic Course in Number Theory |
Lecture 14 - Solving linear polynomials modulo n - II |
Link |
NOC:A Basic Course in Number Theory |
Lecture 15 - Solving linear polynomials modulo n - III |
Link |
NOC:A Basic Course in Number Theory |
Lecture 16 - Solving linear polynomials modulo n - IV |
Link |
NOC:A Basic Course in Number Theory |
Lecture 17 - Chinese remainder theorem, the initial cases |
Link |
NOC:A Basic Course in Number Theory |
Lecture 18 - Chinese remainder theorem, the general case and examples |
Link |
NOC:A Basic Course in Number Theory |
Lecture 19 - Chinese remainder theorem, more examples |
Link |
NOC:A Basic Course in Number Theory |
Lecture 20 - Using the CRT, square roots of 1 in ℤn |
Link |
NOC:A Basic Course in Number Theory |
Lecture 21 - Wilson's theorem |
Link |
NOC:A Basic Course in Number Theory |
Lecture 22 - Roots of polynomials over ℤp |
Link |
NOC:A Basic Course in Number Theory |
Lecture 23 - Euler 𝜑-function - I |
Link |
NOC:A Basic Course in Number Theory |
Lecture 24 - Euler 𝜑-function - II |
Link |
NOC:A Basic Course in Number Theory |
Lecture 25 - Primitive roots - I |
Link |
NOC:A Basic Course in Number Theory |
Lecture 26 - Primitive roots - II |
Link |
NOC:A Basic Course in Number Theory |
Lecture 27 - Primitive roots - III |
Link |
NOC:A Basic Course in Number Theory |
Lecture 28 - Primitive roots - IV |
Link |
NOC:A Basic Course in Number Theory |
Lecture 29 - Structure of Un - I |
Link |
NOC:A Basic Course in Number Theory |
Lecture 30 - Structure of Un - II |
Link |
NOC:A Basic Course in Number Theory |
Lecture 31 - Quadratic residues |
Link |
NOC:A Basic Course in Number Theory |
Lecture 32 - The Legendre symbol |
Link |
NOC:A Basic Course in Number Theory |
Lecture 33 - Quadratic reciprocity law - I |
Link |
NOC:A Basic Course in Number Theory |
Lecture 34 - Quadratic reciprocity law - II |
Link |
NOC:A Basic Course in Number Theory |
Lecture 35 - Quadratic reciprocity law - III |
Link |
NOC:A Basic Course in Number Theory |
Lecture 36 - Quadratic reciprocity law - IV |
Link |
NOC:A Basic Course in Number Theory |
Lecture 37 - The Jacobi symbol |
Link |
NOC:A Basic Course in Number Theory |
Lecture 38 - Binary quadratic forms |
Link |
NOC:A Basic Course in Number Theory |
Lecture 39 - Equivalence of binary quadratic forms |
Link |
NOC:A Basic Course in Number Theory |
Lecture 40 - Discriminant of a binary quadratic form |
Link |
NOC:A Basic Course in Number Theory |
Lecture 41 - Reduction theory of integral binary quadratic forms |
Link |
NOC:A Basic Course in Number Theory |
Lecture 42 - Reduced forms up to equivalence - I |
Link |
NOC:A Basic Course in Number Theory |
Lecture 43 - Reduced forms up to equivalence - II |
Link |
NOC:A Basic Course in Number Theory |
Lecture 44 - Reduced forms up to equivalence - III |
Link |
NOC:A Basic Course in Number Theory |
Lecture 45 - Sums of squares - I |
Link |
NOC:A Basic Course in Number Theory |
Lecture 46 - Sums of squares - II |
Link |
NOC:A Basic Course in Number Theory |
Lecture 47 - Sums of squares - III |
Link |
NOC:A Basic Course in Number Theory |
Lecture 48 - Beyond sums of squares - I |
Link |
NOC:A Basic Course in Number Theory |
Lecture 49 - Beyond sums of squares - II |
Link |
NOC:A Basic Course in Number Theory |
Lecture 50 - Continued fractions - basic results |
Link |
NOC:A Basic Course in Number Theory |
Lecture 51 - Dirichlet's approximation theorem |
Link |
NOC:A Basic Course in Number Theory |
Lecture 52 - Good rational approximations |
Link |
NOC:A Basic Course in Number Theory |
Lecture 53 - Continued fraction expansion for real numbers - I |
Link |
NOC:A Basic Course in Number Theory |
Lecture 54 - Continued fraction expansion for real numbers - II |
Link |
NOC:A Basic Course in Number Theory |
Lecture 55 - Convergents give better approximations |
Link |
NOC:A Basic Course in Number Theory |
Lecture 56 - Convergents are the best approximations - I |
Link |
NOC:A Basic Course in Number Theory |
Lecture 57 - Convergents are the best approximations - II |
Link |
NOC:A Basic Course in Number Theory |
Lecture 58 - Quadratic irrationals as continued fractions |
Link |
NOC:A Basic Course in Number Theory |
Lecture 59 - Some basics of algebraic number theory |
Link |
NOC:A Basic Course in Number Theory |
Lecture 60 - Units in quadratic fields: the imaginary case |
Link |
NOC:A Basic Course in Number Theory |
Lecture 61 - Units in quadratic fields: the real case |
Link |
NOC:A Basic Course in Number Theory |
Lecture 62 - Brahmagupta-Pell equations |
Link |
NOC:A Basic Course in Number Theory |
Lecture 63 - Tying some loose ends |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 1 - Basic Problem in Topology |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 2 - Concept of homotopy |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 3 - Bird's eye-view of the course |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 4 - Path Homotopy |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 5 - Composition of paths |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 6 - Fundamental group π1 |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 7 - Computation of Fund. Group of a circle |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 8 - Computation (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 9 - Computation concluded |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 10 - Van-Kampen's Theorem |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 11 - Function Spaces |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 12 - Quotient Maps |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 13 - Group Actions |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 14 - Examples of Group Actions |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 15 - Assorted Results on Quotient Spaces |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 16 - Quotient Constructions Typical to Alg. Top |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 17 - Quotient Constructions (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 18 - Relative Homotopy |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 19 - Construction of a typical SDR |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 20 - Generalized construction of SDRs |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 21 - A theoretical application |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 22 - The Harvest |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 23 - NDR pairs |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 24 - General Remarks |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 25 - Basics A ne Geometry |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 26 - Abstract Simplicial Complex |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 27 - Geometric Realization |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 28 - Topology on |K| |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 29 - Simplical maps |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 30 - Polyhedrons |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 31 - Point Set topological Aspects |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 32 - Barycentric Subdivision |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 33 - Finer Subdivisions |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 34 - Simplical Approximation |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 35 - Sperner Lemma |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 36 - Invariance of domain |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 37 - Proof of controled homotopy |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 38 - Links and Stars |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 39 - Homotopical Aspects of Simplicial Complexes |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 40 - Homotopical Aspects |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 41 - Covering Spaces and Fund. Groups |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 42 - Lifting Properties |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 43 - Homotopy Lifting |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 44 - Relation with the fund. Group |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 45 - Regular covering |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 46 - Lifting Problem |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 47 - Classification of Coverings |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 48 - Classification |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 49 - Existence of Simply connected coverings |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 50 - Construction of Simply connected covering |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 51 - Properties Shared by total space and base |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 52 - Examples |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 53 - G-coverings |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 54 - Pull-backs |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 55 - Classification of G-coverings |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 56 - Proof of classification |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 57 - Pushouts and Free products |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 58 - Existence of Free Products, pushouts |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 59 - Free Products and free groups |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 60 - Seifert-Van Kampen Theorems |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 61 - Applications |
Link |
NOC:Introduction to Algebraic Topology - Part I |
Lecture 62 - Applications (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 1 - Introduction |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 2 - Attaching cells |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 3 - Subcomplexes and Examples |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 4 - More examples |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 5 - More Examples |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 6 - Topological Properties |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 7 - Coinduced Topology |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 8 - Compactly generated topology on Products |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 9 - Product of Cell complexes |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 10 - Product of Cell complexes (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 11 - Partition of Unity on CW-complexes |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 12 - Partition of Unity (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 13 - Homotopical Aspects |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 14 - Homotopical Aspects (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 15 - Cellular Maps |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 16 - Cellular Maps (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 17 - Homotopy exact sequence of a pair |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 18 - Homotopy exact sequence of a fibration |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 19 - Categories-Definitions and Examples |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 20 - More Examples |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 21 - Functors |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 22 - Equivalence of Functors (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 23 - Universal Objects |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 24 - Basic Homological Algebra |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 25 - Diagram-Chasing |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 26 - Homology of Chain Complexes |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 27 - Euler Characteristics |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 28 - Singular Homology Groups |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 29 - Basic Properties of Singular Homology |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 30 - Excision |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 31 - Examples of Excision-Mayer Vietoris |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 32 - Applications |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 33 - Applications (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 34 - The Singular Simplicial Homology |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 35 - Simplicial Homology |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 36 - Simplicial Homology (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 37 - CW-Homology and Cellular Singular Homology |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 38 - Construction of CW-chain complex |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 39 - CW structure and CW homology of Lens Spaces |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 40 - Assorted Topics |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 41 - Some Applications of Homology |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 42 - Applications of LFT |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 43 - Jordan-Brouwer |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 44 - Proof of Lemmas |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 45 - Relation between ?1 and H1 |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 46 - All Postponed Proofs |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 47 - Proofs (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 48 - Definitions and Examples |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 49 - Paracompactness |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 50 - Manifolds with Boundary |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 51 - Embeddings and Homotopical Aspects |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 52 - Homotopical Aspects (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 53 - Classification of 1-manifolds |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 54 - Classification of 1-manifolds (Continued...) |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 55 - Triangulation of Manifolds |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 56 - Pseudo-Manifolds |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 57 - One result due to Poincaŕe and another due to Munkres |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 58 - Some General Remarks |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 59 - Classification of Compact Surface |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 60 - Final Reduction-Completion of the Proof |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 61 - Proof of Part B |
Link |
NOC:Introduction to Algebraic Topology - Part II |
Lecture 62 - Orientability |
Link |
NOC:Partial Differential Equations |
Lecture 1 - Partial Differential Equations - Basic concepts and Nomenclature |
Link |
NOC:Partial Differential Equations |
Lecture 2 - First Order Partial Differential Equations- How they arise? Cauchy Problems, IVPs, IBVPs |
Link |
NOC:Partial Differential Equations |
Lecture 3 - First order Partial Differential Equations - Geometry of Quasilinear equations |
Link |
NOC:Partial Differential Equations |
Lecture 4 - FOPDE's - General Solutions to Linear and Semilinear equations |
Link |
NOC:Partial Differential Equations |
Lecture 5 - First order Partial Differential Equations- Lagrange's method for Quasilinear equations |
Link |
NOC:Partial Differential Equations |
Lecture 6 - Relation between Characteristic curves and Integral surfaces for Quasilinear equations |
Link |
NOC:Partial Differential Equations |
Lecture 7 - Relation between Characteristic curves and Integral surfaces for Quasilinear equations |
Link |
NOC:Partial Differential Equations |
Lecture 8 - FOPDE's - Method of characteristics for Quasilinear equations - 1 |
Link |
NOC:Partial Differential Equations |
Lecture 9 - First order Partial Differential Equations - Failure of transversality condition |
Link |
NOC:Partial Differential Equations |
Lecture 10 - First order Partial Differential Equations - Tutorial of Quasilinear equations |
Link |
NOC:Partial Differential Equations |
Lecture 11 - FOPDE's - General nonlinear equations 1 - Search for a characteristic direction |
Link |
NOC:Partial Differential Equations |
Lecture 12 - FOPDE's - General nonlinear equations 2 - Characteristic direction and characteristic strip |
Link |
NOC:Partial Differential Equations |
Lecture 13 - FOPDE's - General nonlinear equations 3 - Finding an initial strip |
Link |
NOC:Partial Differential Equations |
Lecture 14 - FOPDE's - General nonlinear equations 4 - Local existence and uniqueness theorem |
Link |
NOC:Partial Differential Equations |
Lecture 15 - First order Partial Differential Equations - Tutorial on General nonlinear equations |
Link |
NOC:Partial Differential Equations |
Lecture 16 - First order Partial Differential Equations - Initial value problems for Burgers equation |
Link |
NOC:Partial Differential Equations |
Lecture 17 - FOPDE's - Conservation laws with a view towards global solutions to Burgers equation |
Link |
NOC:Partial Differential Equations |
Lecture 18 - Second Order Partial Differential Equations - Special Curves associated to a PDE |
Link |
NOC:Partial Differential Equations |
Lecture 19 - Second Order Partial Differential Equations - Curves of discontinuity |
Link |
NOC:Partial Differential Equations |
Lecture 20 - Second Order Partial Differential Equations - Classification |
Link |
NOC:Partial Differential Equations |
Lecture 21 - SOPDE's - Canonical form for an equation of Hyperbolic type |
Link |
NOC:Partial Differential Equations |
Lecture 22 - SOPDE's - Canonical form for an equation of Parabolic type |
Link |
NOC:Partial Differential Equations |
Lecture 23 - SOPDE's - Canonical form for an equation of Elliptic type |
Link |
NOC:Partial Differential Equations |
Lecture 24 - Second Order Partial Differential Equations - Characteristic Surfaces |
Link |
NOC:Partial Differential Equations |
Lecture 25 - SOPDE's - Canonical forms for constant coefficient PDEs |
Link |
NOC:Partial Differential Equations |
Lecture 26 - Wave Equation - A mathematical model for vibrating strings |
Link |
NOC:Partial Differential Equations |
Lecture 27 - Wave Equation in one space dimension - d'Alembert formula |
Link |
NOC:Partial Differential Equations |
Lecture 28 - Tutorial on One dimensional wave equation |
Link |
NOC:Partial Differential Equations |
Lecture 29 - Wave Equation in d space dimensions - Equivalent Cauchy problems via Spherical means |
Link |
NOC:Partial Differential Equations |
Lecture 30 - Cauchy problem for Wave Equation in 3 space dimensions - Poisson-Kirchhoff formulae |
Link |
NOC:Partial Differential Equations |
Lecture 31 - Cauchy problem for Wave Equation in 2 space dimensions - Hadamard's method of descent |
Link |
NOC:Partial Differential Equations |
Lecture 32 - Nonhomogeneous Wave Equation - Duhamel principle |
Link |
NOC:Partial Differential Equations |
Lecture 33 - Wellposedness of Cauchy problem for Wave Equation |
Link |
NOC:Partial Differential Equations |
Lecture 34 - Wave Equation on an interval in? - Solution to an IBVP from first principles |
Link |
NOC:Partial Differential Equations |
Lecture 35 - Tutorial on IBVPs for wave equation |
Link |
NOC:Partial Differential Equations |
Lecture 36 - IBVP for Wave Equation - Separation of Variables Method |
Link |
NOC:Partial Differential Equations |
Lecture 37 - Tutorial on Separation of variables method for wave equation |
Link |
NOC:Partial Differential Equations |
Lecture 38 - Qualitative analysis of Wave equation - Parallelogram identity |
Link |
NOC:Partial Differential Equations |
Lecture 39 - Qualitative analysis of Wave equation - Domain of dependence, domain of influence |
Link |
NOC:Partial Differential Equations |
Lecture 40 - Qualitative analysis of Wave equation - Causality Principle, Finite speed of propagation |
Link |
NOC:Partial Differential Equations |
Lecture 41 - Qualitative analysis of Wave equation - Uniqueness by Energy method |
Link |
NOC:Partial Differential Equations |
Lecture 42 - Qualitative analysis of Wave equation - Huygens Principle |
Link |
NOC:Partial Differential Equations |
Lecture 43 - Qualitative analysis of Wave equation - Generalized solutions to Wave equation |
Link |
NOC:Partial Differential Equations |
Lecture 44 - Qualitative analysis of Wave equation - Propagation of waves |
Link |
NOC:Partial Differential Equations |
Lecture 45 - Laplace equation - Associated Boundary value problems |
Link |
NOC:Partial Differential Equations |
Lecture 46 - Laplace equation - Fundamental solution |
Link |
NOC:Partial Differential Equations |
Lecture 47 - Dirichlet BVP for Laplace equation - Green's function and Poisson's formula |
Link |
NOC:Partial Differential Equations |
Lecture 48 - Laplace equation - Weak maximum principle and its applications |
Link |
NOC:Partial Differential Equations |
Lecture 49 - Laplace equation - Dirichlet BVP on a disk in R2 for Laplace equations |
Link |
NOC:Partial Differential Equations |
Lecture 50 - Tutorial 1 on Laplace equation |
Link |
NOC:Partial Differential Equations |
Lecture 51 - Laplace equation - Mean value property |
Link |
NOC:Partial Differential Equations |
Lecture 52 - Laplace equation - More qualitative properties |
Link |
NOC:Partial Differential Equations |
Lecture 53 - Laplace equation - Strong Maximum Principle and Dirichlet Principle |
Link |
NOC:Partial Differential Equations |
Lecture 54 - Tutorial 2 on Laplace equation |
Link |
NOC:Partial Differential Equations |
Lecture 55 - Cauchy Problem for Heat Equation - 1 |
Link |
NOC:Partial Differential Equations |
Lecture 56 - Cauchy Problem for Heat Equation - 2 |
Link |
NOC:Partial Differential Equations |
Lecture 57 - IBVP for Heat equation Subtitle: Method of Separation of Variables |
Link |
NOC:Partial Differential Equations |
Lecture 58 - Maximum principle for heat equation |
Link |
NOC:Partial Differential Equations |
Lecture 59 - Tutorial on heat equation |
Link |
NOC:Partial Differential Equations |
Lecture 60 - Heat equation Subheading : Infinite speed of propagation, Energy, Backward Problem |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 1 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 2 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 3 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 4 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 5 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 6 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 7 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 8 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 9 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 10 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 11 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 12 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 13 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 14 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 15 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 16 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 17 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 18 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 19 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 20 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 21 - Introduction |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 22 - Creating New Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 23 - Creating New Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 24 - Creating New Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 25 - Creating New Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 26 - Creating New Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 27 - Creating New Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 28 - Creating New Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 29 - Creating New Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 30 - Creating New Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 31 - Creating New Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 32 |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 33 |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 34 |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 35 |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 36 |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 37 |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 38 - Smallness Properties of Topological Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 39 - Smallness Properties of Topological Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 40 - Smallness Properties of Topological Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 41 - Smallness Properties of Topological Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 42 - Smallness Properties of Topological Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 43 - Smallness Properties of Topological Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 44 - Smallness Properties of Topological Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 45 - Smallness Properties of Topological Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 46 - Smallness Properties of Topological Spaces |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 47 - Largeness properties |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 48 - Largeness properties |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 49 - Largeness properties |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 50 - Largeness properties |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 51 - Largeness properties |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 52 - Largeness properties |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 53 - Largeness properties |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 54 - Largeness properties |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 55 - Largeness properties |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 56 |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 57 |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 58 |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 59 |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 60 |
Link |
NOC:An Introduction to Point-Set-Topology - Part I |
Lecture 61 |
Link |
Stochastic Processes |
Lecture 1 - Introduction to Stochastic Processes |
Link |
Stochastic Processes |
Lecture 2 - Introduction to Stochastic Processes (Continued.) |
Link |
Stochastic Processes |
Lecture 3 - Problems in Random Variables and Distributions |
Link |
Stochastic Processes |
Lecture 4 - Problems in Sequences of Random Variables |
Link |
Stochastic Processes |
Lecture 5 - Definition, Classification and Examples |
Link |
Stochastic Processes |
Lecture 6 - Simple Stochastic Processes |
Link |
Stochastic Processes |
Lecture 7 - Stationary Processes |
Link |
Stochastic Processes |
Lecture 8 - Autoregressive Processes |
Link |
Stochastic Processes |
Lecture 9 - Introduction, Definition and Transition Probability Matrix |
Link |
Stochastic Processes |
Lecture 10 - Chapman-Kolmogrov Equations |
Link |
Stochastic Processes |
Lecture 11 - Classification of States and Limiting Distributions |
Link |
Stochastic Processes |
Lecture 12 - Limiting and Stationary Distributions |
Link |
Stochastic Processes |
Lecture 13 - Limiting Distributions, Ergodicity and Stationary Distributions |
Link |
Stochastic Processes |
Lecture 14 - Time Reversible Markov Chain, Application of Irreducible Markov Chain in Queueing Models |
Link |
Stochastic Processes |
Lecture 15 - Reducible Markov Chains |
Link |
Stochastic Processes |
Lecture 16 - Definition, Kolmogrov Differential Equations and Infinitesimal Generator Matrix |
Link |
Stochastic Processes |
Lecture 17 - Limiting and Stationary Distributions, Birth Death Processes |
Link |
Stochastic Processes |
Lecture 18 - Poisson Processes |
Link |
Stochastic Processes |
Lecture 19 - M/M/1 Queueing Model |
Link |
Stochastic Processes |
Lecture 20 - Simple Markovian Queueing Models |
Link |
Stochastic Processes |
Lecture 21 - Queueing Networks |
Link |
Stochastic Processes |
Lecture 22 - Communication Systems |
Link |
Stochastic Processes |
Lecture 23 - Stochastic Petri Nets |
Link |
Stochastic Processes |
Lecture 24 - Conditional Expectation and Filtration |
Link |
Stochastic Processes |
Lecture 25 - Definition and Simple Examples |
Link |
Stochastic Processes |
Lecture 26 - Definition and Properties |
Link |
Stochastic Processes |
Lecture 27 - Processes Derived from Brownian Motion |
Link |
Stochastic Processes |
Lecture 28 - Stochastic Differential Equations |
Link |
Stochastic Processes |
Lecture 29 - Ito Integrals |
Link |
Stochastic Processes |
Lecture 30 - Ito Formula and its Variants |
Link |
Stochastic Processes |
Lecture 31 - Some Important SDE`s and Their Solutions |
Link |
Stochastic Processes |
Lecture 32 - Renewal Function and Renewal Equation |
Link |
Stochastic Processes |
Lecture 33 - Generalized Renewal Processes and Renewal Limit Theorems |
Link |
Stochastic Processes |
Lecture 34 - Markov Renewal and Markov Regenerative Processes |
Link |
Stochastic Processes |
Lecture 35 - Non Markovian Queues |
Link |
Stochastic Processes |
Lecture 36 - Non Markovian Queues Cont,, |
Link |
Stochastic Processes |
Lecture 37 - Application of Markov Regenerative Processes |
Link |
Stochastic Processes |
Lecture 38 - Galton-Watson Process |
Link |
Stochastic Processes |
Lecture 39 - Markovian Branching Process |
Link |
NOC:Stochastic Processes - 1 |
Lecture 1 - Introduction and motivation for studying stochastic processes |
Link |
NOC:Stochastic Processes - 1 |
Lecture 2 - Probability space and conditional probability |
Link |
NOC:Stochastic Processes - 1 |
Lecture 3 - Random variable and cumulative distributive function |
Link |
NOC:Stochastic Processes - 1 |
Lecture 4 - Discrete Uniform Distribution, Binomial Distribution, Geometric Distribution, Continuous Uniform Distribution, Exponential Distribution, Normal Distribution and Poisson Distribution |
Link |
NOC:Stochastic Processes - 1 |
Lecture 5 - Joint Distribution of Random Variables |
Link |
NOC:Stochastic Processes - 1 |
Lecture 6 - Independent Random Variables, Covariance and Correlation Coefficient and Conditional Distribution |
Link |
NOC:Stochastic Processes - 1 |
Lecture 7 - Conditional Expectation and Covariance Matrix |
Link |
NOC:Stochastic Processes - 1 |
Lecture 8 - Generating Functions, Law of Large Numbers and Central Limit Theorem |
Link |
NOC:Stochastic Processes - 1 |
Lecture 9 - Problems in Random variables and Distributions |
Link |
NOC:Stochastic Processes - 1 |
Lecture 10 - Problems in Random variables and Distributions (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 11 - Problems in Random variables and Distributions (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 12 - Problems in Random variables and Distributions (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 13 - Problems in Sequences of Random Variables |
Link |
NOC:Stochastic Processes - 1 |
Lecture 14 - Problems in Sequences of Random Variables (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 15 - Problems in Sequences of Random Variables (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 16 - Problems in Sequences of Random Variables (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 17 - Definition of Stochastic Processes, Parameter and State Spaces |
Link |
NOC:Stochastic Processes - 1 |
Lecture 18 - Classification of Stochastic Processes |
Link |
NOC:Stochastic Processes - 1 |
Lecture 19 - Examples of Classification of Stochastic Processes |
Link |
NOC:Stochastic Processes - 1 |
Lecture 20 - Examples of Classification of Stochastic Processes (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 21 - Bernoulli Process |
Link |
NOC:Stochastic Processes - 1 |
Lecture 22 - Poisson Process |
Link |
NOC:Stochastic Processes - 1 |
Lecture 23 - Poisson Process (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 24 - Simple Random Walk and Population Processes |
Link |
NOC:Stochastic Processes - 1 |
Lecture 25 - Introduction to Discrete time Markov Chain |
Link |
NOC:Stochastic Processes - 1 |
Lecture 26 - Introduction to Discrete time Markov Chain (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 27 - Examples of Discrete time Markov Chain |
Link |
NOC:Stochastic Processes - 1 |
Lecture 28 - Examples of Discrete time Markov Chain (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 29 - Introduction to Chapman-Kolmogorov equations |
Link |
NOC:Stochastic Processes - 1 |
Lecture 30 - State Transition Diagram and Examples |
Link |
NOC:Stochastic Processes - 1 |
Lecture 31 - Examples |
Link |
NOC:Stochastic Processes - 1 |
Lecture 32 - Introduction to Classification of States and Periodicity |
Link |
NOC:Stochastic Processes - 1 |
Lecture 33 - Closed set of States and Irreducible Markov Chain |
Link |
NOC:Stochastic Processes - 1 |
Lecture 34 - First Passage time and Mean Recurrence Time |
Link |
NOC:Stochastic Processes - 1 |
Lecture 35 - Recurrent State and Transient State |
Link |
NOC:Stochastic Processes - 1 |
Lecture 36 - Introduction and example of Classification of states |
Link |
NOC:Stochastic Processes - 1 |
Lecture 37 - Example of Classification of states (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 38 - Example of Classification of states (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 39 - Example of Classification of states (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 40 - Introduction and Limiting Distribution |
Link |
NOC:Stochastic Processes - 1 |
Lecture 41 - Example of Limiting Distribution and Ergodicity |
Link |
NOC:Stochastic Processes - 1 |
Lecture 42 - Stationary Distribution and Examples |
Link |
NOC:Stochastic Processes - 1 |
Lecture 43 - Examples of Stationary Distributions |
Link |
NOC:Stochastic Processes - 1 |
Lecture 44 - Time Reversible Markov Chain and Examples |
Link |
NOC:Stochastic Processes - 1 |
Lecture 45 - Definition of Reducible Markov Chains and Types of Reducible Markov Chains |
Link |
NOC:Stochastic Processes - 1 |
Lecture 46 - Stationary Distributions and Types of Reducible Markov chains |
Link |
NOC:Stochastic Processes - 1 |
Lecture 47 - Type of Reducible Markov Chains (Continued...) |
Link |
NOC:Stochastic Processes - 1 |
Lecture 48 - Gambler's Ruin Problem |
Link |
NOC:Stochastic Processes - 1 |
Lecture 49 - Introduction to Continuous time Markov Chain |
Link |
NOC:Stochastic Processes - 1 |
Lecture 50 - Waiting time Distribution |
Link |
NOC:Stochastic Processes - 1 |
Lecture 51 - Chapman-Kolmogorov Equation |
Link |
NOC:Stochastic Processes - 1 |
Lecture 52 - Infinitesimal Generator Matrix |
Link |
NOC:Stochastic Processes - 1 |
Lecture 53 - Introduction and Example Of Continuous time Markov Chain |
Link |
NOC:Stochastic Processes - 1 |
Lecture 54 - Limiting and Stationary Distributions |
Link |
NOC:Stochastic Processes - 1 |
Lecture 55 - Time reversible CTMC and Birth Death Process |
Link |
NOC:Stochastic Processes - 1 |
Lecture 56 - Steady State Distributions, Pure Birth Process and Pure Death Process |
Link |
NOC:Stochastic Processes - 1 |
Lecture 57 - Introduction to Poisson Process |
Link |
NOC:Stochastic Processes - 1 |
Lecture 58 - Definition of Poisson Process |
Link |
NOC:Stochastic Processes - 1 |
Lecture 59 - Superposition and Deposition of Poisson Process |
Link |
NOC:Stochastic Processes - 1 |
Lecture 60 - Compound Poisson Process and Examples |
Link |
NOC:Stochastic Processes - 1 |
Lecture 61 - Introduction to Queueing Systems and Kendall Notations |
Link |
NOC:Stochastic Processes - 1 |
Lecture 62 - M/M/1 Queueing Model |
Link |
NOC:Stochastic Processes - 1 |
Lecture 63 - Little's Law, Distribution of Waiting Time and Response Time |
Link |
NOC:Stochastic Processes - 1 |
Lecture 64 - Burke's Theorem and Simulation of M/M/1 queueing Model |
Link |
NOC:Stochastic Processes - 1 |
Lecture 65 - M/M/c Queueing Model |
Link |
NOC:Stochastic Processes - 1 |
Lecture 66 - M/M/1/N Queueing Model |
Link |
NOC:Stochastic Processes - 1 |
Lecture 67 - M/M/c/K Model, M/M/c/c Loss System, M/M/? Self Service System |
Link |
NOC:Stochastic Processes - 1 |
Lecture 68 - Transient Solution of Finite Birth Death Process and Finite Source Markovian Queueing Model |
Link |
NOC:Stochastic Processes - 1 |
Lecture 69 - Queueing Networks Characteristics and Types of Queueing Networks |
Link |
NOC:Stochastic Processes - 1 |
Lecture 70 - Tandem Queueing Networks |
Link |
NOC:Stochastic Processes - 1 |
Lecture 71 - Stationary Distribution and Open Queueing Network |
Link |
NOC:Stochastic Processes - 1 |
Lecture 72 - Jackson's Theorem, Closed Queueing Networks, Gordon and Newell Results |
Link |
NOC:Stochastic Processes - 1 |
Lecture 73 - Wireless Handoff Performance Model and System Description |
Link |
NOC:Stochastic Processes - 1 |
Lecture 74 - Description of 3G Cellular Networks and Queueing Model |
Link |
NOC:Stochastic Processes - 1 |
Lecture 75 - Simulation of Queueing Systems |
Link |
NOC:Stochastic Processes - 1 |
Lecture 76 - Definition and Basic Components of Petri Net and Reachability Analysis |
Link |
NOC:Stochastic Processes - 1 |
Lecture 77 - Arc Extensions in Petri Net, Stochastic Petri Nets and examples |
Link |
NOC:Stochastic Processes |
Lecture 1 - Introduction and motivation for studying stochastic processes |
Link |
NOC:Stochastic Processes |
Lecture 2 - Probability space and conditional probability |
Link |
NOC:Stochastic Processes |
Lecture 3 - Random variable and cumulative distributive function |
Link |
NOC:Stochastic Processes |
Lecture 4 - Discrete Uniform Distribution, Binomial Distribution, Geometric Distribution, Continuous Uniform Distribution, Exponential Distribution, Normal Distribution and Poisson Distribution |
Link |
NOC:Stochastic Processes |
Lecture 5 - Joint Distribution of Random Variables |
Link |
NOC:Stochastic Processes |
Lecture 6 - Independent Random Variables, Covariance and Correlation Coefficient and Conditional Distribution |
Link |
NOC:Stochastic Processes |
Lecture 7 - Conditional Expectation and Covariance Matrix |
Link |
NOC:Stochastic Processes |
Lecture 8 - Generating Functions, Law of Large Numbers and Central Limit Theorem |
Link |
NOC:Stochastic Processes |
Lecture 9 - Problems in Random variables and Distributions |
Link |
NOC:Stochastic Processes |
Lecture 10 - Problems in Random variables and Distributions (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 11 - Problems in Random variables and Distributions (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 12 - Problems in Random variables and Distributions (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 13 - Problems in Sequences of Random Variables |
Link |
NOC:Stochastic Processes |
Lecture 14 - Problems in Sequences of Random Variables (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 15 - Problems in Sequences of Random Variables (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 16 - Problems in Sequences of Random Variables (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 17 - Definition of Stochastic Processes, Parameter and State Spaces |
Link |
NOC:Stochastic Processes |
Lecture 18 - Classification of Stochastic Processes |
Link |
NOC:Stochastic Processes |
Lecture 19 - Examples of Discrete Time Markov Chain |
Link |
NOC:Stochastic Processes |
Lecture 20 - Examples of Discrete Time Markov Chain (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 21 - Bernoulli Process |
Link |
NOC:Stochastic Processes |
Lecture 22 - Poisson Process |
Link |
NOC:Stochastic Processes |
Lecture 23 - Poisson Process (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 24 - Simple Random Walk and Population Processes |
Link |
NOC:Stochastic Processes |
Lecture 25 - Introduction to Discrete time Markov Chain |
Link |
NOC:Stochastic Processes |
Lecture 26 - Introduction to Discrete time Markov Chain (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 27 - Examples of Discrete time Markov Chain |
Link |
NOC:Stochastic Processes |
Lecture 28 - Examples of Discrete time Markov Chain (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 29 - Introduction to Chapman-Kolmogorov equations |
Link |
NOC:Stochastic Processes |
Lecture 30 - State Transition Diagram and Examples |
Link |
NOC:Stochastic Processes |
Lecture 31 - Examples |
Link |
NOC:Stochastic Processes |
Lecture 32 - Introduction to Classification of States and Periodicity |
Link |
NOC:Stochastic Processes |
Lecture 33 - Closed set of States and Irreducible Markov Chain |
Link |
NOC:Stochastic Processes |
Lecture 34 - First Passage time and Mean Recurrence Time |
Link |
NOC:Stochastic Processes |
Lecture 35 - Recurrent State and Transient State |
Link |
NOC:Stochastic Processes |
Lecture 36 - Introduction and example of Classification of states |
Link |
NOC:Stochastic Processes |
Lecture 37 - Example of Classification of states (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 38 - Example of Classification of states (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 39 - Example of Classification of states (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 40 - Introduction and Limiting Distribution |
Link |
NOC:Stochastic Processes |
Lecture 41 - Example of Limiting Distribution and Ergodicity |
Link |
NOC:Stochastic Processes |
Lecture 42 - Stationary Distribution and Examples |
Link |
NOC:Stochastic Processes |
Lecture 43 - Examples of Stationary Distributions |
Link |
NOC:Stochastic Processes |
Lecture 44 - Time Reversible Markov Chain and Examples |
Link |
NOC:Stochastic Processes |
Lecture 45 - Definition of Reducible Markov Chains and Types of Reducible Markov Chains |
Link |
NOC:Stochastic Processes |
Lecture 46 - Stationary Distributions and Types of Reducible Markov chains |
Link |
NOC:Stochastic Processes |
Lecture 47 - Type of Reducible Markov Chains (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 48 - Gambler's Ruin Problem |
Link |
NOC:Stochastic Processes |
Lecture 49 - Introduction to Continuous time Markov Chain |
Link |
NOC:Stochastic Processes |
Lecture 50 - Waiting time Distribution |
Link |
NOC:Stochastic Processes |
Lecture 51 - Chapman-Kolmogorov Equation |
Link |
NOC:Stochastic Processes |
Lecture 52 - Infinitesimal Generator Matrix |
Link |
NOC:Stochastic Processes |
Lecture 53 - Introduction and Example Of Continuous time Markov Chain |
Link |
NOC:Stochastic Processes |
Lecture 54 - Limiting and Stationary Distributions |
Link |
NOC:Stochastic Processes |
Lecture 55 - Time reversible CTMC and Birth Death Process |
Link |
NOC:Stochastic Processes |
Lecture 56 - Steady State Distributions, Pure Birth Process and Pure Death Process |
Link |
NOC:Stochastic Processes |
Lecture 57 - Introduction to Poisson Process |
Link |
NOC:Stochastic Processes |
Lecture 58 - Definition of Poisson Process |
Link |
NOC:Stochastic Processes |
Lecture 59 - Superposition and Deposition of Poisson Process |
Link |
NOC:Stochastic Processes |
Lecture 60 - Compound Poisson Process and Examples |
Link |
NOC:Stochastic Processes |
Lecture 61 - Introduction to Queueing Systems and Kendall Notations |
Link |
NOC:Stochastic Processes |
Lecture 62 - M/M/1 Queueing Model |
Link |
NOC:Stochastic Processes |
Lecture 63 - Little's Law, Distribution of Waiting Time and Response Time |
Link |
NOC:Stochastic Processes |
Lecture 64 - Burke's Theorem and Simulation of M/M/1 queueing Model |
Link |
NOC:Stochastic Processes |
Lecture 65 - M/M/c Queueing Model |
Link |
NOC:Stochastic Processes |
Lecture 66 - M/M/1/N Queueing Model |
Link |
NOC:Stochastic Processes |
Lecture 67 - M/M/c/K Model, M/M/c/c Loss System, M/M/? Self Service System |
Link |
NOC:Stochastic Processes |
Lecture 68 - Transient Solution of Finite Birth Death Process and Finite Source Markovian Queueing Model |
Link |
NOC:Stochastic Processes |
Lecture 69 - Queueing Networks Characteristics and Types of Queueing Networks |
Link |
NOC:Stochastic Processes |
Lecture 70 - Tandem Queueing Networks |
Link |
NOC:Stochastic Processes |
Lecture 71 - Stationary Distribution and Open Queueing Network |
Link |
NOC:Stochastic Processes |
Lecture 72 - Jackson's Theorem, Closed Queueing Networks, Gordon and Newell Results |
Link |
NOC:Stochastic Processes |
Lecture 73 - Wireless Handoff Performance Model and System Description |
Link |
NOC:Stochastic Processes |
Lecture 74 - Description of 3G Cellular Networks and Queueing Model |
Link |
NOC:Stochastic Processes |
Lecture 75 - Simulation of Queueing Systems |
Link |
NOC:Stochastic Processes |
Lecture 76 - Definition and Basic Components of Petri Net and Reachability Analysis |
Link |
NOC:Stochastic Processes |
Lecture 77 - Arc Extensions in Petri Net, Stochastic Petri Nets and examples |
Link |
NOC:Stochastic Processes |
Lecture 78 - Generalized Stochastic Petri Net |
Link |
NOC:Stochastic Processes |
Lecture 79 - Generalized Stochastic Petri Net (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 80 - Conditional Expectation and Examples |
Link |
NOC:Stochastic Processes |
Lecture 81 - Filtration in Discrete time |
Link |
NOC:Stochastic Processes |
Lecture 82 - Remarks of Conditional Expectation and Adaptabilty |
Link |
NOC:Stochastic Processes |
Lecture 83 - Definition and Examples of Martingale |
Link |
NOC:Stochastic Processes |
Lecture 84 - Examples of Martingale (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 85 - Examples of Martingale (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 86 - Doob's Martingale Process, Sub martingale and Super Martingale |
Link |
NOC:Stochastic Processes |
Lecture 87 - Definition of Brownian Motion |
Link |
NOC:Stochastic Processes |
Lecture 88 - Definition of Brownian Motion (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 89 - Properties of Brownian Motion |
Link |
NOC:Stochastic Processes |
Lecture 90 - Processes Derived from Brownian Motion |
Link |
NOC:Stochastic Processes |
Lecture 91 - Processes Derived from Brownian Motion (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 92 - Processes Derived from Brownian Motion (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 93 - Stochastic Differential Equations |
Link |
NOC:Stochastic Processes |
Lecture 94 - Stochastic Differential Equations (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 95 - Stochastic Differential Equations (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 96 - Ito Integrals |
Link |
NOC:Stochastic Processes |
Lecture 97 - Ito Integrals (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 98 - Ito Integrals (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 99 - Renewal Function and Renewal Equation |
Link |
NOC:Stochastic Processes |
Lecture 100 - Renewal Function and Renewal Equation (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 101 - Renewal Function and Renewal Equation (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 102 - Generalized Renewal Processes and Renewal Limit Theorems |
Link |
NOC:Stochastic Processes |
Lecture 103 - Generalized Renewal Processes and Renewal Limit Theorems (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 104 - Generalized Renewal Processes and Renewal Limit Theorems (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 105 - Markov Renewal and Markov Regenerative Processes |
Link |
NOC:Stochastic Processes |
Lecture 106 - Markov Renewal and Markov Regenerative Processes (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 107 - Markov Renewal and Markov Regenerative Processes (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 108 - Markov Renewal and Markov Regenerative Processes (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 109 - Non Markovian Queues |
Link |
NOC:Stochastic Processes |
Lecture 110 - Non Markovian Queues (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 111 - Non Markovian Queues (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 112 - Stationary Processes |
Link |
NOC:Stochastic Processes |
Lecture 113 - Stationary Processes (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 114 - Stationary Processes (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 115 - Stationary Processes (Continued...) and Ergodicity |
Link |
NOC:Stochastic Processes |
Lecture 116 - G1/M/1 queue |
Link |
NOC:Stochastic Processes |
Lecture 117 - G1/M/1 queue (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 118 - G1/M/1/N queue and examples |
Link |
NOC:Stochastic Processes |
Lecture 119 - Galton-Watson Process |
Link |
NOC:Stochastic Processes |
Lecture 120 - Examples and Theorems |
Link |
NOC:Stochastic Processes |
Lecture 121 - Theorems and Examples (Continued...) |
Link |
NOC:Stochastic Processes |
Lecture 122 - Markov Branching Process |
Link |
NOC:Stochastic Processes |
Lecture 123 - Markov Branching Process Theorems and Properties |
Link |
NOC:Stochastic Processes |
Lecture 124 - Markov Branching Process Theorems and Properties (Continued...) |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 1 - The beginning |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 2 - Elementary Concepts |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 3 - Elementary Concepts (Continued...) |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 4 - More on orbits |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 5 - Peiods of Periodic Points |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 6 - Scrambled Sets |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 7 - Sensitive Dependence on Initial Conditions |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 8 - A Population Dynamics Model |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 9 - Bifurcations |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 10 - Nonlinear Systems |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 11 - Horseshoe Attractor |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 12 - Dynamics of the Horseshoe Attractor |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 13 - Recurrence |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 14 - Recurrence (Continued...) |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 15 - Transitivity |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 16 - Devaney’s Chaos |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 17 - Transitivity = Chaos on Intervals |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 18 - Stronger forms of Transitivity |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 19 - Chaotic Properties of Mixing Systems |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 20 - Weakly Mixing and Chaos |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 21 - Strongly Transitive Systems |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 22 - Strongly Transitive Systems (Continued...) |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 23 - Introduction to Symbolic Dynamics |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 24 - Shift Spaces |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 25 - Subshifts of Finite Type |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 26 - Subshifts of Finite Type (Continued...), Chatoic Dynamical Systems |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 27 - Measuring Chaos - Topological Entropy |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 28 - Topological Entropy - Adler’s Version |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 29 - Bowen’s Definition of Topological Entropy |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 30 - Equivalance of the two definitions of Topological Entropy |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 31 - Linear Systems in Two Dimentions |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 32 - Asymptotic Properties of Orbits of Linear Transformation in IR2 |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 33 - Hyperbolic Toral Automorphisms |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 34 - Chaos in Toral Automorphisms |
Link |
NOC:Chaotic Dynamical Systems |
Lecture 35 - Chaotic Attractors of Henon Maps |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 1 - Random experiment, sample space, axioms of probability, probability space |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 2 - Random experiment, sample space, axioms of probability, probability space (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 3 - Random experiment, sample space, axioms of probability, probability space (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 4 - Conditional probability, independence of events. |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 5 - Multiplication rule, total probability rule, Bayes's theorem. |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 6 - Definition of Random Variable, Cumulative Distribution Function |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 7 - Definition of Random Variable, Cumulative Distribution Function (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 8 - Definition of Random Variable, Cumulative Distribution Function (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 9 - Type of Random Variables, Probability Mass Function, Probability Density Function |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 10 - Type of Random Variables, Probability Mass Function, Probability Density Function (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 11 - Distribution of Function of Random Variables |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 12 - Mean and Variance |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 13 - Mean and Variance (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 14 - Higher Order Moments and Moments Inequalities |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 15 - Higher Order Moments and Moments Inequalities (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 16 - Generating Functions |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 17 - Generating Functions (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 18 - Common Discrete Distributions |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 19 - Common Discrete Distributions (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 20 - Common Continuous Distributions |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 21 - Common Continuous Distributions (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 22 - Applications of Random Variable |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 23 - Applications of Random Variable (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 24 - Random vector and joint distribution |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 25 - Joint probability mass function |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 26 - Joint probability density function |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 27 - Independent random variables |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 28 - Independent random variables (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 29 - Functions of several random variables |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 30 - Functions of several random variables (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 31 - Some important results |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 32 - Order statistics |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 33 - Conditional distributions |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 34 - Random sum |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 35 - Moments and Covariance |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 36 - Variance Covariance matrix |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 37 - Multivariate Normal distribution |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 38 - Probability generating function and Moment generating function |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 39 - Correlation coefficient |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 40 - Conditional Expectation |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 41 - Conditional Expectation (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 42 - Modes of Convergence |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 43 - Mode of Convergence (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 44 - Law of Large Numbers |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 45 - Central Limit Theorem |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 46 - Central Limit Theorem (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 47 - Motivation for Stochastic Processes |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 48 - Definition of a Stochastic Process |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 49 - Classification of Stochastic Processes |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 50 - Examples of Stochastic Process |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 51 - Examples Of Stochastic Process (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 52 - Bernoulli Process |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 53 - Poisson Process |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 54 - Poisson Process (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 55 - Simple Random Walk |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 56 - Time Series and Related Definitions |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 57 - Strict Sense Stationary Process |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 58 - Wide Sense Stationary Process and Examples |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 59 - Examples of Stationary Processes (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 60 - Discrete Time Markov Chain (DTMC) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 61 - DTMC (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 62 - Examples of DTMC |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 63 - Examples of DTMC (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 64 - Chapman-Kolmogorov equations and N-step transition matrix |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 65 - Examples based on N-step transition matrix |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 66 - Examples (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 67 - Classification of states |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 68 - Classification of states (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 69 - Calculation of N-Step - 9 |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 70 - Calculation of N-Step - 10 |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 71 - Limiting and Stationary distributions |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 72 - Limiting and Stationary distributions (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 73 - Continuous time Markov chain (CTMC) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 74 - CTMC (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 75 - State transition diagram and Chapman-Kolmogorov equation |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 76 - Infinitesimal generator and Kolmogorov differential equations |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 77 - Limiting distribution |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 78 - Limiting and Stationary distributions - 1 |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 79 - Birth death process |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 80 - Birth death process (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 81 - Poisson process - 1 |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 82 - Poisson process (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 83 - Poisson process (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 84 - Non-homogeneous and compound Poisson process |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 85 - Introduction to Queueing Models and Kendall Notation |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 86 - M/M/1 Queueing Model |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 87 - M/M/1 Queueing Model (Continued...) |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 88 - M/M/1 Queueing Model and Burke's Theorem |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 89 - M/M/c Queueing Model |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 90 - M/M/c (Continued...) and M/M/1/N Model |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 91 - Other Markovian Queueing Models |
Link |
NOC:Introduction to Probability Theory and Stochastic Processes |
Lecture 92 - Transient Solution of Finite Capacity Markovian Queues |
Link |
NOC:Statistical Inference |
Lecture 1 - Statistical Inference - 1 |
Link |
NOC:Statistical Inference |
Lecture 2 - Statistical Inference - 2 |
Link |
NOC:Statistical Inference |
Lecture 3 - Statistical Inference - 3 |
Link |
NOC:Statistical Inference |
Lecture 4 - Statistical Inference - 4 |
Link |
NOC:Statistical Inference |
Lecture 5 - Statistical Inference - 5 |
Link |
NOC:Statistical Inference |
Lecture 6 - Statistical Inference - 6 |
Link |
NOC:Statistical Inference |
Lecture 7 - Statistical Inference - 7 |
Link |
NOC:Statistical Inference |
Lecture 8 - Statistical Inference - 8 |
Link |
NOC:Statistical Inference |
Lecture 9 - Statistical Inference - 9 |
Link |
NOC:Statistical Inference |
Lecture 10 - Statistical Inference - 10 |
Link |
NOC:Statistical Inference |
Lecture 11 - Statistical Inference - 11 |
Link |
NOC:Statistical Inference |
Lecture 12 - Statistical Inference - 12 |
Link |
NOC:Statistical Inference |
Lecture 13 - Statistical Inference - 13 |
Link |
NOC:Statistical Inference |
Lecture 14 - Statistical Inference - 14 |
Link |
NOC:Statistical Inference |
Lecture 15 - Statistical Inference - 15 |
Link |
NOC:Statistical Inference |
Lecture 16 - Stasistical Inference - 16 |
Link |
NOC:Statistical Inference |
Lecture 17 - Stasistical Inference - 17 |
Link |
NOC:Statistical Inference |
Lecture 18 - Statistical Inference - 18 |
Link |
NOC:Statistical Inference |
Lecture 19 - Stasistical Inference - 19 |
Link |
NOC:Statistical Inference |
Lecture 20 - Stasistical Inference - 20 |
Link |
NOC:Statistical Inference |
Lecture 21 - Stasistical Inference - 21 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 1 - Introduction to Fourier Transforms - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 2 - Introduction to Fourier Transforms - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 3 - Introduction to Fourier Transforms - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 4 - Properties of Fourier transforms, Shannon Sampling Theorem, Gibb's Phenomena - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 5 - Properties of Fourier transforms, Shannon Sampling Theorem, Gibb's Phenomena - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 6 - Properties of Fourier transforms, Shannon Sampling Theorem, Gibb's Phenomena - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 7 - Applications of Fourier Transforms - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 8 - Applications of Fourier Transforms - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 9 - Applications of Fourier Transforms - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 10 - Introduction to Laplace Transforms - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 11 - Introduction to Laplace Transforms - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 12 - Introduction to Laplace Transforms - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 13 - Inverse Laplace Transform, Initial and Final Value Theorems - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 14 - Inverse Laplace Transform, Initial and Final Value Theorems - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 15 - Inverse Laplace Transform, Initial and Final Value Theorems - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 16 - Applications of Laplace Transforms - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 17 - Applications of Laplace Transforms - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 18 - Applications of Laplace Transforms - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 19 - Applications of Laplace Transforms (Continued) - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 20 - Applications of Laplace Transforms (Continued) - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 21 - Applications of Laplace Transforms (Continued) - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 22 - Applications of Fourier-Laplace Transforms - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 23 - Applications of Fourier-Laplace Transforms - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 24 - Applications of Fourier-Laplace Transforms - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 25 - Introduction to Hankel Transforms - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 26 - Introduction to Hankel Transforms - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 27 - Introduction to Hankel Transforms - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 28 - Introduction to Mellin Transforms - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 29 - Introduction to Mellin Transforms - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 30 - Introduction to Mellin Transforms - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 31 - Introduction to Hilbert Transforms - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 32 - Introduction to Hilbert Transforms - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 33 - Introduction to Hilbert Transforms - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 34 - Applications of Hilbert Transfroms, Introduction to Stieltjes Transform - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 35 - Applications of Hilbert Transfroms, Introduction to Stieltjes Transform - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 36 - Applications of Hilbert Transfroms, Introduction to Stieltjes Transform - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 37 - Applications of Stieltjes Transform, Generalized Stieltjes Transform - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 38 - Applications of Stieltjes Transform, Generalized Stieltjes Transform - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 39 - Applications of Stieltjes Transform, Generalized Stieltjes Transform - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 40 - Introduction to Legendre Transform - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 41 - Introduction to Legendre Transform - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 42 - Introduction to Legendre Transform - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 43 - Introduction to Z-transform - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 44 - Introduction to Z-transform - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 45 - Introduction to Z-transform - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 46 - Inverse Z-transfrom, Applciations of Z-Transform - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 47 - Inverse Z-transfrom, Applciations of Z-Transform - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 48 - Inverse Z-transfrom, Applciations of Z-Transform - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 49 - Introduction to Radon Transform - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 50 - Introduction to Radon Transform - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 51 - Introduction to Radon Transform - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 52 - Inverse Radon Transform, Applications to Radon Transform - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 53 - Inverse Radon Transform, Applications to Radon Transform - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 54 - Inverse Radon Transform, Applications to Radon Transform - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 55 - Introduction to Fractional Calculus - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 56 - Introduction to Fractional Calculus - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 57 - Introduction to Fractional Calculus - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 58 - Fractional ODEs, Abel's Integral Equations - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 59 - Fractional ODEs, Abel's Integral Equations - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 60 - Fractional ODEs, Abel's Integral Equations - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 61 - Fractional PDEs - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 62 - Fractional PDEs - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 63 - Fractional PDEs - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 64 - Fractional ODEs and PDEs (Continued) - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 65 - Fractional ODEs and PDEs (Continued) - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 66 - Fractional ODEs and PDEs (Continued) - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 67 - Introduction to Wavelet Transform - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 68 - Introduction to Wavelet Transform - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 69 - Introduction to Wavelet Transform - Part 3 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 70 - Discrete Haar, Shanon and Debauchies Wavelet - Part 1 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 71 - Discrete Haar, Shanon and Debauchies Wavelet - Part 2 |
Link |
NOC:Integral Transforms and their Applications |
Lecture 72 - Discrete Haar, Shanon and Debauchies Wavelet - Part 3 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 1 - Fuzzy Sets Arithmetic and Logic - 1 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 2 - Fuzzy Sets Arithmetic and Logic - 2 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 3 - Fuzzy Sets Arithmetic and Logic - 3 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 4 - Fuzzy Sets Arithmetic and Logic - 4 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 5 - Fuzzy Sets Arithmetic and Logic - 5 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 6 - Fuzzy Sets Arithmetic and Logic - 6 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 7 - Fuzzy Sets Arithmetic and Logic - 7 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 8 - Fuzzy Sets Arithmetic and Logic - 8 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 9 - Fuzzy Sets Arithmetic and Logic - 9 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 10 - Fuzzy Sets Arithmetic and Logic - 10 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 11 - Fuzzy Sets Arithmetic and Logic - 11 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 12 - Fuzzy Sets Arithmetic and Logic - 12 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 13 - Fuzzy Sets Arithmetic and Logic - 13 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 14 - Fuzzy Sets Arithmetic and Logic - 14 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 15 - Fuzzy Sets Arithmetic and Logic - 15 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 16 - Fuzzy Sets Arithmetic and Logic - 16 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 17 - Fuzzy Sets Arithmetic and Logic - 17 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 18 - Fuzzy Sets Arithmetic and Logic - 18 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 19 - Fuzzy Sets Arithmetic and Logic - 19 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 20 - Fuzzy Sets Arithmetic and Logic - 20 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 21 - Fuzzy Sets Arithmetic and Logic - 21 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 22 - Fuzzy Sets Arithmetic and Logic - 22 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 23 - Fuzzy Sets Arithmetic and Logic - 23 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 24 - Fuzzy Sets Arithmetic and Logic - 24 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 25 - Fuzzy Sets Arithmetic and Logic - 25 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 26 - Fuzzy Sets Arithmetic and Logic - 26 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 27 - Fuzzy Sets Arithmetic and Logic - 27 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 28 - Fuzzy Sets Arithmetic and Logic - 28 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 29 - Fuzzy Sets Arithmetic and Logic - 29 |
Link |
NOC:Introduction to Fuzzy Set Theory, Arithmetic and Logic |
Lecture 30 - Fuzzy Sets Arithmetic and Logic - 30 |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 1 - Introduction to First Order Differential Equations |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 2 - Introduction to First Order Differential Equations (Continued...) |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 3 - Introduction to Second Order Linear Differential Equations |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 4 - Second Order Linear Differential Equations With Constant Coefficients |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 5 - Second Order Linear Differential Equations With Constant Coefficients (Continued...) |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 6 - Second Order Linear Differential Equations With Variable Coefficients |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 7 - Factorization of Second order Differential Operator and Euler Cauchy Equation |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 8 - Power Series Solution of General Differential Equation |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 9 - Green's function |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 10 - Method of Green's Function for Solving Initial Value and Boundary Value Problems |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 11 - Adjoint Linear Differential Operator |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 12 - Adjoint Linear Differential Operator (Continued...) |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 13 - Sturm-Liouvile Problems |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 14 - Laplace transformation |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 15 - Laplace transformation (Continued...) |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 16 - Laplace Transform Method for Solving Ordinary Differential Equations |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 17 - Laplace Transform Applied to Differential Equations and Convolution |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 18 - Fourier Series |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 19 - Fourier Series (Continued...) |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 20 - Gibbs Phenomenon and Parseval's Identity |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 21 - Fourier Integral and Fourier Transform |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 22 - Fourier Integral and Fourier Transform (Continued...) |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 23 - Fourier Transform Method for Solving Ordinary Differential Equations |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 24 - Frames, Riesz Bases and Orthonormal Bases |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 25 - Frames, Riesz Bases and Orthonormal Bases (Continued...) |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 26 - Fourier Series and Fourier Transform |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 27 - Time-Frequency Analysis and Gabor Transform |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 28 - Window Fourier Transform and Multiresolution Analysis |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 29 - Construction of Scaling Functions and Wavelets Using Multiresolution Analysis |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 30 - Daubechies Wavelet |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 31 - Daubechies Wavelet (Continued...) |
Link |
NOC:Introduction to Methods of Applied Mathematics |
Lecture 32 - Wavelet Transform and Shannon Wavelet |
Link |
NOC:Advanced Probability Theory |
Lecture 1 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 2 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 3 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 4 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 5 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 6 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 7 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 8 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 9 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 10 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 11 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 12 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 13 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 14 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 15 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 16 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 17 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 18 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 19 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 20 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 21 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 22 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 23 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 24 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 25 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 26 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 27 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 28 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 29 - Advanced Probability Theory |
Link |
NOC:Advanced Probability Theory |
Lecture 30 - Advanced Probability Theory |
Link |
NOC:Scientific Computing using Matlab |
Lecture 1 - Introduction to Matlab |
Link |
NOC:Scientific Computing using Matlab |
Lecture 2 - Plotting of Functions in Matlab |
Link |
NOC:Scientific Computing using Matlab |
Lecture 3 - Symbolic Computation in Matlab |
Link |
NOC:Scientific Computing using Matlab |
Lecture 4 - Functions definition in Matlab |
Link |
NOC:Scientific Computing using Matlab |
Lecture 5 - In continuation of basics of Matlab |
Link |
NOC:Scientific Computing using Matlab |
Lecture 6 - In continuation of basics of Matlab (Continued...) |
Link |
NOC:Scientific Computing using Matlab |
Lecture 7 - Floating point representation of a number |
Link |
NOC:Scientific Computing using Matlab |
Lecture 8 - Errors arithmetic |
Link |
NOC:Scientific Computing using Matlab |
Lecture 9 - Iterative method for solving nonlinear equations |
Link |
NOC:Scientific Computing using Matlab |
Lecture 10 - Bisection method for solving nonlinear equations |
Link |
NOC:Scientific Computing using Matlab |
Lecture 11 - Order of Convergence of an Iterative Method |
Link |
NOC:Scientific Computing using Matlab |
Lecture 12 - Regula-Falsi and Secant Method for Solving Nonlinear Equations |
Link |
NOC:Scientific Computing using Matlab |
Lecture 13 - Raphson method for solving nonlinear equations |
Link |
NOC:Scientific Computing using Matlab |
Lecture 14 - Newton-Raphson Method for Solving Nonlinear System of Equations |
Link |
NOC:Scientific Computing using Matlab |
Lecture 15 - Matlab Code for Fixed Point Iteration Method |
Link |
NOC:Scientific Computing using Matlab |
Lecture 16 - Matlab Code for Newton-Raphson and Regula-Falsi Method |
Link |
NOC:Scientific Computing using Matlab |
Lecture 17 - Matlab Code for Newton Method for Solving System of Equations |
Link |
NOC:Scientific Computing using Matlab |
Lecture 18 - Linear System of Equations |
Link |
NOC:Scientific Computing using Matlab |
Lecture 19 - Linear System of Equations (Continued...) |
Link |
NOC:Scientific Computing using Matlab |
Lecture 20 - Gauss Elimination Method for solving Linear System of Equation |
Link |
NOC:Scientific Computing using Matlab |
Lecture 21 - Matlab Code for Gauss Elimination Method |
Link |
NOC:Scientific Computing using Matlab |
Lecture 22 - LU Decomposition Method for Solving Linear System of Equations |
Link |
NOC:Scientific Computing using Matlab |
Lecture 23 - LU Decomposition Method for Solving Linear System of Equations (Continued...) |
Link |
NOC:Scientific Computing using Matlab |
Lecture 24 - Iterative Method for Solving Linear System of Equations |
Link |
NOC:Scientific Computing using Matlab |
Lecture 25 - Iterative Method for Solving Linear System of Equations (Continued...) |
Link |
NOC:Scientific Computing using Matlab |
Lecture 26 - Matlab Code for Gauss Jacobi Method |
Link |
NOC:Scientific Computing using Matlab |
Lecture 27 - Matlab Code for Gauss Seidel Method |
Link |
NOC:Scientific Computing using Matlab |
Lecture 28 - Matlab Code for Gauss Seidel Method |
Link |
NOC:Scientific Computing using Matlab |
Lecture 29 - Power Method for Solving Eigenvalues of a Matrix |
Link |
NOC:Scientific Computing using Matlab |
Lecture 30 - Power Method for Solving Eigenvalues of a Matrix (Continued...) |
Link |
NOC:Scientific Computing using Matlab |
Lecture 31 - Gershgorin Circle Theorem for Estimating Eigenvalues of a Matrix |
Link |
NOC:Scientific Computing using Matlab |
Lecture 32 - Gershgorin Circle Theorem for Estimating Eigenvalues of a Matrix |
Link |
NOC:Scientific Computing using Matlab |
Lecture 33 - Matlab Code for Power Method/ Shifted Inverse Power Method |
Link |
NOC:Scientific Computing using Matlab |
Lecture 34 - Interpolation |
Link |
NOC:Scientific Computing using Matlab |
Lecture 35 - Interpolation (Continued...) |
Link |
NOC:Scientific Computing using Matlab |
Lecture 36 - Interpolation (Continued...) |
Link |
NOC:Scientific Computing using Matlab |
Lecture 37 - Interpolating Polynomial Using Newton's Forward Difference Formula |
Link |
NOC:Scientific Computing using Matlab |
Lecture 38 - Error Estimates in Polynomial Approximation |
Link |
NOC:Scientific Computing using Matlab |
Lecture 39 - Interpolating Polynomial Using Newton's Backward Difference Formula |
Link |
NOC:Scientific Computing using Matlab |
Lecture 40 - Stirling's Formula and Lagrange's Interpolating Polynomial |
Link |
NOC:Scientific Computing using Matlab |
Lecture 41 - In Continuation of Lagrange's Interpolating Formula |
Link |
NOC:Scientific Computing using Matlab |
Lecture 42 - Interpolating Polynomial Using Newton's Divided Difference Formula |
Link |
NOC:Scientific Computing using Matlab |
Lecture 43 - Examples Based on Lagrange's and Newton's Divided Difference Interpolation |
Link |
NOC:Scientific Computing using Matlab |
Lecture 44 - Spline Interpolation |
Link |
NOC:Scientific Computing using Matlab |
Lecture 45 - Cubic Spline |
Link |
NOC:Scientific Computing using Matlab |
Lecture 46 - Cubic Spline (Continued...) |
Link |
NOC:Scientific Computing using Matlab |
Lecture 47 - Curve Fitting |
Link |
NOC:Scientific Computing using Matlab |
Lecture 48 - Quadratic Polynomial Fitting and Code for Lagrange's Interpolating Polynomial using Octave |
Link |
NOC:Scientific Computing using Matlab |
Lecture 49 - Matlab Code for Newton's Divided Difference and Least Square Approximation |
Link |
NOC:Scientific Computing using Matlab |
Lecture 50 - Matlab Code for Cubic Spline |
Link |
NOC:Scientific Computing using Matlab |
Lecture 51 - Numerical Differentiation |
Link |
NOC:Scientific Computing using Matlab |
Lecture 52 - Various Numerical Differentiation Formulas |
Link |
NOC:Scientific Computing using Matlab |
Lecture 53 - Higher Order Accurate Numerical Differentiation Formula For First Order Derivative |
Link |
NOC:Scientific Computing using Matlab |
Lecture 54 - Higher Order Accurate Numerical Differentiation Formula For Second Order Derivative |
Link |
NOC:Scientific Computing using Matlab |
Lecture 55 - Numerical Integration |
Link |
NOC:Scientific Computing using Matlab |
Lecture 56 - Trapezoidal Rule for Numerical Integration |
Link |
NOC:Scientific Computing using Matlab |
Lecture 57 - Simpson's 1/3 rule for Numerical Integration |
Link |
NOC:Scientific Computing using Matlab |
Lecture 58 - Simpson's 3/8 Rule for Numerical Integration |
Link |
NOC:Scientific Computing using Matlab |
Lecture 59 - Method of Undetermined Coefficients |
Link |
NOC:Scientific Computing using Matlab |
Lecture 60 - Octave Code for Trapezoidal and Simpson's Rule |
Link |
NOC:Scientific Computing using Matlab |
Lecture 61 - Taylor Series Method for Ordinary Differential Equations |
Link |
NOC:Scientific Computing using Matlab |
Lecture 62 - Linear Multistep Method (LMM) for Ordinary Differential Equations |
Link |
NOC:Scientific Computing using Matlab |
Lecture 63 - Convergence and Zero Stability for LMM |
Link |
NOC:Scientific Computing using Matlab |
Lecture 64 - Matlab/Octave Code for Initial Value Problems |
Link |
NOC:Scientific Computing using Matlab |
Lecture 65 - Advantage of Implicit and Explicit Methods Over Each other via Matlab/Octave Codes for Initial value Problem |
Link |
NOC:Non-parametric Statistical Inference |
Lecture 1 |
Link |
NOC:Non-parametric Statistical Inference |
Lecture 2 |
Link |
NOC:Non-parametric Statistical Inference |
Lecture 3 |
Link |
NOC:Non-parametric Statistical Inference |
Lecture 4 |
Link |
NOC:Non-parametric Statistical Inference |
Lecture 5 |
Link |
NOC:Non-parametric Statistical Inference |
Lecture 6 |
Link |
NOC:Non-parametric Statistical Inference |
Lecture 7 |
Link |
NOC:Non-parametric Statistical Inference |
Lecture 8 |
Link |
NOC:Non-parametric Statistical Inference |
Lecture 9 |
Link |
NOC:Non-parametric Statistical Inference |
Lecture 10 |
Link |
NOC:Matrix Computation and its applications |
Lecture 1 - Binary Operation and Groups |
Link |
NOC:Matrix Computation and its applications |
Lecture 2 - Vector Spaces |
Link |
NOC:Matrix Computation and its applications |
Lecture 3 - Some Examples of Vector Spaces |
Link |
NOC:Matrix Computation and its applications |
Lecture 4 - Some Examples of Vector Spaces (Continued...) |
Link |
NOC:Matrix Computation and its applications |
Lecture 5 - Subspace of a Vector Space |
Link |
NOC:Matrix Computation and its applications |
Lecture 6 - Spanning Set |
Link |
NOC:Matrix Computation and its applications |
Lecture 7 - Properties of Subspaces |
Link |
NOC:Matrix Computation and its applications |
Lecture 8 - Properties of Subspaces (Continued...) |
Link |
NOC:Matrix Computation and its applications |
Lecture 9 - Linearly Independent and Dependent Vectors |
Link |
NOC:Matrix Computation and its applications |
Lecture 10 - Linearly Independent and Dependent Vectors (Continued...) |
Link |
NOC:Matrix Computation and its applications |
Lecture 11 - Properties of Linearly Independent and Dependent Vectors |
Link |
NOC:Matrix Computation and its applications |
Lecture 12 - Properties of Linearly Independent and Dependent Vectors (Continued...) |
Link |
NOC:Matrix Computation and its applications |
Lecture 13 - Basis and Dimension of a Vector Space |
Link |
NOC:Matrix Computation and its applications |
Lecture 14 - Example of Basis and Standard Basis of a Vector Space |
Link |
NOC:Matrix Computation and its applications |
Lecture 15 - Linear Functions |
Link |
NOC:Matrix Computation and its applications |
Lecture 16 - Range Space of a Matrix and Row Reduced Echelon Form |
Link |
NOC:Matrix Computation and its applications |
Lecture 17 - Row Equivalent Matrices |
Link |
NOC:Matrix Computation and its applications |
Lecture 18 - Row Equivalent Matrices (Continued...) |
Link |
NOC:Matrix Computation and its applications |
Lecture 19 - Null Space of a Matrix |
Link |
NOC:Matrix Computation and its applications |
Lecture 20 - Four Subspaces Associated with a Given Matrix |
Link |
NOC:Matrix Computation and its applications |
Lecture 21 - Four Subspaces Associated with a Given Matrix (Continued...) |
Link |
NOC:Matrix Computation and its applications |
Lecture 22 - Linear Independence of the rows and columns of a Matrix |
Link |
NOC:Matrix Computation and its applications |
Lecture 23 - Application of Diagonal Dominant Matrices |
Link |
NOC:Matrix Computation and its applications |
Lecture 24 - Application of Zero Null Space: Interpolating Polynomial and Wronskian Matrix |
Link |
NOC:Matrix Computation and its applications |
Lecture 25 - Characterization of basic of a Vector Space and its Subspaces |
Link |
NOC:Matrix Computation and its applications |
Lecture 26 - Coordinate of a Vector with respect to Ordered Basis |
Link |
NOC:Matrix Computation and its applications |
Lecture 27 - Examples of different subspaces of a vector space of polynomials having degree less than or equal to 3 |
Link |
NOC:Matrix Computation and its applications |
Lecture 28 - Linear Transformation |
Link |
NOC:Matrix Computation and its applications |
Lecture 29 - Properties of Linear Transformation |
Link |
NOC:Matrix Computation and its applications |
Lecture 30 - Determining Linear Transformation on a Vector Space by its value on the basis element |
Link |
NOC:Matrix Computation and its applications |
Lecture 31 - Range space and null space of a Linear Transformation |
Link |
NOC:Matrix Computation and its applications |
Lecture 32 - Rank and Nuility of a Linear Transformation |
Link |
NOC:Matrix Computation and its applications |
Lecture 33 - Rank Nuility Theorem |
Link |
NOC:Matrix Computation and its applications |
Lecture 34 - Application of Rank Nuility Theorem and Inverse of a Linear Transformation |
Link |
NOC:Matrix Computation and its applications |
Lecture 35 - Matrix Associated with Linear Transformation |
Link |
NOC:Matrix Computation and its applications |
Lecture 36 - Matrix Representation of a Linear Transformation Relative to Ordered Bases |
Link |
NOC:Matrix Computation and its applications |
Lecture 37 - Matrix Representation of a Linear Transformation Relative to Ordered Bases (Continued...) |
Link |
NOC:Matrix Computation and its applications |
Lecture 38 - Linear Map Associated with a Matrix |
Link |
NOC:Matrix Computation and its applications |
Lecture 39 - Similar Matrices and Diagonalisation of Matrix |
Link |
NOC:Matrix Computation and its applications |
Lecture 40 - Orthonormal bases of a Vector Space |
Link |
NOC:Matrix Computation and its applications |
Lecture 41 - Gram-Schmidt Orthogonalisation Process |
Link |
NOC:Matrix Computation and its applications |
Lecture 42 - QR Factorisation |
Link |
NOC:Matrix Computation and its applications |
Lecture 43 - Inner Product Spaces |
Link |
NOC:Matrix Computation and its applications |
Lecture 44 - Inner Product of different real vector spaces and basics of complex vector space |
Link |
NOC:Matrix Computation and its applications |
Lecture 45 - Inner Product on complex vector spaces and Cauchy-Schwarz inequality |
Link |
NOC:Matrix Computation and its applications |
Lecture 46 - Norm of a Vector |
Link |
NOC:Matrix Computation and its applications |
Lecture 47 - Matrix Norm |
Link |
NOC:Matrix Computation and its applications |
Lecture 48 - Sensitivity Analysis of a System of Linear Equations |
Link |
NOC:Matrix Computation and its applications |
Lecture 49 - Orthoganality of the four subspaces associated with a matrix |
Link |
NOC:Matrix Computation and its applications |
Lecture 50 - Best Approximation: Least Square Method |
Link |
NOC:Matrix Computation and its applications |
Lecture 51 - Best Approximation: Least Square Method (Continued...) |
Link |
NOC:Matrix Computation and its applications |
Lecture 52 - Jordan-Canonical Form |
Link |
NOC:Matrix Computation and its applications |
Lecture 53 - Some examples on the Jordan form of a given matrix and generalised eigon vectors |
Link |
NOC:Matrix Computation and its applications |
Lecture 54 - Singular value decomposition (SVD) theorem |
Link |
NOC:Matrix Computation and its applications |
Lecture 55 - Matlab/Octave code for Solving SVD |
Link |
NOC:Matrix Computation and its applications |
Lecture 56 - Pseudo-Inverse/Moore-Penrose Inverse |
Link |
NOC:Matrix Computation and its applications |
Lecture 57 - Householder Transformation |
Link |
NOC:Matrix Computation and its applications |
Lecture 58 - Matlab/Octave code for Householder Transformation |
Link |
Formal Languages and Automata Theory |
Lecture 1 - Introduction |
Link |
Formal Languages and Automata Theory |
Lecture 2 - Alphabet, Strings, Languages |
Link |
Formal Languages and Automata Theory |
Lecture 3 - Finite Representation |
Link |
Formal Languages and Automata Theory |
Lecture 4 - Grammars (CFG) |
Link |
Formal Languages and Automata Theory |
Lecture 5 - Derivation Trees |
Link |
Formal Languages and Automata Theory |
Lecture 6 - Regular Grammars |
Link |
Formal Languages and Automata Theory |
Lecture 7 - Finite Automata |
Link |
Formal Languages and Automata Theory |
Lecture 8 - Nondeterministic Finite Automata |
Link |
Formal Languages and Automata Theory |
Lecture 9 - NFA <=> DFA |
Link |
Formal Languages and Automata Theory |
Lecture 10 - Myhill-Nerode Theorem |
Link |
Formal Languages and Automata Theory |
Lecture 11 - Minimization |
Link |
Formal Languages and Automata Theory |
Lecture 12 - RE => FA |
Link |
Formal Languages and Automata Theory |
Lecture 13 - FA => RE |
Link |
Formal Languages and Automata Theory |
Lecture 14 - FA <=> RG |
Link |
Formal Languages and Automata Theory |
Lecture 15 - Variants of FA |
Link |
Formal Languages and Automata Theory |
Lecture 16 - Closure Properties of RL |
Link |
Formal Languages and Automata Theory |
Lecture 17 - Homomorphism |
Link |
Formal Languages and Automata Theory |
Lecture 18 - Pumping Lemma |
Link |
Formal Languages and Automata Theory |
Lecture 19 - Simplification of CFG |
Link |
Formal Languages and Automata Theory |
Lecture 20 - Normal Forms of CFG |
Link |
Formal Languages and Automata Theory |
Lecture 21 - Properties of CFLs |
Link |
Formal Languages and Automata Theory |
Lecture 22 - Pushdown Automata |
Link |
Formal Languages and Automata Theory |
Lecture 23 - PDA <=> CFG |
Link |
Formal Languages and Automata Theory |
Lecture 24 - Turing Machines |
Link |
Formal Languages and Automata Theory |
Lecture 25 - Turing Computable Functions |
Link |
Formal Languages and Automata Theory |
Lecture 26 - Combining Turing Machines |
Link |
Formal Languages and Automata Theory |
Lecture 27 - Multi Input |
Link |
Formal Languages and Automata Theory |
Lecture 28 - Turing Decidable Languages |
Link |
Formal Languages and Automata Theory |
Lecture 29 - Varients of Turing Machines |
Link |
Formal Languages and Automata Theory |
Lecture 30 - Structured Grammars |
Link |
Formal Languages and Automata Theory |
Lecture 31 - Decidability |
Link |
Formal Languages and Automata Theory |
Lecture 32 - Undecidability 1 |
Link |
Formal Languages and Automata Theory |
Lecture 33 - Undecidability 2 |
Link |
Formal Languages and Automata Theory |
Lecture 34 - Undecidability 3 |
Link |
Formal Languages and Automata Theory |
Lecture 35 - Time Bounded Turing Machines |
Link |
Formal Languages and Automata Theory |
Lecture 36 - P and NP |
Link |
Formal Languages and Automata Theory |
Lecture 37 - NP-Completeness |
Link |
Formal Languages and Automata Theory |
Lecture 38 - NP-Complete Problems 1 |
Link |
Formal Languages and Automata Theory |
Lecture 39 - NP-Complete Problems 2 |
Link |
Formal Languages and Automata Theory |
Lecture 40 - NP-Complete Problems 3 |
Link |
Formal Languages and Automata Theory |
Lecture 41 - Chomsky Hierarchy |
Link |
Complex Analysis |
Lecture 1 - Introduction |
Link |
Complex Analysis |
Lecture 2 - Introduction to Complex Numbers |
Link |
Complex Analysis |
Lecture 3 - de Moivre’s Formula and Stereographic Projection |
Link |
Complex Analysis |
Lecture 4 - Topology of the Complex Plane - Part-I |
Link |
Complex Analysis |
Lecture 5 - Topology of the Complex Plane - Part-II |
Link |
Complex Analysis |
Lecture 6 - Topology of the Complex Plane - Part-III |
Link |
Complex Analysis |
Lecture 7 - Introduction to Complex Functions |
Link |
Complex Analysis |
Lecture 8 - Limits and Continuity |
Link |
Complex Analysis |
Lecture 9 - Differentiation |
Link |
Complex Analysis |
Lecture 10 - Cauchy-Riemann Equations and Differentiability |
Link |
Complex Analysis |
Lecture 11 - Analytic functions; the exponential function |
Link |
Complex Analysis |
Lecture 12 - Sine, Cosine and Harmonic functions |
Link |
Complex Analysis |
Lecture 13 - Branches of Multifunctions; Hyperbolic Functions |
Link |
Complex Analysis |
Lecture 14 - Problem Solving Session I |
Link |
Complex Analysis |
Lecture 15 - Integration and Contours |
Link |
Complex Analysis |
Lecture 16 - Contour Integration |
Link |
Complex Analysis |
Lecture 17 - Introduction to Cauchy’s Theorem |
Link |
Complex Analysis |
Lecture 18 - Cauchy’s Theorem for a Rectangle |
Link |
Complex Analysis |
Lecture 19 - Cauchy’s theorem - Part-II |
Link |
Complex Analysis |
Lecture 20 - Cauchy’s Theorem - Part-III |
Link |
Complex Analysis |
Lecture 21 - Cauchy’s Integral Formula and its Consequences |
Link |
Complex Analysis |
Lecture 22 - The First and Second Derivatives of Analytic Functions |
Link |
Complex Analysis |
Lecture 23 - Morera’s Theorem and Higher Order Derivatives of Analytic Functions |
Link |
Complex Analysis |
Lecture 24 - Problem Solving Session II |
Link |
Complex Analysis |
Lecture 25 - Introduction to Complex Power Series |
Link |
Complex Analysis |
Lecture 26 - Analyticity of Power Series |
Link |
Complex Analysis |
Lecture 27 - Taylor’s Theorem |
Link |
Complex Analysis |
Lecture 28 - Zeroes of Analytic Functions |
Link |
Complex Analysis |
Lecture 29 - Counting the Zeroes of Analytic Functions |
Link |
Complex Analysis |
Lecture 30 - Open mapping theorem - Part-I |
Link |
Complex Analysis |
Lecture 31 - Open mapping theorem - Part-II |
Link |
Complex Analysis |
Lecture 32 - Properties of Mobius Transformations - Part-I |
Link |
Complex Analysis |
Lecture 33 - Properties of Mobius Transformations - Part-II |
Link |
Complex Analysis |
Lecture 34 - Problem Solving Session III |
Link |
Complex Analysis |
Lecture 35 - Removable Singularities |
Link |
Complex Analysis |
Lecture 36 - Poles Classification of Isolated Singularities |
Link |
Complex Analysis |
Lecture 37 - Essential Singularity & Introduction to Laurent Series |
Link |
Complex Analysis |
Lecture 38 - Laurent’s Theorem |
Link |
Complex Analysis |
Lecture 39 - Residue Theorem and Applications |
Link |
Complex Analysis |
Lecture 40 - Problem Solving Session IV |
Link |
NOC:Mathematical Finance |
Lecture 1 - Introduction to Financial Markets and Bonds |
Link |
NOC:Mathematical Finance |
Lecture 2 - Introduction to Stocks, Futures and Forwards and Swaps |
Link |
NOC:Mathematical Finance |
Lecture 3 - Introduction to Options |
Link |
NOC:Mathematical Finance |
Lecture 4 - Interest Rates and Present Value |
Link |
NOC:Mathematical Finance |
Lecture 5 - Present and Future Values, Annuities, Amortization and Bond Yield |
Link |
NOC:Mathematical Finance |
Lecture 6 - Price Yield Curve and Term Structure of Interest Rates |
Link |
NOC:Mathematical Finance |
Lecture 7 - Markowitz Theory, Return and Risk and Two Asset Portfolio |
Link |
NOC:Mathematical Finance |
Lecture 8 - Minimum Variance Portfolio and Feasible Set |
Link |
NOC:Mathematical Finance |
Lecture 9 - Multi Asset Portfolio, Minimum Variance Portfolio, Efficient Frontier and Minimum Variance Line |
Link |
NOC:Mathematical Finance |
Lecture 10 - Minimum Variance Line (Continued), Market Portfolio |
Link |
NOC:Mathematical Finance |
Lecture 11 - Capital Market Line, Capital Asset Pricing Model |
Link |
NOC:Mathematical Finance |
Lecture 12 - Performance Analysis |
Link |
NOC:Mathematical Finance |
Lecture 13 - No-Arbitrage Principle and Pricing of Forward Contracts |
Link |
NOC:Mathematical Finance |
Lecture 14 - Futures, Options and Put-Call-Parity |
Link |
NOC:Mathematical Finance |
Lecture 15 - Bounds on Options |
Link |
NOC:Mathematical Finance |
Lecture 16 - Derivative Pricing in a Single Period Binomial Model |
Link |
NOC:Mathematical Finance |
Lecture 17 - Derivative Pricing in Multiperiod Binomial Model |
Link |
NOC:Mathematical Finance |
Lecture 18 - Derivative Pricing in Binomial Model and Path Dependent Options |
Link |
NOC:Mathematical Finance |
Lecture 19 - Discrete Probability Spaces |
Link |
NOC:Mathematical Finance |
Lecture 20 - Filtrations and Conditional Expectations |
Link |
NOC:Mathematical Finance |
Lecture 21 - Properties of Conditional Expectations |
Link |
NOC:Mathematical Finance |
Lecture 22 - Examples of Conditional Expectations, Martingales |
Link |
NOC:Mathematical Finance |
Lecture 23 - Risk-Neutral Pricing of European Derivatives in Binomial Model |
Link |
NOC:Mathematical Finance |
Lecture 24 - Actual and Risk-Neutral Probabilities, Markov Process, American Options |
Link |
NOC:Mathematical Finance |
Lecture 25 - General Probability Spaces, Expectations, Change of Measure |
Link |
NOC:Mathematical Finance |
Lecture 26 - Filtrations, Independence, Conditional Expectations |
Link |
NOC:Mathematical Finance |
Lecture 27 - Brownian Motion and its Properties |
Link |
NOC:Mathematical Finance |
Lecture 28 - Itô Integral and its Properties |
Link |
NOC:Mathematical Finance |
Lecture 29 - Itô Formula, Itô Processes |
Link |
NOC:Mathematical Finance |
Lecture 30 - Multivariable Stochastic Calculus, Stochastic Differential Equations |
Link |
NOC:Mathematical Finance |
Lecture 31 - Black-Scholes-Merton (BSM) Model, BSM Equation, BSM Formula |
Link |
NOC:Mathematical Finance |
Lecture 32 - Greeks, Put-Call Parity, Change of Measure |
Link |
NOC:Mathematical Finance |
Lecture 33 - Girsanov Theorem, Risk-Neutral Pricing of Derivatives, BSM Formula |
Link |
NOC:Mathematical Finance |
Lecture 34 - MRT and Hedging, Multidimensional Girsanov and MRT |
Link |
NOC:Mathematical Finance |
Lecture 35 - Multidimensional BSM Model, Fundamental Theorems of Asset Pricing |
Link |
NOC:Mathematical Finance |
Lecture 36 - BSM Model with Dividend-Paying Stocks |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 1 - Probability space and their properties, Random variables |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 2 - Mean, variance, covariance and their properties |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 3 - Linear regression; Binomial and normal distribution; Central Limit Theorem |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 4 - Financial markets |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 5 - Bonds and stocks |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 6 - Binomial and geometric Brownian motion (gBm) asset pricing models |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 7 - Expected return, risk and covariance of returns |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 8 - Expected return and risk of a portfolio; Minimum variance portfolio |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 9 - Multi-asset portfolio and Efficient frontier |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 10 - Capital Market Line and Derivation of efficient frontier |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 11 - Capital Asset Pricing Model and Single index model |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 12 - Portfolio performance analysis |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 13 - Utility functions and expected utility |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 14 - Risk preferences of investors |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 15 - Absolute Risk Aversion and Relative Risk Aversion |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 16 - Portfolio theory with utility functions |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 17 - Geometric Mean Return and Roy's Safety-First Criterion |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 18 - Kataoka's Safety-First Criterion and Telser's Safety-First Criterion |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 19 - Semi-variance framework |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 20 - Stochastic dominance; First order stochastic dominance |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 21 - Second order stochastic dominance and Third order stochastic dominance |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 22 - Discrete time model and utility function |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 23 - Optimal portfolio for single-period discrete time model |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 24 - Optimal portfolio for multi-period discrete time model; Discrete Dynamic Programming |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 25 - Continuous time model; Hamilton-Jacobi-Bellman PDE |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 26 - Hamilton-Jacobi-Bellman PDE; Duality/Martingale Approach |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 27 - Duality/Martingale Approach in Discrete and Continuous Time |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 28 - Interest rates and bonds; Duration |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 29 - Duration; Immunization |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 30 - Convexity; Hedging and Immunization |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 31 - Quantiles and their properties |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 32 - Value-at-Risk and its properties |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 33 - Average Value-at-Risk and its properties |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 34 - Asset allocation |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 35 - Portfolio optimization |
Link |
NOC:Mathematical Portfolio Theory |
Lecture 36 - Portfolio optimization with constraints, Value-at-Risk: Estimation and backtesting |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 1 - Review of Basic Probability - I |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 2 - Review of Basic Probability - II |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 3 - Review of Basic Probability - III |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 4 - Stochastic Processes |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 5 - Definition of Markov Chain and Transition Probabilities |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 6 - Markov Property and Chapman-Kolmogorov Equations |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 7 - Chapman-Kolmogorov Equations: Examples |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 8 - Accessibility and Communication of States |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 9 - Hitting Time - I |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 10 - Hitting Time - II |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 11 - Hitting Time - III |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 12 - Strong Markov Property |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 13 - Passage Time and Excursion |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 14 - Number of Visits |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 15 - Class Property |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 16 - Transience and Recurrence of Random Walks |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 17 - Stationary Distribution - I |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 18 - Stationary Distribution - II |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 19 - Stationary Distribution - III |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 20 - Limit Theorems - I |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 21 - Limit Theorems - II |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 22 - Some Problems - I |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 23 - Some Problems - II |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 24 - Time Reversibility |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 25 - Properties of Exponential Distribution |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 26 - Some Problems |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 27 - Order Statistics |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 28 - Poisson Processes |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 29 - Poisson Thinning - I |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 30 - Poisson Thinning - II |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 31 - Conditional Arrival Times |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 32 - Independent Poisson Processes |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 33 - Some Problems |
Link |
NOC:Discrete-time Markov Chains and Poission Processes |
Lecture 34 - Compound Poisson Processes |
Link |
NOC:Introduction to Queueing Theory |
Lecture 0 - Prerequisite: Review of Probability |
Link |
NOC:Introduction to Queueing Theory |
Lecture 1 - Queueing Systems, System Performance Measures |
Link |
NOC:Introduction to Queueing Theory |
Lecture 2 - Characteristics of Queueing Systems, Kendall's Notation |
Link |
NOC:Introduction to Queueing Theory |
Lecture 3 - Little's Law, General Relationships |
Link |
NOC:Introduction to Queueing Theory |
Lecture 4 - Laplace and Laplace-Stieltjes Transforms, Probability Generating Functions |
Link |
NOC:Introduction to Queueing Theory |
Lecture 5 - An Overview of Stochastic Processes |
Link |
NOC:Introduction to Queueing Theory |
Lecture 6 - Markov Chains: Definition, Transition Probabilities |
Link |
NOC:Introduction to Queueing Theory |
Lecture 7 - Classification Properties of Markov Chains |
Link |
NOC:Introduction to Queueing Theory |
Lecture 8 - Long-Term Behaviour of Markov Chains |
Link |
NOC:Introduction to Queueing Theory |
Lecture 9 - Exponential Distribution and its Properties, Poisson Process |
Link |
NOC:Introduction to Queueing Theory |
Lecture 10 - Poisson Process and its Properties, Generalizations |
Link |
NOC:Introduction to Queueing Theory |
Lecture 11 - Continuous-Time Markov Chains, Generator Matrix, Kolmogorov Equations |
Link |
NOC:Introduction to Queueing Theory |
Lecture 12 - Stationary and Limiting Distributions of CTMC, Balance Equations, Birth-Death Processes |
Link |
NOC:Introduction to Queueing Theory |
Lecture 13 - Birth-Death Queues: General Theory, M/M/1 Queues and their Steady State Solution |
Link |
NOC:Introduction to Queueing Theory |
Lecture 14 - M/M/1 Queues: Performance Measures, PASTA Property, Waiting Time Distributions |
Link |
NOC:Introduction to Queueing Theory |
Lecture 15 - M/M/c Queues, Erlang Delay Formula |
Link |
NOC:Introduction to Queueing Theory |
Lecture 16 - M/M/c/K Queues |
Link |
NOC:Introduction to Queueing Theory |
Lecture 17 - Erlang's Loss System, Erlang Loss Formula, Infinite-Server Queues |
Link |
NOC:Introduction to Queueing Theory |
Lecture 18 - Finite-Source Queues, Engset Loss System, State-Dependent Queues, Queues with Impatience |
Link |
NOC:Introduction to Queueing Theory |
Lecture 19 - Transient Solutions: M/M/1/1, Infinite-Server and M/M/1 Queues, Busy Period Analysis |
Link |
NOC:Introduction to Queueing Theory |
Lecture 20 - Queues with Bulk Arrivals |
Link |
NOC:Introduction to Queueing Theory |
Lecture 21 - Queues with Bulk Service |
Link |
NOC:Introduction to Queueing Theory |
Lecture 22 - Erlang and Phase-Type Distributions |
Link |
NOC:Introduction to Queueing Theory |
Lecture 23 - Erlangian Queues: Erlangian Arrivals, Erlangian Service Times |
Link |
NOC:Introduction to Queueing Theory |
Lecture 24 - Nonpreemptive Priority Queues |
Link |
NOC:Introduction to Queueing Theory |
Lecture 25 - Nonpreemptive and Preemptive Priority Queues |
Link |
NOC:Introduction to Queueing Theory |
Lecture 26 - M/M/1 Retrial Queues |
Link |
NOC:Introduction to Queueing Theory |
Lecture 27 - Discrete-Time Queues: Geo/Geo/1 (EAS), Geo/Geo/1 (LAS) |
Link |
NOC:Introduction to Queueing Theory |
Lecture 28 - Introduction to Queueing Networks, Two-Node Network |
Link |
NOC:Introduction to Queueing Theory |
Lecture 29 - Burke's Theorem, General Setup, Tandem Networks |
Link |
NOC:Introduction to Queueing Theory |
Lecture 30 - Queueing Networks with Blocking, Open Jackson Networks |
Link |
NOC:Introduction to Queueing Theory |
Lecture 31 - Waiting Times and Multiple Classes in Open Jackson Networks |
Link |
NOC:Introduction to Queueing Theory |
Lecture 32 - Closed Jackson Networks |
Link |
NOC:Introduction to Queueing Theory |
Lecture 33 - Closed Jackson Networks, Convolution Algorithm |
Link |
NOC:Introduction to Queueing Theory |
Lecture 34 - Mean-Value Analysis Algorithm |
Link |
NOC:Introduction to Queueing Theory |
Lecture 35 - Cyclic Queueing Networks, Extensions of Jackson Networks |
Link |
NOC:Introduction to Queueing Theory |
Lecture 36 - Renewal Processes |
Link |
NOC:Introduction to Queueing Theory |
Lecture 37 - Regenerative Processes, Semi-Markov Processes |
Link |
NOC:Introduction to Queueing Theory |
Lecture 38 - M/G/1 Queues, The Pollaczek-Khinchin Mean Formula |
Link |
NOC:Introduction to Queueing Theory |
Lecture 39 - M/G/1 Queues, The Pollaczek-Khinchin Transform Formula |
Link |
NOC:Introduction to Queueing Theory |
Lecture 40 - M/G/1 Queues: Waiting Times and Busy Period |
Link |
NOC:Introduction to Queueing Theory |
Lecture 41 - M/G/1/K Queues, Additional Insights on M/G/1 Queues |
Link |
NOC:Introduction to Queueing Theory |
Lecture 42 - M/G/c, M/G/∞ and M/G/c/c Queues |
Link |
NOC:Introduction to Queueing Theory |
Lecture 43 - G/M/1 Queues |
Link |
NOC:Introduction to Queueing Theory |
Lecture 44 - G/G/1 Queues: Lindley's Integral Equation |
Link |
NOC:Introduction to Queueing Theory |
Lecture 45 - G/G/1 Queues: Bounds |
Link |
NOC:Introduction to Queueing Theory |
Lecture 46 - Vacation Queues: Introduction, M/M/1 Queues with Vacations |
Link |
NOC:Introduction to Queueing Theory |
Lecture 47 - M/G/1 Queues with Vacations |
Link |
Applied Multivariate Analysis |
Lecture 1 - Prologue |
Link |
Applied Multivariate Analysis |
Lecture 2 - Basic concepts on multivariate distribution |
Link |
Applied Multivariate Analysis |
Lecture 3 - Basic concepts on multivariate distribution |
Link |
Applied Multivariate Analysis |
Lecture 4 - Multivariate normal distribution – I |
Link |
Applied Multivariate Analysis |
Lecture 5 - Multivariate normal distribution – II |
Link |
Applied Multivariate Analysis |
Lecture 6 - Multivariate normal distribution – III |
Link |
Applied Multivariate Analysis |
Lecture 7 - Some problems on multivariate distributions – I |
Link |
Applied Multivariate Analysis |
Lecture 8 - Some problems on multivariate distributions – II |
Link |
Applied Multivariate Analysis |
Lecture 9 - Random sampling from multivariate normal distribution and Wishart distribution - I |
Link |
Applied Multivariate Analysis |
Lecture 10 - Random sampling from multivariate normal distribution and Wishart distribution - II |
Link |
Applied Multivariate Analysis |
Lecture 11 - Random sampling from multivariate normal distribution and Wishart distribution - III |
Link |
Applied Multivariate Analysis |
Lecture 12 - Wishart distribution and it’s properties - I |
Link |
Applied Multivariate Analysis |
Lecture 13 - Wishart distribution and it’s properties - II |
Link |
Applied Multivariate Analysis |
Lecture 14 - Hotelling’s T2 distribution and it’s applications |
Link |
Applied Multivariate Analysis |
Lecture 15 - Hotelling’s T2 distribution and various confidence intervals and regions |
Link |
Applied Multivariate Analysis |
Lecture 16 - Hotelling’s T2 distribution and Profile analysis |
Link |
Applied Multivariate Analysis |
Lecture 17 - Profile analysis - I |
Link |
Applied Multivariate Analysis |
Lecture 18 - Profile analysis - II |
Link |
Applied Multivariate Analysis |
Lecture 19 - MANOVA - I |
Link |
Applied Multivariate Analysis |
Lecture 20 - MANOVA - II |
Link |
Applied Multivariate Analysis |
Lecture 21 - MANOVA - III |
Link |
Applied Multivariate Analysis |
Lecture 22 - MANOVA & Multiple Correlation Coefficient |
Link |
Applied Multivariate Analysis |
Lecture 23 - Multiple Correlation Coefficient |
Link |
Applied Multivariate Analysis |
Lecture 24 - Principal Component Analysis |
Link |
Applied Multivariate Analysis |
Lecture 25 - Principal Component Analysis |
Link |
Applied Multivariate Analysis |
Lecture 26 - Principal Component Analysis |
Link |
Applied Multivariate Analysis |
Lecture 27 - Cluster Analysis |
Link |
Applied Multivariate Analysis |
Lecture 28 - Cluster Analysis |
Link |
Applied Multivariate Analysis |
Lecture 29 - Cluster Analysis |
Link |
Applied Multivariate Analysis |
Lecture 30 - Cluster Analysis |
Link |
Applied Multivariate Analysis |
Lecture 31 - Discriminant Analysis and Classification |
Link |
Applied Multivariate Analysis |
Lecture 32 - Discriminant Analysis and Classification |
Link |
Applied Multivariate Analysis |
Lecture 33 - Discriminant Analysis and Classification |
Link |
Applied Multivariate Analysis |
Lecture 34 - Discriminant Analysis and Classification |
Link |
Applied Multivariate Analysis |
Lecture 35 - Discriminant Analysis and Classification |
Link |
Applied Multivariate Analysis |
Lecture 36 - Discriminant Analysis and Classification |
Link |
Applied Multivariate Analysis |
Lecture 37 - Discriminant Analysis and Classification |
Link |
Applied Multivariate Analysis |
Lecture 38 - Factor_Analysis |
Link |
Applied Multivariate Analysis |
Lecture 39 - Factor_Analysis |
Link |
Applied Multivariate Analysis |
Lecture 40 - Factor_Analysis |
Link |
Applied Multivariate Analysis |
Lecture 41 - Cannonical Correlation Analysis |
Link |
Applied Multivariate Analysis |
Lecture 42 - Cannonical Correlation Analysis |
Link |
Applied Multivariate Analysis |
Lecture 43 - Cannonical Correlation Analysis |
Link |
Applied Multivariate Analysis |
Lecture 44 - Cannonical Correlation Analysis |
Link |
Calculus of Variations and Integral Equations |
Lecture 1 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 2 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 3 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 4 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 5 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 6 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 7 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 8 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 9 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 10 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 11 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 12 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 13 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 14 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 15 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 16 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 17 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 18 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 19 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 20 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 21 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 22 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 23 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 24 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 25 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 26 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 27 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 28 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 29 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 30 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 31 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 32 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 33 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 34 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 35 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 36 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 37 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 38 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 39 - Calculus of Variations and Integral Equations |
Link |
Calculus of Variations and Integral Equations |
Lecture 40 - Calculus of Variations and Integral Equations |
Link |
Linear programming and Extensions |
Lecture 1 - Introduction to Linear Programming Problems |
Link |
Linear programming and Extensions |
Lecture 2 - Vector space, Linear independence and dependence, basis |
Link |
Linear programming and Extensions |
Lecture 3 - Moving from one basic feasible solution to another, optimality criteria |
Link |
Linear programming and Extensions |
Lecture 4 - Basic feasible solutions, existence & derivation |
Link |
Linear programming and Extensions |
Lecture 5 - Convex sets, dimension of a polyhedron, Faces, Example of a polytope |
Link |
Linear programming and Extensions |
Lecture 6 - Direction of a polyhedron, correspondence between bfs and extreme points |
Link |
Linear programming and Extensions |
Lecture 7 - Representation theorem, LPP solution is a bfs, Assignment 1 |
Link |
Linear programming and Extensions |
Lecture 8 - Development of the Simplex Algorithm, Unboundedness, Simplex Tableau |
Link |
Linear programming and Extensions |
Lecture 9 - Simplex Tableau & algorithm ,Cycling, Bland’s anti-cycling rules, Phase I & Phase II |
Link |
Linear programming and Extensions |
Lecture 10 - Big-M method,Graphical solutions, adjacent extreme pts and adjacent bfs |
Link |
Linear programming and Extensions |
Lecture 11 - Assignment 2, progress of Simplex algorithm on a polytope, bounded variable LPP |
Link |
Linear programming and Extensions |
Lecture 12 - LPP Bounded variable, Revised Simplex algorithm, Duality theory, weak duality theorem |
Link |
Linear programming and Extensions |
Lecture 13 - Weak duality theorem, economic interpretation of dual variables, Fundamental theorem of duality |
Link |
Linear programming and Extensions |
Lecture 14 - Examples of writing the dual, complementary slackness theorem |
Link |
Linear programming and Extensions |
Lecture 15 - Complementary slackness conditions, Dual Simplex algorithm, Assignment 3 |
Link |
Linear programming and Extensions |
Lecture 16 - Primal-dual algorithm |
Link |
Linear programming and Extensions |
Lecture 17 - Problem in lecture 16, starting dual feasible solution, Shortest Path Problem |
Link |
Linear programming and Extensions |
Lecture 18 - Shortest Path Problem, Primal-dual method, example |
Link |
Linear programming and Extensions |
Lecture 19 - Shortest Path Problem-complexity, interpretation of dual variables, post-optimality analysis-changes in the cost vector |
Link |
Linear programming and Extensions |
Lecture 20 - Assignment 4, postoptimality analysis, changes in b, adding a new constraint, changes in {aij} , Parametric analysis |
Link |
Linear programming and Extensions |
Lecture 21 - Parametric LPP-Right hand side vector |
Link |
Linear programming and Extensions |
Lecture 22 - Parametric cost vector LPP |
Link |
Linear programming and Extensions |
Lecture 23 - Parametric cost vector LPP, Introduction to Min-cost flow problem |
Link |
Linear programming and Extensions |
Lecture 24 - Mini-cost flow problem-Transportation problem |
Link |
Linear programming and Extensions |
Lecture 25 - Transportation problem degeneracy, cycling |
Link |
Linear programming and Extensions |
Lecture 26 - Sensitivity analysis |
Link |
Linear programming and Extensions |
Lecture 27 - Sensitivity analysis |
Link |
Linear programming and Extensions |
Lecture 28 - Bounded variable transportation problem, min-cost flow problem |
Link |
Linear programming and Extensions |
Lecture 29 - Min-cost flow problem |
Link |
Linear programming and Extensions |
Lecture 30 - Starting feasible solution, Lexicographic method for preventing cycling ,strongly feasible solution |
Link |
Linear programming and Extensions |
Lecture 31 - Assignment 6, Shortest path problem, Shortest Path between any two nodes,Detection of negative cycles |
Link |
Linear programming and Extensions |
Lecture 32 - Min-cost-flow Sensitivity analysis Shortest path problem sensitivity analysis |
Link |
Linear programming and Extensions |
Lecture 33 - Min-cost flow changes in arc capacities , Max-flow problem, assignment 7 |
Link |
Linear programming and Extensions |
Lecture 34 - Problem 3 (assignment 7), Min-cut Max-flow theorem, Labelling algorithm |
Link |
Linear programming and Extensions |
Lecture 35 - Max-flow - Critical capacity of an arc, starting solution for min-cost flow problem |
Link |
Linear programming and Extensions |
Lecture 36 - Improved Max-flow algorithm |
Link |
Linear programming and Extensions |
Lecture 37 - Critical Path Method (CPM) |
Link |
Linear programming and Extensions |
Lecture 38 - Programme Evaluation and Review Technique (PERT) |
Link |
Linear programming and Extensions |
Lecture 39 - Simplex Algorithm is not polynomial time- An example |
Link |
Linear programming and Extensions |
Lecture 40 - Interior Point Methods |
Link |
Convex Optimization |
Lecture 1 - Convex Optimization |
Link |
Convex Optimization |
Lecture 2 - Convex Optimization |
Link |
Convex Optimization |
Lecture 3 - Convex Optimization |
Link |
Convex Optimization |
Lecture 4 - Convex Optimization |
Link |
Convex Optimization |
Lecture 5 - Convex Optimization |
Link |
Convex Optimization |
Lecture 6 - Convex Optimization |
Link |
Convex Optimization |
Lecture 7 - Convex Optimization |
Link |
Convex Optimization |
Lecture 8 - Convex Optimization |
Link |
Convex Optimization |
Lecture 9 - Convex Optimization |
Link |
Convex Optimization |
Lecture 10 - Convex Optimization |
Link |
Convex Optimization |
Lecture 11 - Convex Optimization |
Link |
Convex Optimization |
Lecture 12 - Convex Optimization |
Link |
Convex Optimization |
Lecture 13 - Convex Optimization |
Link |
Convex Optimization |
Lecture 14 - Convex Optimization |
Link |
Convex Optimization |
Lecture 15 - Convex Optimization |
Link |
Convex Optimization |
Lecture 16 - Convex Optimization |
Link |
Convex Optimization |
Lecture 17 - Convex Optimization |
Link |
Convex Optimization |
Lecture 18 - Convex Optimization |
Link |
Convex Optimization |
Lecture 19 - Convex Optimization |
Link |
Convex Optimization |
Lecture 20 - Convex Optimization |
Link |
Convex Optimization |
Lecture 21 - Convex Optimization |
Link |
Convex Optimization |
Lecture 22 - Convex Optimization |
Link |
Convex Optimization |
Lecture 23 - Convex Optimization |
Link |
Convex Optimization |
Lecture 24 - Convex Optimization |
Link |
Convex Optimization |
Lecture 25 - Convex Optimization |
Link |
Convex Optimization |
Lecture 26 - Convex Optimization |
Link |
Convex Optimization |
Lecture 27 - Convex Optimization |
Link |
Convex Optimization |
Lecture 28 - Convex Optimization |
Link |
Convex Optimization |
Lecture 29 - Convex Optimization |
Link |
Convex Optimization |
Lecture 30 - Convex Optimization |
Link |
Convex Optimization |
Lecture 31 - Convex Optimization |
Link |
Convex Optimization |
Lecture 32 - Convex Optimization |
Link |
Convex Optimization |
Lecture 33 - Convex Optimization |
Link |
Convex Optimization |
Lecture 34 - Convex Optimization |
Link |
Convex Optimization |
Lecture 35 - Convex Optimization |
Link |
Convex Optimization |
Lecture 36 - Convex Optimization |
Link |
Convex Optimization |
Lecture 37 - Convex Optimization |
Link |
Convex Optimization |
Lecture 38 - Convex Optimization |
Link |
Convex Optimization |
Lecture 39 - Convex Optimization |
Link |
Convex Optimization |
Lecture 40 - Convex Optimization |
Link |
Convex Optimization |
Lecture 41 - Convex Optimization |
Link |
Convex Optimization |
Lecture 42 - Convex Optimization |
Link |
Foundations of Optimization |
Lecture 1 - Optimization |
Link |
Foundations of Optimization |
Lecture 2 - Optimization |
Link |
Foundations of Optimization |
Lecture 3 - Optimization |
Link |
Foundations of Optimization |
Lecture 4 - Optimization |
Link |
Foundations of Optimization |
Lecture 5 - Optimization |
Link |
Foundations of Optimization |
Lecture 6 - Optimization |
Link |
Foundations of Optimization |
Lecture 7 - Optimization |
Link |
Foundations of Optimization |
Lecture 8 - Optimization |
Link |
Foundations of Optimization |
Lecture 9 - Optimization |
Link |
Foundations of Optimization |
Lecture 10 - Optimization |
Link |
Foundations of Optimization |
Lecture 11 - Optimization |
Link |
Foundations of Optimization |
Lecture 12 - Optimization |
Link |
Foundations of Optimization |
Lecture 13 - Optimization |
Link |
Foundations of Optimization |
Lecture 14 - Optimization |
Link |
Foundations of Optimization |
Lecture 15 - Optimization |
Link |
Foundations of Optimization |
Lecture 16 - Optimization |
Link |
Foundations of Optimization |
Lecture 17 - Optimization |
Link |
Foundations of Optimization |
Lecture 18 - Optimization |
Link |
Foundations of Optimization |
Lecture 19 - Optimization |
Link |
Foundations of Optimization |
Lecture 20 - Optimization |
Link |
Foundations of Optimization |
Lecture 21 - Optimization |
Link |
Foundations of Optimization |
Lecture 22 - Optimization |
Link |
Foundations of Optimization |
Lecture 23 - Optimization |
Link |
Foundations of Optimization |
Lecture 24 - Optimization |
Link |
Foundations of Optimization |
Lecture 25 - Optimization |
Link |
Foundations of Optimization |
Lecture 26 - Optimization |
Link |
Foundations of Optimization |
Lecture 27 - Optimization |
Link |
Foundations of Optimization |
Lecture 28 - Optimization |
Link |
Foundations of Optimization |
Lecture 29 - Optimization |
Link |
Foundations of Optimization |
Lecture 30 - Optimization |
Link |
Foundations of Optimization |
Lecture 31 - Optimization |
Link |
Foundations of Optimization |
Lecture 32 - Optimization |
Link |
Foundations of Optimization |
Lecture 33 - Optimization |
Link |
Foundations of Optimization |
Lecture 34 - Optimization |
Link |
Foundations of Optimization |
Lecture 35 - Optimization |
Link |
Foundations of Optimization |
Lecture 36 - Optimization |
Link |
Foundations of Optimization |
Lecture 37 - Optimization |
Link |
Foundations of Optimization |
Lecture 38 - Optimization |
Link |
Probability Theory and Applications |
Lecture 1 - Basic principles of counting |
Link |
Probability Theory and Applications |
Lecture 2 - Sample space, events, axioms of probability |
Link |
Probability Theory and Applications |
Lecture 3 - Conditional probability, Independence of events |
Link |
Probability Theory and Applications |
Lecture 4 - Random variables, cumulative density function, expected value |
Link |
Probability Theory and Applications |
Lecture 5 - Discrete random variables and their distributions |
Link |
Probability Theory and Applications |
Lecture 6 - Discrete random variables and their distributions |
Link |
Probability Theory and Applications |
Lecture 7 - Discrete random variables and their distributions |
Link |
Probability Theory and Applications |
Lecture 8 - Continuous random variables and their distributions |
Link |
Probability Theory and Applications |
Lecture 9 - Continuous random variables and their distributions |
Link |
Probability Theory and Applications |
Lecture 10 - Continuous random variables and their distributions |
Link |
Probability Theory and Applications |
Lecture 11 - Function of random variables, Momement generating function |
Link |
Probability Theory and Applications |
Lecture 12 - Jointly distributed random variables, Independent r. v. and their sums |
Link |
Probability Theory and Applications |
Lecture 13 - Independent r. v. and their sums |
Link |
Probability Theory and Applications |
Lecture 14 - Chi – square r. v., sums of independent normal r. v., Conditional distr |
Link |
Probability Theory and Applications |
Lecture 15 - Conditional disti, Joint distr. of functions of r. v., Order statistics |
Link |
Probability Theory and Applications |
Lecture 16 - Order statistics, Covariance and correlation |
Link |
Probability Theory and Applications |
Lecture 17 - Covariance, Correlation, Cauchy- Schwarz inequalities, Conditional expectation |
Link |
Probability Theory and Applications |
Lecture 18 - Conditional expectation, Best linear predictor |
Link |
Probability Theory and Applications |
Lecture 19 - Inequalities and bounds |
Link |
Probability Theory and Applications |
Lecture 20 - Convergence and limit theorems |
Link |
Probability Theory and Applications |
Lecture 21 - Central limit theorem |
Link |
Probability Theory and Applications |
Lecture 22 - Applications of central limit theorem |
Link |
Probability Theory and Applications |
Lecture 23 - Strong law of large numbers, Joint mgf |
Link |
Probability Theory and Applications |
Lecture 24 - Convolutions |
Link |
Probability Theory and Applications |
Lecture 25 - Stochastic processes: Markov process |
Link |
Probability Theory and Applications |
Lecture 26 - Transition and state probabilities |
Link |
Probability Theory and Applications |
Lecture 27 - State prob., First passage and First return prob |
Link |
Probability Theory and Applications |
Lecture 28 - First passage and First return prob. Classification of states |
Link |
Probability Theory and Applications |
Lecture 29 - Random walk, periodic and null states |
Link |
Probability Theory and Applications |
Lecture 30 - Reducible Markov chains |
Link |
Probability Theory and Applications |
Lecture 31 - Time reversible Markov chains |
Link |
Probability Theory and Applications |
Lecture 32 - Poisson Processes |
Link |
Probability Theory and Applications |
Lecture 33 - Inter-arrival times, Properties of Poisson processes |
Link |
Probability Theory and Applications |
Lecture 34 - Queuing Models: M/M/I, Birth and death process, Little’s formulae |
Link |
Probability Theory and Applications |
Lecture 35 - Analysis of L, Lq ,W and Wq , M/M/S model |
Link |
Probability Theory and Applications |
Lecture 36 - M/M/S , M/M/I/K models |
Link |
Probability Theory and Applications |
Lecture 37 - M/M/I/K and M/M/S/K models |
Link |
Probability Theory and Applications |
Lecture 38 - Application to reliability theory failure law |
Link |
Probability Theory and Applications |
Lecture 39 - Exponential failure law, Weibull law |
Link |
Probability Theory and Applications |
Lecture 40 - Reliability of systems |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 1 - Numbers |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 2 - Functions-1 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 3 - Sequence-1 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 4 - Sequence-2 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 5 - Limits and Continuity-1 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 6 - Limits and Continuity-2 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 7 - Limits And Continuity-3 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 8 - Derivative-1 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 9 - Derivative-2 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 10 - Maxima And Minima |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 11 - Mean-Value Theorem And Taylors Expansion-1 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 12 - Mean-Value Theorem And Taylors Expansion-2 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 13 - Integration-1 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 14 - Integration-2 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 15 - Integration By Parts |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 16 - Definite Integral |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 17 - Riemann Integration-1 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 18 - Riemann Integration-2 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 19 - Functions Of Two Or More Variables |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 20 - Limits And Continuity Of Functions Of Two Variable |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 21 - Differentiation Of Functions Of Two Variables-1 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 22 - Differentiation Of Functions Of Two Variables-2 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 23 - Unconstrained Minimization Of Funtions Of Two Variables |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 24 - Constrained Minimization And Lagrange Multiplier Rules |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 25 - Infinite Series-1 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 26 - Infinite Series-2 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 27 - Infinite Series-3 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 28 - Multiple Integrals-1 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 29 - Multiple Integrals-2 |
Link |
NOC:Basic Calculus for Engineers, Scientists and Economists |
Lecture 30 - Multiple Integrals-3 |
Link |
NOC:Probability and Stochastics for finance |
Lecture 1 - Basic Probability |
Link |
NOC:Probability and Stochastics for finance |
Lecture 2 - Interesting Problems In Probability |
Link |
NOC:Probability and Stochastics for finance |
Lecture 3 - Random variables, distribution function and independence |
Link |
NOC:Probability and Stochastics for finance |
Lecture 4 - Chebyshev inequality, Borel-Cantelli Lemmas and related issues |
Link |
NOC:Probability and Stochastics for finance |
Lecture 5 - Law of Large Number and Central Limit Theorem |
Link |
NOC:Probability and Stochastics for finance |
Lecture 6 - Conditional Expectation - I |
Link |
NOC:Probability and Stochastics for finance |
Lecture 7 - Conditional Expectation - II |
Link |
NOC:Probability and Stochastics for finance |
Lecture 8 - Martingales |
Link |
NOC:Probability and Stochastics for finance |
Lecture 9 - Brownian Motion - I |
Link |
NOC:Probability and Stochastics for finance |
Lecture 10 - Brownian Motion - II |
Link |
NOC:Probability and Stochastics for finance |
Lecture 11 - Brownian Motion - III |
Link |
NOC:Probability and Stochastics for finance |
Lecture 12 - Ito Integral - I |
Link |
NOC:Probability and Stochastics for finance |
Lecture 13 - Ito Integral - II |
Link |
NOC:Probability and Stochastics for finance |
Lecture 14 - Ito Calculus - I |
Link |
NOC:Probability and Stochastics for finance |
Lecture 15 - Ito Calculus - II |
Link |
NOC:Probability and Stochastics for finance |
Lecture 16 - Ito Integral In Higher Dimension |
Link |
NOC:Probability and Stochastics for finance |
Lecture 17 - Application to Ito Integral - I |
Link |
NOC:Probability and Stochastics for finance |
Lecture 18 - Application to Ito Integral - II |
Link |
NOC:Probability and Stochastics for finance |
Lecture 19 - Black Scholes Formula - I |
Link |
NOC:Probability and Stochastics for finance |
Lecture 20 - Black Scholes Formula - II |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 1 - Introduction to Several Variables and Notion Of distance in Rn |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 2 - Countinuity And Compactness |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 3 - Countinuity And Connectdness |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 4 - Derivatives: Possible Definition |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 5 - Matrix Of Linear Transformation |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 6 - Examples for Differentiable function |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 7 - Sufficient condition of differentiability |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 8 - Chain Rule |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 9 - Mean Value Theorem |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 10 - Higher Order Derivatives |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 11 - Taylor's Formula |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 12 - Maximum And Minimum |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 13 - Second derivative test for maximum, minimum and saddle point |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 14 - We formalise the second derivative test discussed in Lecture 2 and do examples |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 15 - Specialisation to functions of two variables |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 16 - Implicit Function Theorem |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 17 - Implicit Function Theorem -a |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 18 - Application of IFT: Lagrange's Multipliers Method |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 19 - Application of IFT: Lagrange's Multipliers Method - b |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 20 - Application of IFT: Lagrange's Multipliers Method - c |
Link |
NOC:Differential Calculus in Several Variables |
Lecture 21 - Application of IFT: Inverse Function Theorem - c |
Link |
NOC:Curves and Surfaces |
Lecture 1 - Level curves and locus, definition of parametric curves, tangent, arc length, arc length parametrisation |
Link |
NOC:Curves and Surfaces |
Lecture 2 - How much a curve is curved, signed unit normal and signed curvature, rigid motions, constant curvature |
Link |
NOC:Curves and Surfaces |
Lecture 3 - Curves in R^3, principal normal and binormal, torsion |
Link |
NOC:Curves and Surfaces |
Lecture 4 - Frenet-Serret formula |
Link |
NOC:Curves and Surfaces |
Lecture 5 - Simple closed curve and isoperimetric inequality |
Link |
NOC:Curves and Surfaces |
Lecture 6 - Surfaces and parametric surfaces, examples, regular surface and non-example of regular surface, transition maps. |
Link |
NOC:Curves and Surfaces |
Lecture 7 - Transition maps of smooth surfaces, smooth function between surfaces, diffeomorphism |
Link |
NOC:Curves and Surfaces |
Lecture 8 - Reparameterization |
Link |
NOC:Curves and Surfaces |
Lecture 9 - Tangent, Normal |
Link |
NOC:Curves and Surfaces |
Lecture 10 - Orientable surfaces |
Link |
NOC:Curves and Surfaces |
Lecture 11 - Examples of Surfaces |
Link |
NOC:Curves and Surfaces |
Lecture 12 - First Fundamental Form |
Link |
NOC:Curves and Surfaces |
Lecture 13 - Conformal Mapping |
Link |
NOC:Curves and Surfaces |
Lecture 14 - Curvature of Surfaces |
Link |
NOC:Curves and Surfaces |
Lecture 15 - Euler's Theorem |
Link |
NOC:Curves and Surfaces |
Lecture 16 - Regular Surfaces locally as Quadratic Surfaces |
Link |
NOC:Curves and Surfaces |
Lecture 17 - Geodesics |
Link |
NOC:Curves and Surfaces |
Lecture 18 - Existence of Geodesics, Geodesics on Surfaces of revolution |
Link |
NOC:Curves and Surfaces |
Lecture 19 - Geodesics on surfaces of revolution; Clairaut's Theorem |
Link |
NOC:Curves and Surfaces |
Lecture 20 - Pseudosphere |
Link |
NOC:Curves and Surfaces |
Lecture 21 - Classification of Quadratic Surface |
Link |
NOC:Curves and Surfaces |
Lecture 22 - Surface Area and Equiareal Map |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 1 - Basic Fundamental Concepts Of Modelling |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 2 - Regression Model - A Statistical Tool |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 3 - Simple Linear Regression Analysis |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 4 - Estimation Of Parameters In Simple Linear Regression Model |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 5 - Estimation Of Parameters In Simple Linear Regression Model (Continued...) : Some Nice Properties |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 6 - Estimation Of Parameters In Simple Linear Regression Model (Continued...) |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 7 - Maximum Likelihood Estimation of Parameters in Simple Linear Regression Model |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 8 - Testing of Hypotheis and Confidence Interval Estimation in Simple Linear Regression Model |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 9 - Testing of Hypotheis and Confidence Interval Estimation in Simple Linear Regression Model (Continued...) |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 10 - Software Implementation in Simple Linear Regression Model using MINITAB |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 11 - Multiple Linear Regression Model |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 12 - Estimation of Model Parameters in Multiple Linear Regression Model |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 13 - Estimation of Model Parameters in Multiple Linear Regression Model (Continued...) |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 14 - Standardized Regression Coefficients and Testing of Hypothesis |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 15 - Testing of Hypothesis (Continued...) and Goodness of Fit of the Model |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 16 - Diagnostics in Multiple Linear Regression Model |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 17 - Diagnostics in Multiple Linear Regression Model (Continued...) |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 18 - Diagnostics in Multiple Linear Regression Model (Continued...) |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 19 - Software Implementation of Multiple Linear Regression Model using MINITAB |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 20 - Software Implementation of Multiple Linear Regression Model using MINITAB (Continued...) |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 21 - Forecasting in Multiple Linear Regression Model |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 22 - Within Sample Forecasting |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 23 - Outside Sample Forecasting |
Link |
NOC:Linear Regression Analysis and Forecasting |
Lecture 24 - Software Implementation of Forecasting using MINITAB |
Link |
NOC:Introduction to R Software |
Lecture 1 - How to Learn and Follow the Course |
Link |
NOC:Introduction to R Software |
Lecture 2 - Why R and Installation Procedure |
Link |
NOC:Introduction to R Software |
Lecture 3 - Introduction _Help_ Demo examples_ packages_ libraries |
Link |
NOC:Introduction to R Software |
Lecture 4 - Introduction _Command line_ Data editor _ Rstudio |
Link |
NOC:Introduction to R Software |
Lecture 5 - Basics in Calculations |
Link |
NOC:Introduction to R Software |
Lecture 6 - Basics of Calculations _ Calculator _Built in Functions Assignments |
Link |
NOC:Introduction to R Software |
Lecture 7 - Basics of Calculations _Functions _Matrices |
Link |
NOC:Introduction to R Software |
Lecture 8 - Basics Calculations: Matrix Operations |
Link |
NOC:Introduction to R Software |
Lecture 9 - Basics Calculations: Matrix operations |
Link |
NOC:Introduction to R Software |
Lecture 10 - Basics Calculations: Missing data and logical operators |
Link |
NOC:Introduction to R Software |
Lecture 11 - Basics Calculations: Logical operators |
Link |
NOC:Introduction to R Software |
Lecture 12 - Basics Calculations: Truth table and conditional executions |
Link |
NOC:Introduction to R Software |
Lecture 13 - Basics Calculations: Conditional executions and loops |
Link |
NOC:Introduction to R Software |
Lecture 14 - Basics Calculations: Loops |
Link |
NOC:Introduction to R Software |
Lecture 15 - Data management - Sequences |
Link |
NOC:Introduction to R Software |
Lecture 16 - Data management - sequences |
Link |
NOC:Introduction to R Software |
Lecture 17 - Data management - Repeats |
Link |
NOC:Introduction to R Software |
Lecture 18 - Data management - Sorting and Ordering |
Link |
NOC:Introduction to R Software |
Lecture 19 - Data management - Lists |
Link |
NOC:Introduction to R Software |
Lecture 20 - Data management - Lists (Continued...) |
Link |
NOC:Introduction to R Software |
Lecture 21 - Data management - Vector indexing |
Link |
NOC:Introduction to R Software |
Lecture 22 - Data management - Vector Indexing (Continued...) |
Link |
NOC:Introduction to R Software |
Lecture 23 - Data management - Factors |
Link |
NOC:Introduction to R Software |
Lecture 24 - Data management - factors (Continued...) |
Link |
NOC:Introduction to R Software |
Lecture 25 - Strings - Display and Formatting, Print and Format Functions |
Link |
NOC:Introduction to R Software |
Lecture 26 - Strings - Display and Formatting, Print and Format with Concatenate |
Link |
NOC:Introduction to R Software |
Lecture 27 - Strings - Display and Formatting, Paste Function |
Link |
NOC:Introduction to R Software |
Lecture 28 - Strings - Display and Formatting, Splitting |
Link |
NOC:Introduction to R Software |
Lecture 29 - Strings - Display and Formatting, Replacement_ Manipulations _Alphabets |
Link |
NOC:Introduction to R Software |
Lecture 30 - Strings - Display and Formatting, Replacement and Evaluation of Strings |
Link |
NOC:Introduction to R Software |
Lecture 31 - Data frames |
Link |
NOC:Introduction to R Software |
Lecture 32 - Data frames (Continued...) |
Link |
NOC:Introduction to R Software |
Lecture 33 - Data frames (Continued...) |
Link |
NOC:Introduction to R Software |
Lecture 34 - Data Handling - Importing CSV and Tabular Data Files |
Link |
NOC:Introduction to R Software |
Lecture 35 - Data Handling - Importing Data Files from Other Software |
Link |
NOC:Introduction to R Software |
Lecture 36 - Statistical Functions - Frequency and Partition values |
Link |
NOC:Introduction to R Software |
Lecture 37 - Statistical Functions - Graphics and Plots |
Link |
NOC:Introduction to R Software |
Lecture 38 - Statistical Functions - Central Tendency and Variation |
Link |
NOC:Introduction to R Software |
Lecture 39 - Statistical Functions - Boxplots, Skewness and Kurtosis |
Link |
NOC:Introduction to R Software |
Lecture 40 - Statistical Functions - Bivariate three dimensional plot |
Link |
NOC:Introduction to R Software |
Lecture 41 - Statistical Functions - Correlation and Examples of Programming |
Link |
NOC:Introduction to R Software |
Lecture 42 - Examples of Programming |
Link |
NOC:Introduction to R Software |
Lecture 43 - Examples of More Programming |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 1 - Introduction to R Software |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 2 - Basics and R as a Calculator |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 3 - Calculations with Data Vectors |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 4 - Built-in Commands and Missing Data Handling |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 5 - Operations with Matrices |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 6 - Objectives, Steps and Basic Definitions |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 7 - Variables and Types of Data |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 8 - Absolute Frequency, Relative Frequency and Frequency Distribution |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 9 - Frequency Distribution and Cumulative Distribution Function |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 10 - Bar Diagrams |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 11 - Subdivided Bar Plots and Pie Diagrams |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 12 - 3D Pie Diagram and Histogram |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 13 - Kernel Density and Stem - Leaf Plots |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 14 - Arithmetic Mean |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 15 - Median |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 16 - Quantiles |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 17 - Mode, Geometric Mean and Harmonic Mean |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 18 - Range, Interquartile Range and Quartile Deviation |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 19 - Absolute Deviation and Absolute Mean Deviation |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 20 - Mean Squared Error, Variance and Standard Deviation |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 21 - Coefficient of Variation and Boxplots |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 22 - Raw and Central Moments |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 23 - Sheppard's Correction, Absolute Moments and Computation of Moments |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 24 - Skewness and Kurtosis |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 25 - Univariate and Bivariate Scatter Plots |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 26 - Smooth Scatter Plots |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 27 - Quantile- Quantile and Three Dimensional Plots |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 28 - Correlation Coefficient |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 29 - Correlation Coefficient Using R Software |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 30 - Rank Correlation Coefficient |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 31 - Measures of Association for Discrete and Counting Variables - Part 1 |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 32 - Measures of Association for Discrete and Counting Variables - Part 2 |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 33 - Least Squares Method - One Variable |
Link |
NOC:Descriptive Statistics with R Software |
Lecture 34 - Least Squares Method - R Commands and More than One Variables |
Link |
NOC:Calculus of Several Real Variables |
Lecture 1 - Vectors in plane and space |
Link |
NOC:Calculus of Several Real Variables |
Lecture 2 - Inner product and distance |
Link |
NOC:Calculus of Several Real Variables |
Lecture 3 - Application to real world problems |
Link |
NOC:Calculus of Several Real Variables |
Lecture 4 - Matrices and determinants |
Link |
NOC:Calculus of Several Real Variables |
Lecture 5 - Cross product of two vectors |
Link |
NOC:Calculus of Several Real Variables |
Lecture 6 - Higher dimensional Euclidean space |
Link |
NOC:Calculus of Several Real Variables |
Lecture 7 - Functions of more than one real-variable |
Link |
NOC:Calculus of Several Real Variables |
Lecture 8 - Partial derivatives and Continuity |
Link |
NOC:Calculus of Several Real Variables |
Lecture 9 - Vector-valued maps and Jacobian matrix |
Link |
NOC:Calculus of Several Real Variables |
Lecture 10 - Chain rule for partial derivatives |
Link |
NOC:Calculus of Several Real Variables |
Lecture 11 - The Gradient Vector and Directional Derivative |
Link |
NOC:Calculus of Several Real Variables |
Lecture 12 - The Implicit Function Theorem |
Link |
NOC:Calculus of Several Real Variables |
Lecture 13 - Higher Order Partial Derivatives |
Link |
NOC:Calculus of Several Real Variables |
Lecture 14 - Taylor's Theorem in Higher Dimension |
Link |
NOC:Calculus of Several Real Variables |
Lecture 15 - Maxima and Minima for Several Variables |
Link |
NOC:Calculus of Several Real Variables |
Lecture 16 - Second Derivative Test for Maximum and Minimum |
Link |
NOC:Calculus of Several Real Variables |
Lecture 17 - Constrained Optimization and The Lagrange Multiplier Rule |
Link |
NOC:Calculus of Several Real Variables |
Lecture 18 - Vector Valued Function and Classical Mechanics |
Link |
NOC:Calculus of Several Real Variables |
Lecture 19 - Arc Length |
Link |
NOC:Calculus of Several Real Variables |
Lecture 20 - Vector Fields |
Link |
NOC:Calculus of Several Real Variables |
Lecture 21 - Multiple Integral - I |
Link |
NOC:Calculus of Several Real Variables |
Lecture 22 - Multiple Integral - II |
Link |
NOC:Calculus of Several Real Variables |
Lecture 23 - Multiple Integral - III |
Link |
NOC:Calculus of Several Real Variables |
Lecture 24 - Multiple Integral - IV |
Link |
NOC:Calculus of Several Real Variables |
Lecture 25 - Cylindrical and Spherical Coordinates |
Link |
NOC:Calculus of Several Real Variables |
Lecture 26 - Multiple Integrals and Mechanics |
Link |
NOC:Calculus of Several Real Variables |
Lecture 27 - Line Integral - I |
Link |
NOC:Calculus of Several Real Variables |
Lecture 28 - Line Integral - II |
Link |
NOC:Calculus of Several Real Variables |
Lecture 29 - Parametrized Surfaces |
Link |
NOC:Calculus of Several Real Variables |
Lecture 30 - Area of a surface Integral |
Link |
NOC:Calculus of Several Real Variables |
Lecture 31 - Area of parametrized surface |
Link |
NOC:Calculus of Several Real Variables |
Lecture 32 - Surface Integrals |
Link |
NOC:Calculus of Several Real Variables |
Lecture 33 - Green's Theorem |
Link |
NOC:Calculus of Several Real Variables |
Lecture 34 - Stoke's Theorem |
Link |
NOC:Calculus of Several Real Variables |
Lecture 35 - Examples of Stoke's Theorem |
Link |
NOC:Calculus of Several Real Variables |
Lecture 36 - Gauss Divergence Theorem |
Link |
NOC:Calculus of Several Real Variables |
Lecture 37 - Facts about vector fields |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 1 - Notations, Motivation and Definition |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 2 - Matrix: Examples, Transpose and Addition |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 3 - Matrix Multiplication |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 4 - Matrix Product Recalled |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 5 - Matrix Product (Continued...) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 6 - Inverse of a Matrix |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 7 - Introduction to System of Linear Equations |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 8 - Some Initial Results on Linear Systems |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 9 - Row Echelon Form (REF) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 10 - LU Decomposition - Simplest Form |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 11 - Elementary Matrices |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 12 - Row Reduced Echelon Form (RREF) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 13 - Row Reduced Echelon Form (RREF) (Continued...) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 14 - RREF and Inverse |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 15 - Rank of a matrix |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 16 - Solution Set of a System of Linear Equations |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 17 - System of n Linear Equations in n Unknowns |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 18 - Determinant |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 19 - Permutations and the Inverse of a Matrix |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 20 - Inverse and the Cramer's Rule |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 21 - Vector Spaces |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 22 - Vector Subspaces and Linear Span |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 23 - Linear Combination, Linear Independence and Dependence |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 24 - Basic Results on Linear Independence |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 25 - Results on Linear Independence (Continued...) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 26 - Basis of a Finite Dimensional Vector Space |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 27 - Fundamental Spaces associated with a Matrix |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 28 - Rank - Nullity Theorem |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 29 - Fundamental Theorem of Linear Algebra |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 30 - Definition and Examples of Linear Transformations |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 31 - Results on Linear Transformations |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 32 - Rank-Nullity Theorem and Applications |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 33 - Isomorphism of Vector Spaces |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 34 - Ordered Basis of a Finite Dimensional Vector Space |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 35 - Ordered Basis (Continued...) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 36 - Matrix of a Linear Transformation |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 37 - Matrix of a Linear Transformation (Continued...) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 38 - Matrix of a Linear Transformation (Continued...) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 39 - Inner Product Space |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 40 - Inner Product (Continued...) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 41 - Cauchy Schwartz Inequality |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 42 - Projection on a Vector |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 43 - Results on Orthogonality |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 44 - Results on Orthogonality |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 45 - Gram-Schmidt Orthonormalization Process |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 46 - Orthogonal Projections |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 47 - Gram-Schmidt Process: Applications |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 48 - Examples and Applications on QR-decomposition |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 49 - Recapitulate ideas on Inner Product Spaces |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 50 - Motivation on Eigenvalues and Eigenvectors |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 51 - Examples and Introduction to Eigenvalues and Eigenvectors |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 52 - Results on Eigenvalues and Eigenvectors |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 53 - Results on Eigenvalues and Eigenvectors (Continued...) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 54 - Results on Eigenvalues and Eigenvectors (Continued...) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 55 - Results on Eigenvalues and Eigenvectors (Continued...) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 56 - Diagonalizability |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 57 - Diagonalizability (Continued...) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 58 - Schur's Unitary Triangularization (SUT) |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 59 - Applications of Schur's Unitary Triangularization |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 60 - Spectral Theorem for Hermitian Matrices |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 61 - Cayley Hamilton Theorem |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 62 - Quadratic Forms |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 63 - Sylvester's Law of Inertia |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 64 - Applications of Quadratic Forms to Analytic Geometry |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 65 - Examples of Conics and Quartics |
Link |
NOC:Linear Algebra (Prof. A.K. Lal) |
Lecture 66 - Singular Value Decomposition (SVD) |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 1 - Introduction: Computation and Algebra |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 2 - Background |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 3 - GCD algorithm and Chinese Remainder Theorem |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 4 - Fast polynomial multiplication |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 5 - Fast polynomial multiplication (Continued...) |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 6 - Fast integer multiplication and division |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 7 - Fast integer arithmetic and matrix multiplication |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 8 - Matrix Multiplication Tensor |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 9 - Polynomial factoring over finite fields: Irreducibility testing |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 10 - Equi-degree factorization and idea of Berlekamp's algorithm |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 11 - Berlekamp's algorithm as a reduction method |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 12 - Factoring over finite fields: Cantor-Zassenhaus algorithm |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 13 - Reed Solomon Error Correcting Codes |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 14 - List Decoding |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 15 - Bivariate Factorization - Hensel Lifting |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 16 - Bivariate polynomial factoring (Continued...) |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 17 - Multivariate Polynomial Factorization |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 18 - Multivariate Factoring - Hilbert's Irreducibility Theorem |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 19 - Multivariate factoring (Continued...) |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 20 - Analysis of LLL algorithm |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 21 - Analysis of LLL algorithm (Continued...) |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 22 - Analysis of LLL-reduced basis algorithm and Introduction to NTRU cryptosystem |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 23 - NTRU cryptosystem (Continued...) and Introduction to Primality testing |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 24 - Randomized Primality testing: Solovay-Strassen and Miller-Rabin tests |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 25 - Deterministic primality test (AKS) and RSA cryptosystem |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 26 - Integer factoring: Smooth numbers and Pollard's rho method |
Link |
NOC:Computational Number Theory and Algebra |
Lecture 27 - Pollard's p-1, Fermat, Morrison-Brillhart, Quadratic and Number field sieve methods |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 1 - Real numbers and Archimedean property |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 2 - Supremum and Decimal representation of Reals |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 3 - Functions |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 4 - Functions continued and Limits |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 5 - Limits (Continued...) |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 6 - Limits (Continued...) and Continuity |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 7 - Continuity and Intermediate Value Property |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 8 - Differentiation |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 9 - Chain Rule |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 10 - Nth derivative of a function |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 11 - Local extrema and Rolle's theorem |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 12 - Mean value theorem and Monotone functions |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 13 - Local extremum tests |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 14 - Concavity and points of inflection |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 15 - Asymptotes and plotting graph of functions |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 16 - Optimization and L'Hospital Rule |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 17 - L'Hospital Rule continued and Cauchy Mean value theorem |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 18 - Approximation of Roots |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 19 - Antiderivative and Riemann Integration |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 20 - Riemann's criterion for Integrability |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 21 - Integration and its properties |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 22 - Area and Mean value theorem for integrals |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 23 - Fundamental theorem of Calculus |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 24 - Integration by parts and Trapezoidal rule |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 25 - Simpson's rule and Substitution in integrals |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 26 - Area between curves |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 27 - Arc Length and Parametric curves |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 28 - Polar Co-ordinates |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 29 - Area of curves in polar coordinates |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 30 - Volume of solids |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 31 - Improper Integrals |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 32 - Sequences |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 33 - Algebra of sequences and Sandwich theorem |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 34 - Subsequences |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 35 - Series |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 36 - Comparison tests for Series |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 37 - Ratio and Root test for series |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 38 - Integral test and Leibniz test for series |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 39 - Revision - I |
Link |
NOC:Basic Calculus 1 and 2 |
Lecture 40 - Revision - II |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 1 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 2 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 3 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 4 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 5 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 6 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 7 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 8 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 9 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 10 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 11 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 12 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 13 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 14 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 15 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 16 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 17 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 18 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 19 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 20 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 21 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 22 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 23 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 24 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 25 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 26 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 27 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 28 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 29 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 30 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 31 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 32 |
Link |
NOC:Advanced Partial Differential Equations |
Lecture 33 |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 1 - Data Science - Why, What, and How? |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 2 - Installation and Working with R |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 3 - Installation and Working with R Studio |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 4 - Calculations with R as a Calculator |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 5 - Calculations with Data Vectors |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 6 - Built-in Commands and Bivariate Plots |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 7 - Logical Operators and Selection of Sample |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 8 - Introduction to Probability |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 9 - Sample Space and Events |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 10 - Set Theory and Events using Venn Diagrams |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 11 - Relative Frequency and Probability |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 12 - Probability and Relative Frequency - An Example |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 13 - Axiomatic Definition of Probability |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 14 - Some Rules of Probability |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 15 - Basic Principles of Counting - Ordered Set, Unordered Set, and Permutations |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 16 - Basic Principles of Counting - Combination |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 17 - Conditional Probability |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 18 - Multiplication Theorem of Probability |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 19 - Bayes' Theorem |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 20 - Independent Events |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 21 - Computation of Probability using R |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 22 - Random Variables - Discrete and Continuous |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 23 - Cumulative Distribution and Probability Density Function |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 24 - Discrete Random Variables, Probability Mass Function and Cumulative Distribution Function |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 25 - Expectation of Variables |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 26 - Moments and Variance |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 27 - Data Based Moments and Variance in R Software |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 28 - Skewness and Kurtosis |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 29 - Quantiles and Tschebyschev’s Inequality |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 30 - Degenerate and Discrete Uniform Distributions |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 31 - Discrete Uniform Distribution in R |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 32 - Bernoulli and Binomial Distribution |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 33 - Binomial Distribution in R |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 34 - Poisson Distribution |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 35 - Poisson Distribution in R |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 36 - Geometric Distribution |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 37 - Geometric Distribution in R |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 38 - Continuous Random Variables and Uniform Distribution |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 39 - Normal Distribution |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 40 - Normal Distribution in R |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 41 - Normal Distribution - More Results |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 42 - Exponential Distribution |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 43 - Bivariate Probability Distribution for Discrete Random Variables |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 44 - Bivariate Probability Distribution in R Software |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 45 - Bivariate Probability Distribution for Continuous Random Variables |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 46 - Examples in Bivariate Probability Distribution Functions |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 47 - Covariance and Correlation |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 48 - Covariance and Correlation ‐ Examples and R Software |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 49 - Bivariate Normal Distribution |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 50 - Chi square Distribution |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 51 - t-Distribution |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 52 - F-Distribution |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 53 - Distribution of Sample Mean, Convergence in Probability and Weak Law of Large Numbers |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 54 - Central Limit Theorem |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 55 - Needs for Drawing Statistical Inferences |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 56 - Unbiased Estimators |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 57 - Efficiency of Estimators |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 58 - Cramér–Rao Lower Bound and Efficiency of Estimators |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 59 - Consistency and Sufficiency of Estimators |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 60 - Method of Moments |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 61 - Method of Maximum Likelihood and Rao Blackwell Theorem |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 62 - Basic Concepts of Confidence Interval Estimation |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 63 - Confidence Interval for Mean in One Sample with Known Variance |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 64 - Confidence Interval for Mean and Variance |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 65 - Basics of Tests of Hypothesis and Decision Rules |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 66 - Test Procedures for One Sample Test for Mean with Known Variance |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 67 - One Sample Test for Mean with Unknown Variance |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 68 - Two Sample Test for Mean with Known and Unknown Variances |
Link |
NOC:Essentials of Data Science With R Software 1: Probability and Statistical Inference |
Lecture 69 - Test of Hypothesis for Variance in One and Two Samples |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 1 - What is Data Science ? |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 2 - Installation and Working with R |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 3 - Calculations with R as a Calculator |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 4 - Calculations with Data Vectors |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 5 - Built-in Commands and Missing Data Handling |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 6 - Operations with Matrices |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 7 - Data Handling |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 8 - Graphics and Plots |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 9 - Sampling, Sampling Unit, Population and Sample |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 10 - Terminologies and Concepts |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 11 - Ensuring Representativeness and Type of Surveys |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 12 - Conducting Surveys and Ensuring Representativeness |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 13 - SRSWOR, SRSWR, and Selection of Unit - 1 |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 14 - SRSWOR, SRSWR, and Selection of Unit - 2 |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 15 - Probabilities of Selection of Samples |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 16 - SRSWOR and SRSWR with R with sample Package |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 17 - Examples of SRS with R using sample Package |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 18 - Simple Random Sampling : SRS with R using sampling and sample Packages |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 19 - Simple Random Sampling : Estimation of Population Mean |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 20 - Simple Random Sampling : Estimation of Population Variance |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 21 - Simple Random Sampling : Estimation of Population Variance |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 22 - SRS: Confidence Interval Estimation of Population Mean |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 23 - SRS: Estimation of Mean, Variance and Confidence Interval in SRSWOR using R |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 24 - SRS: Estimation of Mean, Variance and Confidence Interval in SRSWR using R |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 25 - Sampling for Proportions and Percentages : Basic Concepts |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 26 - Sampling for Proportions and Percentages : Mean and Variance of Sample Proportion |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 27 - Sampling for Proportions and Percentages : Sampling for Proportions with R |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 28 - Stratified Random Sampling : Drawing the Sample and Sampling Procedure |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 29 - Stratified Random Sampling : Estimation of Population Mean, Population Variance and Confidence Interval |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 30 - Stratified Random Sampling : Sample Allocation and Variances Under Allocation |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 31 - Stratified Random Sampling : Drawing of Sample Using sampling and strata Packages in R |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 32 - Stratified Random Sampling : Drawing of Sample Using survey Package in R |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 33 - Bootstrap Methodology : What is Bootstrap and Methodology |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 34 - Bootstrap Methodology : EDF, Bootstrap Bias and Bootstrap Standard Errors |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 35 - Bootstrap Methodology : Bootstrap Analysis Using boot Package in R |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 36 - Bootstrap Methodology : Bootstrap Confidence Interval |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 37 - Bootstrap Methodology : Bootstrap Confidence Interval Using boot and bootstrap Packages in R |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 38 - Bootstrap Methodology : Example of Bootstrap Analysis Using boot Package |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 39 - Introduction to Linear Models and Regression : Introduction and Basic Concepts |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 40 - Simple Linear Regression Analysis : Basic Concepts and Least Squares Estimation |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 41 - Simple Linear Regression Analysis : Fitting Linear Model With R Software |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 42 - Simple Linear Regression Analysis : Properties of Least Squares Estimators |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 43 - Simple Linear Regression Analysis : Maximum Likelihood and Confidence Interval Estimation |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 44 - Simple Linear Regression Analysis : Test of Hypothesis and Confidence Interval Estimation With R |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 45 - Multiple Linear Regression Analysis : Basic Concepts |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 46 - Multiple Linear Regression Analysis : OLSE, Fitted Model and Residuals |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 47 - Multiple Linear Regression Analysis : Model Fitting With R Software |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 48 - Multiple Linear Regression Analysis : Properties of OLSE and Maximum Likelihood Estimation |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 49 - Multiple Linear Regression Analysis : Test of Hypothesis and Confidence Interval Estimation on Individual Regression Coefficients |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 50 - Analysis of Variance and Implementation in R Software |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 51 - Goodness of Fit and Implementation in R Software |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 52 - Variable Selection using LASSO Regression : Introduction and Basic Concepts |
Link |
NOC:Essentials of Data Science With R Software 2: Sampling Theory and Linear Regression Analysis |
Lecture 53 - Variable Selection using LASSO Regression : LASSO with R |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 1 - Introduction to the course Measure Theoretic Probability 1 |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 2 - Sigma-fields and Measurable spaces |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 3 - Fields and Generating sets for Sigma-fields |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 4 - Borel Sigma-field on R and other sets |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 5 - Limits of sequences of sets and Monotone classes |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 6 - Measures and Measure spaces |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 7 - Probability Measures |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 8 - Properties of Measures - I |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 9 - Properties of Measures - II |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 10 - Properties of Measures - III |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 11 - Measurable functions |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 12 - Borel Measurable functions |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 13 - Algebraic properties of Measurable functions |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 14 - Limiting behaviour of measurable functions |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 15 - Random Variables and Random Vectors |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 16 - Law or Distribution of an RV |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 17 - Distribution Function of an RV |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 18 - Decomposition of Distribution functions |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 19 - Construction of RVs with a specified law |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 20 - Caratheodery Extension Theorem |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 21 - From Distribution Functions to Probability Measures - I |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 22 - From Distribution Functions to Probability Measures - II |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 23 - Lebesgue-Stieltjes Measures |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 24 - Properties of Lebesgue Measure on R |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 25 - Distribution Functions and Probability Measures in higher dimensions |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 26 - Integration of measurable functions |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 27 - Properties of Measure Theoretic Integration - I |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 28 - Properties of Measure Theoretic Integration - II |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 29 - Monotone Convergence Theorem |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 30 - Computation of Expectation for Discrete RVs |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 31 - MCT and the Linearity of Measure Theoretic Integration |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 32 - Sets of measure zero and Measure Theoretic Integration |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 33 - Fatou's Lemma and Dominated Convergence Theorem |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 34 - Riemann and Lebesgue integration |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 35 - Computations involving Lebesgue Integration |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 36 - Decomposition of Measures |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 37 - Absolutely Continuous RVs |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 38 - Expectation of Absolutely Continuous RVs |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 39 - Inequalities involving moments of RVs |
Link |
NOC:Measure Theoretic Probability 1 |
Lecture 40 - Conclusion to the course Measure Theoretic Probability 1 |
Link |
Advanced Engineering Mathematics |
Lecture 1 - Review Groups, Fields and Matrices |
Link |
Advanced Engineering Mathematics |
Lecture 2 - Vector Spaces, Subspaces, Linearly Dependent/Independent of Vectors |
Link |
Advanced Engineering Mathematics |
Lecture 3 - Basis, Dimension, Rank and Matrix Inverse |
Link |
Advanced Engineering Mathematics |
Lecture 4 - Linear Transformation, Isomorphism and Matrix Representation |
Link |
Advanced Engineering Mathematics |
Lecture 5 - System of Linear Equations, Eigenvalues and Eigenvectors |
Link |
Advanced Engineering Mathematics |
Lecture 6 - Method to Find Eigenvalues and Eigenvectors, Diagonalization of Matrices |
Link |
Advanced Engineering Mathematics |
Lecture 7 - Jordan Canonical Form, Cayley Hamilton Theorem |
Link |
Advanced Engineering Mathematics |
Lecture 8 - Inner Product Spaces, Cauchy-Schwarz Inequality |
Link |
Advanced Engineering Mathematics |
Lecture 9 - Orthogonality, Gram-Schmidt Orthogonalization Process |
Link |
Advanced Engineering Mathematics |
Lecture 10 - Spectrum of special matrices,positive/negative definite matrices |
Link |
Advanced Engineering Mathematics |
Lecture 11 - Concept of Domain, Limit, Continuity and Differentiability |
Link |
Advanced Engineering Mathematics |
Lecture 12 - Analytic Functions, C-R Equations |
Link |
Advanced Engineering Mathematics |
Lecture 13 - Harmonic Functions |
Link |
Advanced Engineering Mathematics |
Lecture 14 - Line Integral in the Complex |
Link |
Advanced Engineering Mathematics |
Lecture 15 - Cauchy Integral Theorem |
Link |
Advanced Engineering Mathematics |
Lecture 16 - Cauchy Integral Theorem (Continued.) |
Link |
Advanced Engineering Mathematics |
Lecture 17 - Cauchy Integral Formula |
Link |
Advanced Engineering Mathematics |
Lecture 18 - Power and Taylor's Series of Complex Numbers |
Link |
Advanced Engineering Mathematics |
Lecture 19 - Power and Taylor's Series of Complex Numbers (Continued.) |
Link |
Advanced Engineering Mathematics |
Lecture 20 - Taylor's, Laurent Series of f(z) and Singularities |
Link |
Advanced Engineering Mathematics |
Lecture 21 - Classification of Singularities, Residue and Residue Theorem |
Link |
Advanced Engineering Mathematics |
Lecture 22 - Laplace Transform and its Existence |
Link |
Advanced Engineering Mathematics |
Lecture 23 - Properties of Laplace Transform |
Link |
Advanced Engineering Mathematics |
Lecture 24 - Evaluation of Laplace and Inverse Laplace Transform |
Link |
Advanced Engineering Mathematics |
Lecture 25 - Applications of Laplace Transform to Integral Equations and ODEs |
Link |
Advanced Engineering Mathematics |
Lecture 26 - Applications of Laplace Transform to PDEs |
Link |
Advanced Engineering Mathematics |
Lecture 27 - Fourier Series |
Link |
Advanced Engineering Mathematics |
Lecture 28 - Fourier Series (Continued.) |
Link |
Advanced Engineering Mathematics |
Lecture 29 - Fourier Integral Representation of a Function |
Link |
Advanced Engineering Mathematics |
Lecture 30 - Introduction to Fourier Transform |
Link |
Advanced Engineering Mathematics |
Lecture 31 - Applications of Fourier Transform to PDEs |
Link |
Advanced Engineering Mathematics |
Lecture 32 - Laws of Probability - I |
Link |
Advanced Engineering Mathematics |
Lecture 33 - Laws of Probability - II |
Link |
Advanced Engineering Mathematics |
Lecture 34 - Problems in Probability |
Link |
Advanced Engineering Mathematics |
Lecture 35 - Random Variables |
Link |
Advanced Engineering Mathematics |
Lecture 36 - Special Discrete Distributions |
Link |
Advanced Engineering Mathematics |
Lecture 37 - Special Continuous Distributions |
Link |
Advanced Engineering Mathematics |
Lecture 38 - Joint Distributions and Sampling Distributions |
Link |
Advanced Engineering Mathematics |
Lecture 39 - Point Estimation |
Link |
Advanced Engineering Mathematics |
Lecture 40 - Interval Estimation |
Link |
Advanced Engineering Mathematics |
Lecture 41 - Basic Concepts of Testing of Hypothesis |
Link |
Advanced Engineering Mathematics |
Lecture 42 - Tests for Normal Populations |
Link |
Functional Analysis |
Lecture 1 - Metric Spaces with Examples |
Link |
Functional Analysis |
Lecture 2 - Holder Inequality and Minkowski Inequality |
Link |
Functional Analysis |
Lecture 3 - Various Concepts in a Metric Space |
Link |
Functional Analysis |
Lecture 4 - Separable Metrics Spaces with Examples |
Link |
Functional Analysis |
Lecture 5 - Convergence, Cauchy Sequence, Completeness |
Link |
Functional Analysis |
Lecture 6 - Examples of Complete and Incomplete Metric Spaces |
Link |
Functional Analysis |
Lecture 7 - Completion of Metric Spaces + Tutorial |
Link |
Functional Analysis |
Lecture 8 - Vector Spaces with Examples |
Link |
Functional Analysis |
Lecture 9 - Normed Spaces with Examples |
Link |
Functional Analysis |
Lecture 10 - Banach Spaces and Schauder Basic |
Link |
Functional Analysis |
Lecture 11 - Finite Dimensional Normed Spaces and Subspaces |
Link |
Functional Analysis |
Lecture 12 - Compactness of Metric/Normed Spaces |
Link |
Functional Analysis |
Lecture 13 - Linear Operators-definition and Examples |
Link |
Functional Analysis |
Lecture 14 - Bounded Linear Operators in a Normed Space |
Link |
Functional Analysis |
Lecture 15 - Bounded Linear Functionals in a Normed Space |
Link |
Functional Analysis |
Lecture 16 - Concept of Algebraic Dual and Reflexive Space |
Link |
Functional Analysis |
Lecture 17 - Dual Basis & Algebraic Reflexive Space |
Link |
Functional Analysis |
Lecture 18 - Dual Spaces with Examples |
Link |
Functional Analysis |
Lecture 19 - Tutorial - I |
Link |
Functional Analysis |
Lecture 20 - Tutorial - II |
Link |
Functional Analysis |
Lecture 21 - Inner Product & Hilbert Space |
Link |
Functional Analysis |
Lecture 22 - Further Properties of Inner Product Spaces |
Link |
Functional Analysis |
Lecture 23 - Projection Theorem, Orthonormal Sets and Sequences |
Link |
Functional Analysis |
Lecture 24 - Representation of Functionals on a Hilbert Spaces |
Link |
Functional Analysis |
Lecture 25 - Hilbert Adjoint Operator |
Link |
Functional Analysis |
Lecture 26 - Self Adjoint, Unitary & Normal Operators |
Link |
Functional Analysis |
Lecture 27 - Tutorial - III |
Link |
Functional Analysis |
Lecture 28 - Annihilator in an IPS |
Link |
Functional Analysis |
Lecture 29 - Total Orthonormal Sets And Sequences |
Link |
Functional Analysis |
Lecture 30 - Partially Ordered Set and Zorns Lemma |
Link |
Functional Analysis |
Lecture 31 - Hahn Banach Theorem for Real Vector Spaces |
Link |
Functional Analysis |
Lecture 32 - Hahn Banach Theorem for Complex V.S. & Normed Spaces |
Link |
Functional Analysis |
Lecture 33 - Baires Category & Uniform Boundedness Theorems |
Link |
Functional Analysis |
Lecture 34 - Open Mapping Theorem |
Link |
Functional Analysis |
Lecture 35 - Closed Graph Theorem |
Link |
Functional Analysis |
Lecture 36 - Adjoint Operator |
Link |
Functional Analysis |
Lecture 37 - Strong and Weak Convergence |
Link |
Functional Analysis |
Lecture 38 - Convergence of Sequence of Operators and Functionals |
Link |
Functional Analysis |
Lecture 39 - LP - Space |
Link |
Functional Analysis |
Lecture 40 - LP - Space (Continued.) |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 1 - Motivation with few Examples |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 2 - Single - Step Methods for IVPs |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 3 - Analysis of Single Step Methods |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 4 - Runge - Kutta Methods for IVPs |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 5 - Higher Order Methods/Equations |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 6 - Error - Stability - Convergence of Single Step Methods |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 7 - Tutorial - I |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 8 - Tutorial - II |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 9 - Multi-Step Methods (Explicit) |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 10 - Multi-Step Methods (Implicit) |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 11 - Convergence and Stability of multi step methods |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 12 - General methods for absolute stability |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 13 - Stability Analysis of Multi Step Methods |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 14 - Predictor - Corrector Methods |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 15 - Some Comments on Multi - Step Methods |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 16 - Finite Difference Methods - Linear BVPs |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 17 - Linear/Non - Linear Second Order BVPs |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 18 - BVPS - Derivative Boundary Conditions |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 19 - Higher Order BVPs |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 20 - Shooting Method BVPs |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 21 - Tutorial - III |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 22 - Introduction to First Order PDE |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 23 - Introduction to Second Order PDE |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 24 - Finite Difference Approximations to Parabolic PDEs |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 25 - Implicit Methods for Parabolic PDEs |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 26 - Consistency, Stability and Convergence |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 27 - Other Numerical Methods for Parabolic PDEs |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 28 - Tutorial - IV |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 29 - Matrix Stability Analysis of Finite Difference Scheme |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 30 - Fourier Series Stability Analysis of Finite Difference Scheme |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 31 - Finite Difference Approximations to Elliptic PDEs - I |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 32 - Finite Difference Approximations to Elliptic PDEs - II |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 33 - Finite Difference Approximations to Elliptic PDEs - III |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 34 - Finite Difference Approximations to Elliptic PDEs - IV |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 35 - Finite Difference Approximations to Hyperbolic PDEs - I |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 36 - Finite Difference Approximations to Hyperbolic PDEs - II |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 37 - Method of characteristics for Hyperbolic PDEs - I |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 38 - Method of characterisitcs for Hyperbolic PDEs - II |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 39 - Finite Difference Approximations to 1st order Hyperbolic PDEs |
Link |
Numerical methods of Ordinary and Partial Differential Equations |
Lecture 40 - Summary, Appendices, Remarks |
Link |
Optimization |
Lecture 1 - Optimization - Introduction |
Link |
Optimization |
Lecture 2 - Formulation of LPP |
Link |
Optimization |
Lecture 3 - Geometry of LPP and Graphical Solution of LPP |
Link |
Optimization |
Lecture 4 - Solution of LPP : Simplex Method |
Link |
Optimization |
Lecture 5 - Big - M Method |
Link |
Optimization |
Lecture 6 - Two - Phase Method |
Link |
Optimization |
Lecture 7 - Special Cases in Simple Applications |
Link |
Optimization |
Lecture 8 - Introduction to Duality Theory |
Link |
Optimization |
Lecture 9 - Dual Simplex Method |
Link |
Optimization |
Lecture 10 - Post Optimaility Analysis |
Link |
Optimization |
Lecture 11 - Integer Programming - I |
Link |
Optimization |
Lecture 12 - Integer Programming - II |
Link |
Optimization |
Lecture 13 - Introduction to Transportation Problems |
Link |
Optimization |
Lecture 14 - Solving Various types of Transportation Problems |
Link |
Optimization |
Lecture 15 - Assignment Problems |
Link |
Optimization |
Lecture 16 - Project Management |
Link |
Optimization |
Lecture 17 - Critical Path Analysis |
Link |
Optimization |
Lecture 18 - PERT |
Link |
Optimization |
Lecture 19 - Shortest Path Algorithm |
Link |
Optimization |
Lecture 20 - Travelling Salesman Problem |
Link |
Optimization |
Lecture 21 - Classical optimization techniques : Single variable optimization |
Link |
Optimization |
Lecture 22 - Unconstarined multivariable optimization |
Link |
Optimization |
Lecture 23 - Nonlinear programming with equality constraint |
Link |
Optimization |
Lecture 24 - Nonlinear programming KKT conditions |
Link |
Optimization |
Lecture 25 - Numerical optimization : Region elimination techniques |
Link |
Optimization |
Lecture 26 - Numerical optimization : Region elimination techniques (Continued.) |
Link |
Optimization |
Lecture 27 - Fibonacci Method |
Link |
Optimization |
Lecture 28 - Golden Section Methods |
Link |
Optimization |
Lecture 29 - Interpolation Methods |
Link |
Optimization |
Lecture 30 - Unconstarined optimization techniques : Direct search method |
Link |
Optimization |
Lecture 31 - Unconstarined optimization techniques : Indirect search method |
Link |
Optimization |
Lecture 32 - Nonlinear programming : constrained optimization techniques |
Link |
Optimization |
Lecture 33 - Interior and Exterior penulty Function Method |
Link |
Optimization |
Lecture 34 - Separable Programming Problem |
Link |
Optimization |
Lecture 35 - Introduction to Geometric Programming |
Link |
Optimization |
Lecture 36 - Constrained Geometric Programming Problem |
Link |
Optimization |
Lecture 37 - Dynamic Programming Problem |
Link |
Optimization |
Lecture 38 - Dynamic Programming Problem (Continued.) |
Link |
Optimization |
Lecture 39 - Multi Objective Decision Making |
Link |
Optimization |
Lecture 40 - Multi attribute decision making |
Link |
Probability and Statistics |
Lecture 1 - Algebra of Sets - I |
Link |
Probability and Statistics |
Lecture 2 - Algebra of Sets - II |
Link |
Probability and Statistics |
Lecture 3 - Introduction to Probability |
Link |
Probability and Statistics |
Lecture 4 - Laws of Probability - I |
Link |
Probability and Statistics |
Lecture 5 - Laws of Probability - II |
Link |
Probability and Statistics |
Lecture 6 - Problems in Probability |
Link |
Probability and Statistics |
Lecture 7 - Random Variables |
Link |
Probability and Statistics |
Lecture 8 - Probability Distributions |
Link |
Probability and Statistics |
Lecture 9 - Characteristics of Distribution |
Link |
Probability and Statistics |
Lecture 10 - Special Distributions - I |
Link |
Probability and Statistics |
Lecture 11 - Special Distributions - II |
Link |
Probability and Statistics |
Lecture 12 - Special Distributions - III |
Link |
Probability and Statistics |
Lecture 13 - Special Distributions - IV |
Link |
Probability and Statistics |
Lecture 14 - Special Distributions - V |
Link |
Probability and Statistics |
Lecture 15 - Special Distributions - VI |
Link |
Probability and Statistics |
Lecture 16 - Special Distributions - VII |
Link |
Probability and Statistics |
Lecture 17 - Functions of a Random Variable |
Link |
Probability and Statistics |
Lecture 18 - Joint Distributions - I |
Link |
Probability and Statistics |
Lecture 19 - Joint Distributions - II |
Link |
Probability and Statistics |
Lecture 20 - Joint Distributions - III |
Link |
Probability and Statistics |
Lecture 21 - Joint Distributions - IV |
Link |
Probability and Statistics |
Lecture 22 - Transformations of Random Vectors |
Link |
Probability and Statistics |
Lecture 23 - Sampling Distributions - I |
Link |
Probability and Statistics |
Lecture 24 - Sampling Distributions - II |
Link |
Probability and Statistics |
Lecture 25 - Descriptive Statistics - I |
Link |
Probability and Statistics |
Lecture 26 - Descriptive Statistics - II |
Link |
Probability and Statistics |
Lecture 27 - Estimation - I |
Link |
Probability and Statistics |
Lecture 28 - Estimation - II |
Link |
Probability and Statistics |
Lecture 29 - Estimation - III |
Link |
Probability and Statistics |
Lecture 30 - Estimation - IV |
Link |
Probability and Statistics |
Lecture 31 - Estimation - V |
Link |
Probability and Statistics |
Lecture 32 - Estimation - VI |
Link |
Probability and Statistics |
Lecture 33 - Testing of Hypothesis - I |
Link |
Probability and Statistics |
Lecture 34 - Testing of Hypothesis - II |
Link |
Probability and Statistics |
Lecture 35 - Testing of Hypothesis - III |
Link |
Probability and Statistics |
Lecture 36 - Testing of Hypothesis - IV |
Link |
Probability and Statistics |
Lecture 37 - Testing of Hypothesis - V |
Link |
Probability and Statistics |
Lecture 38 - Testing of Hypothesis - VI |
Link |
Probability and Statistics |
Lecture 39 - Testing of Hypothesis - VII |
Link |
Probability and Statistics |
Lecture 40 - Testing of Hypothesis - VIII |
Link |
Regression Analysis |
Lecture 1 - Simple Linear Regression |
Link |
Regression Analysis |
Lecture 2 - Simple Linear Regression (Continued...1) |
Link |
Regression Analysis |
Lecture 3 - Simple Linear Regression (Continued...2) |
Link |
Regression Analysis |
Lecture 4 - Simple Linear Regression (Continued...3) |
Link |
Regression Analysis |
Lecture 5 - Simple Linear Regression (Continued...4) |
Link |
Regression Analysis |
Lecture 6 - Multiple Linear Regression |
Link |
Regression Analysis |
Lecture 7 - Multiple Linear Regression (Continued...1) |
Link |
Regression Analysis |
Lecture 8 - Multiple Linear Regression (Continued...2) |
Link |
Regression Analysis |
Lecture 9 - Multiple Linear Regression (Continued...3) |
Link |
Regression Analysis |
Lecture 10 - Selecting the BEST Regression model |
Link |
Regression Analysis |
Lecture 11 - Selecting the BEST Regression model (Continued...1) |
Link |
Regression Analysis |
Lecture 12 - Selecting the BEST Regression model (Continued...2) |
Link |
Regression Analysis |
Lecture 13 - Selecting the BEST Regression model (Continued...3) |
Link |
Regression Analysis |
Lecture 14 - Multicollinearity |
Link |
Regression Analysis |
Lecture 15 - Multicollinearity (Continued...1) |
Link |
Regression Analysis |
Lecture 16 - Multicollinearity (Continued...2) |
Link |
Regression Analysis |
Lecture 17 - Model Adequacy Checking |
Link |
Regression Analysis |
Lecture 18 - Model Adequacy Checking (Continued...1) |
Link |
Regression Analysis |
Lecture 19 - Model Adequacy Checking (Continued...2) |
Link |
Regression Analysis |
Lecture 20 - Test for Influential Observations |
Link |
Regression Analysis |
Lecture 21 - Transformations and Weighting to correct model inadequacies |
Link |
Regression Analysis |
Lecture 22 - Transformations and Weighting to correct model inadequacies (Continued...1) |
Link |
Regression Analysis |
Lecture 23 - Transformations and Weighting to correct model inadequacies (Continued...2) |
Link |
Regression Analysis |
Lecture 24 - Dummy Variables |
Link |
Regression Analysis |
Lecture 25 - Dummy Variables (Continued...1) |
Link |
Regression Analysis |
Lecture 26 - Dummy Variables (Continued...2) |
Link |
Regression Analysis |
Lecture 27 - Polynomial Regression Models |
Link |
Regression Analysis |
Lecture 28 - Polynomial Regression Models (Continued...1) |
Link |
Regression Analysis |
Lecture 29 - Polynomial Regression Models (Continued...2) |
Link |
Regression Analysis |
Lecture 30 - Generalized Linear Models |
Link |
Regression Analysis |
Lecture 31 - Generalized Linear Models (Continued.) |
Link |
Regression Analysis |
Lecture 32 - Non-Linear Estimation |
Link |
Regression Analysis |
Lecture 33 - Regression Models with Autocorrelated Errors |
Link |
Regression Analysis |
Lecture 34 - Regression Models with Autocorrelated Errors (Continued.) |
Link |
Regression Analysis |
Lecture 35 - Measurement Errors & Calibration Problem |
Link |
Regression Analysis |
Lecture 36 - Tutorial - I |
Link |
Regression Analysis |
Lecture 37 - Tutorial - II |
Link |
Regression Analysis |
Lecture 38 - Tutorial - III |
Link |
Regression Analysis |
Lecture 39 - Tutorial - IV |
Link |
Regression Analysis |
Lecture 40 - Tutorial - V |
Link |
Statistical Inference |
Lecture 1 - Introduction and Motivation |
Link |
Statistical Inference |
Lecture 2 - Basic Concepts of Point Estimations - I |
Link |
Statistical Inference |
Lecture 3 - Basic Concepts of Point Estimations - II |
Link |
Statistical Inference |
Lecture 4 - Finding Estimators - I |
Link |
Statistical Inference |
Lecture 5 - Finding Estimators - II |
Link |
Statistical Inference |
Lecture 6 - Finding Estimators - III |
Link |
Statistical Inference |
Lecture 7 - Properties of MLEs |
Link |
Statistical Inference |
Lecture 8 - Lower Bounds for Variance - I |
Link |
Statistical Inference |
Lecture 9 - Lower Bounds for Variance - II |
Link |
Statistical Inference |
Lecture 10 - Lower Bounds for Variance - III |
Link |
Statistical Inference |
Lecture 11 - Lower Bounds for Variance - IV |
Link |
Statistical Inference |
Lecture 12 - Sufficiency |
Link |
Statistical Inference |
Lecture 13 - Sufficiency and Information |
Link |
Statistical Inference |
Lecture 14 - Minimal Sufficiency, Completeness |
Link |
Statistical Inference |
Lecture 15 - UMVU Estimation, Ancillarity |
Link |
Statistical Inference |
Lecture 16 - Invariance - I |
Link |
Statistical Inference |
Lecture 17 - Invariance - II |
Link |
Statistical Inference |
Lecture 18 - Bayes and Minimax Estimation - I |
Link |
Statistical Inference |
Lecture 19 - Bayes and Minimax Estimation - II |
Link |
Statistical Inference |
Lecture 20 - Bayes and Minimax Estimation - III |
Link |
Statistical Inference |
Lecture 21 - Testing of Hypotheses : Basic Concepts |
Link |
Statistical Inference |
Lecture 22 - Neyman Pearson Fundamental Lemma |
Link |
Statistical Inference |
Lecture 23 - Applications of NP lemma |
Link |
Statistical Inference |
Lecture 24 - UMP Tests |
Link |
Statistical Inference |
Lecture 25 - UMP Tests (Continued.) |
Link |
Statistical Inference |
Lecture 26 - UMP Unbiased Tests |
Link |
Statistical Inference |
Lecture 27 - UMP Unbiased Tests (Continued.) |
Link |
Statistical Inference |
Lecture 28 - UMP Unbiased Tests : Applications |
Link |
Statistical Inference |
Lecture 29 - Unbiased Tests for Normal Populations |
Link |
Statistical Inference |
Lecture 30 - Unbiased Tests for Normal Populations (Continued.) |
Link |
Statistical Inference |
Lecture 31 - Likelihood Ratio Tests - I |
Link |
Statistical Inference |
Lecture 32 - Likelihood Ratio Tests - II |
Link |
Statistical Inference |
Lecture 33 - Likelihood Ratio Tests - III |
Link |
Statistical Inference |
Lecture 34 - Likelihood Ratio Tests - IV |
Link |
Statistical Inference |
Lecture 35 - Invariant Tests |
Link |
Statistical Inference |
Lecture 36 - Test for Goodness of Fit |
Link |
Statistical Inference |
Lecture 37 - Sequential Procedure |
Link |
Statistical Inference |
Lecture 38 - Sequential Procedure (Continued.) |
Link |
Statistical Inference |
Lecture 39 - Confidence Intervals |
Link |
Statistical Inference |
Lecture 40 - Confidence Intervals (Continued.) |
Link |
A Basic Course in Real Analysis |
Lecture 1 - Rational Numbers and Rational Cuts |
Link |
A Basic Course in Real Analysis |
Lecture 2 - Irrational numbers, Dedekind's Theorem |
Link |
A Basic Course in Real Analysis |
Lecture 3 - Continuum and Exercises |
Link |
A Basic Course in Real Analysis |
Lecture 4 - Continuum and Exercises (Continued.) |
Link |
A Basic Course in Real Analysis |
Lecture 5 - Cantor's Theory of Irrational Numbers |
Link |
A Basic Course in Real Analysis |
Lecture 6 - Cantor's Theory of Irrational Numbers (Continued.) |
Link |
A Basic Course in Real Analysis |
Lecture 7 - Equivalence of Dedekind and Cantor's Theory |
Link |
A Basic Course in Real Analysis |
Lecture 8 - Finite, Infinite, Countable and Uncountable Sets of Real Numbers |
Link |
A Basic Course in Real Analysis |
Lecture 9 - Types of Sets with Examples, Metric Space |
Link |
A Basic Course in Real Analysis |
Lecture 10 - Various properties of open set, closure of a set |
Link |
A Basic Course in Real Analysis |
Lecture 11 - Ordered set, Least upper bound, greatest lower bound of a set |
Link |
A Basic Course in Real Analysis |
Lecture 12 - Compact Sets and its properties |
Link |
A Basic Course in Real Analysis |
Lecture 13 - Weiersstrass Theorem, Heine Borel Theorem, Connected set |
Link |
A Basic Course in Real Analysis |
Lecture 14 - Tutorial - II |
Link |
A Basic Course in Real Analysis |
Lecture 15 - Concept of limit of a sequence |
Link |
A Basic Course in Real Analysis |
Lecture 16 - Some Important limits, Ratio tests for sequences of Real Numbers |
Link |
A Basic Course in Real Analysis |
Lecture 17 - Cauchy theorems on limit of sequences with examples |
Link |
A Basic Course in Real Analysis |
Lecture 18 - Fundamental theorems on limits, Bolzano-Weiersstrass Theorem |
Link |
A Basic Course in Real Analysis |
Lecture 19 - Theorems on Convergent and divergent sequences |
Link |
A Basic Course in Real Analysis |
Lecture 20 - Cauchy sequence and its properties |
Link |
A Basic Course in Real Analysis |
Lecture 21 - Infinite series of real numbers |
Link |
A Basic Course in Real Analysis |
Lecture 22 - Comparison tests for series, Absolutely convergent and Conditional convergent series |
Link |
A Basic Course in Real Analysis |
Lecture 23 - Tests for absolutely convergent series |
Link |
A Basic Course in Real Analysis |
Lecture 24 - Raabe's test, limit of functions, Cluster point |
Link |
A Basic Course in Real Analysis |
Lecture 25 - Some results on limit of functions |
Link |
A Basic Course in Real Analysis |
Lecture 26 - Limit Theorems for functions |
Link |
A Basic Course in Real Analysis |
Lecture 27 - Extension of limit concept (one sided limits) |
Link |
A Basic Course in Real Analysis |
Lecture 28 - Continuity of Functions |
Link |
A Basic Course in Real Analysis |
Lecture 29 - Properties of Continuous Functions |
Link |
A Basic Course in Real Analysis |
Lecture 30 - Boundedness Theorem, Max-Min Theorem and Bolzano's theorem |
Link |
A Basic Course in Real Analysis |
Lecture 31 - Uniform Continuity and Absolute Continuity |
Link |
A Basic Course in Real Analysis |
Lecture 32 - Types of Discontinuities, Continuity and Compactness |
Link |
A Basic Course in Real Analysis |
Lecture 33 - Continuity and Compactness (Continued.), Connectedness |
Link |
A Basic Course in Real Analysis |
Lecture 34 - Differentiability of real valued function, Mean Value Theorem |
Link |
A Basic Course in Real Analysis |
Lecture 35 - Mean Value Theorem (Continued.) |
Link |
A Basic Course in Real Analysis |
Lecture 36 - Application of MVT , Darboux Theorem, L Hospital Rule |
Link |
A Basic Course in Real Analysis |
Lecture 37 - L'Hospital Rule and Taylor's Theorem |
Link |
A Basic Course in Real Analysis |
Lecture 38 - Tutorial - III |
Link |
A Basic Course in Real Analysis |
Lecture 39 - Riemann/Riemann Stieltjes Integral |
Link |
A Basic Course in Real Analysis |
Lecture 40 - Existence of Reimann Stieltjes Integral |
Link |
A Basic Course in Real Analysis |
Lecture 41 - Properties of Reimann Stieltjes Integral |
Link |
A Basic Course in Real Analysis |
Lecture 42 - Properties of Reimann Stieltjes Integral (Continued.) |
Link |
A Basic Course in Real Analysis |
Lecture 43 - Definite and Indefinite Integral |
Link |
A Basic Course in Real Analysis |
Lecture 44 - Fundamental Theorems of Integral Calculus |
Link |
A Basic Course in Real Analysis |
Lecture 45 - Improper Integrals |
Link |
A Basic Course in Real Analysis |
Lecture 46 - Convergence Test for Improper Integrals |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 1 - Foundations of Probability |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 2 - Laws of Probability |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 3 - Random Variables |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 4 - Moments and Special Distributions |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 5 - Moments and Special Distributions (Continued...) |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 6 - Special Distributions (Continued...) |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 7 - Special Distributions (Continued...) |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 8 - Sampling Distributions |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 9 - Parametric Methods - I |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 10 - Parametric Methods - II |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 11 - Parametric Methods - III |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 12 - Parametric Methods - IV |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 13 - Parametric Methods - V |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 14 - Parametric Methods - VI |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 15 - Parametric Methods - VII |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 16 - Multivariate Analysis - I |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 17 - Multivariate Analysis - II |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 18 - Multivariate Analysis - III |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 19 - Multivariate Analysis - IV |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 20 - Multivariate Analysis - V |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 21 - Multivariate Analysis - VI |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 22 - Multivariate Analysis - VII |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 23 - Multivariate Analysis - VIII |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 24 - Multivariate Analysis - IX |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 25 - Multivariate Analysis - X |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 26 - Multivariate Analysis - XI |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 27 - Multivariate Analysis - XII |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 28 - Non parametric Methods - I |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 29 - Non parametric Methods - II |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 30 - Non parametric Methods - III |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 31 - Non parametric Methods - IV |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 32 - Nonparametric Methods - V |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 33 - Nonparametric Methods - VI |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 34 - Nonparametric Methods - VII |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 35 - Nonparametric Methods - VIII |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 36 - Nonparametric Methods - IX |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 37 - Nonparametric Methods - X |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 38 - Nonparametric Methods - XI |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 39 - Nonparametric Methods - XII |
Link |
Statistical Methods for Scientists and Engineers |
Lecture 40 - Nonparametric Methods - XIII |
Link |
NOC:Probability and Statistics |
Lecture 1 - Sets, Classes, Collection |
Link |
NOC:Probability and Statistics |
Lecture 2 - Sequence of Sets |
Link |
NOC:Probability and Statistics |
Lecture 3 - Ring, Field (Algebra) |
Link |
NOC:Probability and Statistics |
Lecture 4 - Sigma-Ring, Sigma-Field, Monotone Class |
Link |
NOC:Probability and Statistics |
Lecture 5 - Random Experiment, Events |
Link |
NOC:Probability and Statistics |
Lecture 6 - Definitions of Probability |
Link |
NOC:Probability and Statistics |
Lecture 7 - Properties of Probability Function - I |
Link |
NOC:Probability and Statistics |
Lecture 8 - Properties of Probability Function - II |
Link |
NOC:Probability and Statistics |
Lecture 9 - Conditional Probability |
Link |
NOC:Probability and Statistics |
Lecture 10 - Independence of Events |
Link |
NOC:Probability and Statistics |
Lecture 11 - Problems in Probability - I |
Link |
NOC:Probability and Statistics |
Lecture 12 - Problems in Probability - II |
Link |
NOC:Probability and Statistics |
Lecture 13 - Random Variables |
Link |
NOC:Probability and Statistics |
Lecture 14 - Probability Distribution of a Random Variable - I |
Link |
NOC:Probability and Statistics |
Lecture 15 - Probability Distribution of a Random Variable - II |
Link |
NOC:Probability and Statistics |
Lecture 16 - Moments |
Link |
NOC:Probability and Statistics |
Lecture 17 - Characteristics of Distributions - I |
Link |
NOC:Probability and Statistics |
Lecture 18 - Characteristics of Distributions - II |
Link |
NOC:Probability and Statistics |
Lecture 19 - Special Discrete Distributions - I |
Link |
NOC:Probability and Statistics |
Lecture 20 - Special Discrete Distributions - II |
Link |
NOC:Probability and Statistics |
Lecture 21 - Special Discrete Distributions - III |
Link |
NOC:Probability and Statistics |
Lecture 22 - Poisson Process - I |
Link |
NOC:Probability and Statistics |
Lecture 23 - Poisson Process - II |
Link |
NOC:Probability and Statistics |
Lecture 24 - Special Continuous Distributions - I |
Link |
NOC:Probability and Statistics |
Lecture 25 - Special Continuous Distributions - II |
Link |
NOC:Probability and Statistics |
Lecture 26 - Special Continuous Distributions - III |
Link |
NOC:Probability and Statistics |
Lecture 27 - Special Continuous Distributions - IV |
Link |
NOC:Probability and Statistics |
Lecture 28 - Special Continuous Distributions - V |
Link |
NOC:Probability and Statistics |
Lecture 29 - Normal Distribution |
Link |
NOC:Probability and Statistics |
Lecture 30 - Problems on Normal Distribution |
Link |
NOC:Probability and Statistics |
Lecture 31 - Problems on Special Distributions - I |
Link |
NOC:Probability and Statistics |
Lecture 32 - Problems on Special Distributions - II |
Link |
NOC:Probability and Statistics |
Lecture 33 - Function of a random variable - I |
Link |
NOC:Probability and Statistics |
Lecture 34 - Function of a random variable - II |
Link |
NOC:Probability and Statistics |
Lecture 35 - Joint Distributions - I |
Link |
NOC:Probability and Statistics |
Lecture 36 - Joint Distributions - II |
Link |
NOC:Probability and Statistics |
Lecture 37 - Independence, Product Moments |
Link |
NOC:Probability and Statistics |
Lecture 38 - Linearity Property of Correlation and Examples |
Link |
NOC:Probability and Statistics |
Lecture 39 - Bivariate Normal Distribution - I |
Link |
NOC:Probability and Statistics |
Lecture 40 - Bivariate Normal Distribution - II |
Link |
NOC:Probability and Statistics |
Lecture 41 - Additive Properties of Distributions - I |
Link |
NOC:Probability and Statistics |
Lecture 42 - Additive Properties of Distributions - II |
Link |
NOC:Probability and Statistics |
Lecture 43 - Transformation of Random Variables |
Link |
NOC:Probability and Statistics |
Lecture 44 - Distribution of Order Statistics |
Link |
NOC:Probability and Statistics |
Lecture 45 - Basic Concepts |
Link |
NOC:Probability and Statistics |
Lecture 46 - Chi-Square Distribution |
Link |
NOC:Probability and Statistics |
Lecture 47 - Chi-Square Distribution (Continued...), t-Distribution |
Link |
NOC:Probability and Statistics |
Lecture 48 - F-Distribution |
Link |
NOC:Probability and Statistics |
Lecture 49 - Descriptive Statistics - I |
Link |
NOC:Probability and Statistics |
Lecture 50 - Descriptive Statistics - II |
Link |
NOC:Probability and Statistics |
Lecture 51 - Descriptive Statistics - III |
Link |
NOC:Probability and Statistics |
Lecture 52 - Descriptive Statistics - IV |
Link |
NOC:Probability and Statistics |
Lecture 53 - Introduction to Estimation |
Link |
NOC:Probability and Statistics |
Lecture 54 - Unbiased and Consistent Estimators |
Link |
NOC:Probability and Statistics |
Lecture 55 - LSE, MME |
Link |
NOC:Probability and Statistics |
Lecture 56 - Examples on MME, MLE |
Link |
NOC:Probability and Statistics |
Lecture 57 - Examples on MLE - I |
Link |
NOC:Probability and Statistics |
Lecture 58 - Examples on MLE - II, MSE |
Link |
NOC:Probability and Statistics |
Lecture 59 - UMVUE, Sufficiency, Completeness |
Link |
NOC:Probability and Statistics |
Lecture 60 - Rao - Blackwell Theorem and Its Applications |
Link |
NOC:Probability and Statistics |
Lecture 61 - Confidence Intervals - I |
Link |
NOC:Probability and Statistics |
Lecture 62 - Confidence Intervals - II |
Link |
NOC:Probability and Statistics |
Lecture 63 - Confidence Intervals - III |
Link |
NOC:Probability and Statistics |
Lecture 64 - Confidence Intervals - IV |
Link |
NOC:Probability and Statistics |
Lecture 65 - Basic Definitions |
Link |
NOC:Probability and Statistics |
Lecture 66 - Two Types of Errors |
Link |
NOC:Probability and Statistics |
Lecture 67 - Neyman-Pearson Fundamental Lemma |
Link |
NOC:Probability and Statistics |
Lecture 68 - Applications of N-P Lemma - I |
Link |
NOC:Probability and Statistics |
Lecture 69 - Applications of N-P Lemma - II |
Link |
NOC:Probability and Statistics |
Lecture 70 - Testing for Normal Mean |
Link |
NOC:Probability and Statistics |
Lecture 71 - Testing for Normal Variance |
Link |
NOC:Probability and Statistics |
Lecture 72 - Large Sample Test for Variance and Two Sample Problem |
Link |
NOC:Probability and Statistics |
Lecture 73 - Paired t-Test |
Link |
NOC:Probability and Statistics |
Lecture 74 - Examples |
Link |
NOC:Probability and Statistics |
Lecture 75 - Testing Equality of Proportions |
Link |
NOC:Probability and Statistics |
Lecture 76 - Chi-Square Test for Goodness Fit - I |
Link |
NOC:Probability and Statistics |
Lecture 77 - Chi-Square Test for Goodness Fit - II |
Link |
NOC:Probability and Statistics |
Lecture 78 - Testing for Independence in rxc Contingency Table - I |
Link |
NOC:Probability and Statistics |
Lecture 79 - Testing for Independence in rxc Contingency Table - II |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 1 - Introduction to Multivariate Statistical Modeling |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 2 - Introduction to Multivariate Statistical Modeling: Data types, models, and modeling |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 3 - Statistical approaches to model building |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 4 - Statistical approaches to model building (Continued...) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 5 - Univariate Descriptive Statistics |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 6 - Univariate Descriptive Statistics (Continued...) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 7 - Normal Distribution and Chi-squared Distribution |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 8 - t-distribution, F-distribution, and Central Limit Theorem |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 9 - Univariate Inferential Statistics: Estimation |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 10 - Univariate Inferential Statistics: Estimation (Continued...) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 11 - Univariate Inferential Statistics: Hypothesis Testing |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 12 - Hypothesis Testing (Continued...): Decision Making Scenarios |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 13 - Multivariate Descriptive Statistics: Mean Vector |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 14 - Multivariate Descriptive Statistics: Covariance Matrix |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 15 - Multivariate Descriptive Statistics: Correlation Matrix |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 16 - Multivariate Descriptive Statistics: Relationship between correlation and covariance matrices |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 17 - Multivariate Normal Distribution |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 18 - Multivariate Normal Distribution (Continued...) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 19 - Multivariate Normal Distribution (Continued...): Geometrical Interpretation |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 20 - Multivariate Normal Distribution (Continued...): Examining data for multivariate normal distribution |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 21 - Multivariate Inferential Statistics: Basics and Hotelling T-square statistic |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 22 - Multivariate Inferential Statistics: Confidence Region |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 23 - Multivariate Inferential Statistics: Simultaneous confidence interval and Hypothesis testing |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 24 - Multivariate Inferential Statistics: Hypothesis testing for equality of two population mean vectors |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 25 - Analysis of Variance (ANOVA) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 26 - Analysis of Variance (ANOVA): Decomposition of Total sum of squares |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 27 - Analysis of Variance (ANOVA): Estimation of Parameters and Model Adequacy tests |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 28 - Two-way and Three-way Analysis of Variance (ANOVA) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 29 - Tutorial ANOVA |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 30 - Tutorial ANOVA (Continued...) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 31 - Multivariate Analysis of Variance (MANOVA): Conceptual Model |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 32 - Multivariate Analysis of Variance (MANOVA): Assumptions and Decomposition of total sum square and cross products (SSCP) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 33 - Multivariate Analysis of Variance (MANOVA): Decomposition of total sum square and cross products (SSCP) (Continued...) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 34 - Multivariate Analysis of Variance (MANOVA): Estimation and Hypothesis testing |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 35 - MANOVA Case Study |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 36 - Multiple Linear Regression: Introduction |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 37 - Multiple Linear Regression: Assumptions and Estimation of model parameters |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 38 - Multiple Linear Regression: Sampling Distribution of parameter estimates |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 39 - Multiple Linear Regression: Sampling Distribution of parameter estimates (Continued...) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 40 - Multiple Linear Regression: Model Adequacy Tests |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 41 - Multiple Linear Regression: Model Adequacy Tests (Continued...) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 42 - Multiple Linear Regression: Test of Assumptions |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 43 - MLR-Model diagnostics |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 44 - MLR-case study |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 45 - Multivariate Linear Regression: Conceptual model and assumptions |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 46 - Multivariate Linear Regression: Estimation of parameters |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 47 - Multivariate Linear Regression: Estimation of parameters (Continued...) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 48 - Multiple Linear Regression: Sampling Distribution of parameter estimates |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 49 - Multivariate Linear Regression: Model Adequacy Tests |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 50 - Multiple Linear Regression: Model Adequacy Tests (Continued...) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 51 - Regression modeling using SPSS |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 52 - Principal Component Analysis (PCA): Conceptual Model |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 53 - Principal Component Analysis (PCA): Extraction of Principal components (PCs) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 54 - Principal Component Analysis (PCA): Model Adequacy and Interpretation |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 55 - Principal Component Analysis (PCA): Model Adequacy and Interpretation (Continued...) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 56 - Factor Analysis: Basics and Orthogonal factor models |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 57 - Factor Analysis: Types of models and key questions |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 58 - Factor Analysis: Parameter Estimation |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 59 - Factor Analysis: Parameter Estimation (Continued...) |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 60 - Factor Analysis: Model Adequacy tests and factor rotation |
Link |
NOC:Applied Multivariate Statistical Modeling |
Lecture 61 - Factor Analysis: Factor scores and case study |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 1 - Introduction to PDE |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 2 - Classification of PDE |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 3 - Principle of Linear Superposition |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 4 - Standard Eigen Value Problem and Special ODEs |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 5 - Adjoint Operator |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 6 - Generalized Sturm - Louiville Problem |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 7 - Properties of Adjoint Operator |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 8 - Separation of Variables: Rectangular Coordinate Systems |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 9 - Solution of 3 Dimensional Parabolic Problem |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 10 - Solution of 4 Dimensional Parabolic problem |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 11 - Solution of 4 Dimensional Parabolic Problem (Continued...) |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 12 - Solution of Elliptical PDE |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 13 - Solution of Hyperbolic PDE |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 14 - Orthogonality of Bessel Function and 2 Dimensional Cylindrical Coordinate System |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 15 - Cylindrical Co-ordinate System - 3 Dimensional Problem |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 16 - Spherical Polar Coordinate System |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 17 - Spherical Polar Coordinate System (Continued...) |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 18 - Example of Generalized 3 Dimensional Problem |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 19 - Example of Application Oriented Problems |
Link |
NOC:Partial Differential Equations (PDE) for Engineers - Solution by Separation of Variables |
Lecture 20 - Examples of Application Oriented Problems (Continued...) |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 1 - Countable and Uncountable sets |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 2 - Properties of Countable and Uncountable sets |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 3 - Examples of Countable and Uncountable sets |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 4 - Concepts of Metric Space |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 5 - Open ball, Closed ball, Limit point of a set |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 6 - Tutorial-I |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 7 - Some theorems on Open and Closed sets |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 8 - Ordered set, Least upper bound, Greatest lower bound of a set |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 9 - Ordered set, Least upper bound, Greatest lower bound of a set (Continued...) |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 10 - Compact Set |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 11 - Properties of Compact sets |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 12 - Tutorial-II |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 13 - Heine Borel Theorem |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 14 - Weierstrass Theorem |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 15 - Cantor set and its properties |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 16 - Derived set and Dense set |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 17 - Limit of a sequence and monotone sequence |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 18 - Tutorial-III |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 19 - Some Important limits of sequences |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 20 - Ratio Test Cauchys theorems on limits of sequences of real numbers |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 21 - Fundamental theorems on limits |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 22 - Some results on limits and Bolzano-Weierstrass Theorem |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 23 - Criteria for convergent sequence |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 24 - Tutorial-IV |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 25 - Criteria for Divergent Sequence |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 26 - Cauchy Sequence |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 27 - Cauchy Convergence Criteria for Sequences |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 28 - Infinite Series of Real Numbers |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 29 - Convergence Criteria for Series of Positive Real Numbers |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 30 - Tutorial-V |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 31 - Comparison Test for Series |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 32 - Absolutely and Conditionally Convergent Series |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 33 - Rearrangement Theorem and Test for Convergence of Series |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 34 - Ratio and Integral Test for Convergence of Series |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 35 - Raabe's Test for Convergence of Series |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 36 - Tutorial-VI |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 37 - Limit of Functions and Cluster Point |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 38 - Limit of Functions (Continued...) |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 39 - Divergence Criteria for Limit |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 40 - Various Properties of Limit of Functions |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 41 - Left and Right Hand Limits for Functions |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 42 - Tutorial-VII |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 43 - Limit of Functions at Infinity |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 44 - Continuous Functions (Cauchy's Definition) |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 45 - Continuous Functions (Heine's Definition) |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 46 - Properties of Continuous Functions |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 47 - Properties of Continuous Functions (Continued...) |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 48 - Tutorial-VIII |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 49 - Boundness Theorem and Max-Min Theorem |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 50 - Location of Root and Bolzano's Theorem |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 51 - Uniform Continuity and Related Theorems |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 52 - Absolute Continuity and Related Theorems |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 53 - Types of Discontinuities |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 54 - Tutorial-IX |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 55 - Types of Discontinuities (Continued...) |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 56 - Relation between Continuity and Compact Sets |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 57 - Differentiability of Real Valued Functions |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 58 - Local Max. - Min. Cauchy's and Lagrange's Mean Value Theorem |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 59 - Rolle's Mean Value Theorems and Its Applications |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 60 - Tutorial-X |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 61 |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 62 |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 63 |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 64 |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 65 |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 66 |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 67 |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 68 |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 69 |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 70 |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 71 |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 72 |
Link |
NOC:Introductory Course in Real Analysis |
Lecture 73 |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 1 - Preliminary concepts: Fluid kinematics, stress, strain |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 2 - Cauchys equation of motion and Navier-Stokes equations |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 3 - Reduced forms of Navier-Stokes equations and Boundary conditions |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 4 - Exact solutions of Navier-Stokes equations in particular cases |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 5 - Dimensional Analysis Non-dimensionalization of Navier-Stokess equations |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 6 - Stream function formulation of Navier-Stokes equations |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 7 - Stokes flow past a cylinder |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 8 - Stokes flow past a sphere |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 9 - Elementary Lubrication Theory |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 10 - Hydrodynamics of Squeeze flow |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 11 - Solution of arbitrary Stokes flows |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 12 - Mechanics of Swimming Microorganisms |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 13 - Viscous flow past a spherical drop |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 14 - Migration of a viscous drop under Marangoni effects |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 15 - Singularities of Stokes flows |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 16 - Introduction to porous media |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 17 - Flow through porous media elementary geometries |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 18 - Flow through composite porous channels |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 19 - Modeling transport of particles inside capillaries |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 20 - Modeling transport of microparticles some applications |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 21 - Introduction to Elctrokietics |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 22 - Basics on Electrostatics |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 23 - Transport Equations for Electrokinetics, Part-I |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 24 - Transport Equations for Electrokinetics, Part-II |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 25 - Electric Double Layer |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 26 - Electroosmotic flow (EOF) of ionized fluid |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 27 - EOF in micro-channel |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 28 - Non-linear EOF, Overlapping Debye Layer |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 29 - Two-dimensional EOF |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 30 - EOF near heterogeneous surface potential |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 31 - Electroosmosis in hydrophobic surface |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 32 - Numerical Methods for Boundary Value Problems (BVP) |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 33 - Numerical Methods for nonlinear BVP |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 34 - Numerical Methods for coupled set of BVP |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 35 - Numerical Methods for PDEs |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 36 - Numerical Methods for transport equations, Part-I |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 37 - Numerical Methods for transport equations, Part-II |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 38 - Electrophoresis of charged colloids, Part-I |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 39 - Electrophoresis of charged colloids, Part-II |
Link |
NOC:Modeling Transport Phenomena of Microparticles |
Lecture 40 - Gel Electrophoresis |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 1 - Introduction to Optimization |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 2 - Assumptions and Mathematical Modeling of LPP |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 3 - Geometrey of LPP |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 4 - Graphical Solution of LPP - I |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 5 - Graphical Solution of LPP - II |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 6 - Solution of LPP: Simplex Method |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 7 - Simplex Method |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 8 - Introduction to BIG-M Method |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 9 - Algorithm of BIG-M Method |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 10 - Problems on BIG-M Method |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 11 - Two Phase Method: Introduction |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 12 - Two Phase Method: Problem Solution |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 13 - Special Cases of LPP |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 14 - Degeneracy in LPP |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 15 - Sensitivity Analysis - I |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 16 - Sensitivity Analysis - II |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 17 - Problems on Sensitivity Analysis |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 18 - Introduction to Duality Theory - I |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 19 - Introduction to Duality Theory - II |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 20 - Dual Simplex Method |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 21 - Examples on Dual Simplex Method |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 22 - Interger Linear Programming |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 23 - Interger Linear Programming |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 24 - IPP: Branch and BBound Method |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 25 - Mixed Integer Programming Problem |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 26 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 27 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 28 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 29 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 30 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 31 - Introduction to Nonlinear programming |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 32 - Graphical Solution of NLP |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 33 - Types of NLP |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 34 - One dimentional unconstrained optimization |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 35 - Unconstrained Optimization |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 36 - Region Elimination Technique - 1 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 37 - Region Elimination Technique - 2 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 38 - Region Elimination Technique - 3 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 39 - Unconstrained Optimization |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 40 - Unconstrained Optimization |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 41 - Multivariate Unconstrained Optimization - 1 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 42 - Multivariate Unconstrained Optimization - 2 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 43 - Unconstrained Optimization |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 44 - NLP with Equality Constrained - 1 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 45 - NLP with Equality Constrained - 2 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 46 - Constrained NLP - 1 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 47 - Constrained NLP - 2 |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 48 - Constrained Optimization |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 49 - Constrained Optimization |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 50 - KKT |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 51 - Constrained Optimization |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 52 - Constrained Optimization |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 53 - Feasible Direction |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 54 - Penalty and barrier method |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 55 - Penalty method |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 56 - Penalty and barrier method |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 57 - Penalty and barrier method |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 58 - Dynamic programming |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 59 - Multi-Objective decision making |
Link |
NOC:Constrained and Unconstrained Optimization |
Lecture 60 - Multi-Attribute decision making |
Link |
NOC:Matrix Solver |
Lecture 1 - Introduction to Matrix Algebra - I |
Link |
NOC:Matrix Solver |
Lecture 2 - Introduction to Matrix Algebra - II |
Link |
NOC:Matrix Solver |
Lecture 3 - System of Linear Equations |
Link |
NOC:Matrix Solver |
Lecture 4 - Determinant of a Matrix |
Link |
NOC:Matrix Solver |
Lecture 5 - Determinant of a Matrix (Continued...) |
Link |
NOC:Matrix Solver |
Lecture 6 - Gauss Elimination |
Link |
NOC:Matrix Solver |
Lecture 7 - Gauss Elimination (Continued...) |
Link |
NOC:Matrix Solver |
Lecture 8 - LU Decomposition |
Link |
NOC:Matrix Solver |
Lecture 9 - Gauss-Jordon Method |
Link |
NOC:Matrix Solver |
Lecture 10 - Representation of Physical Systems as Matrix Equations |
Link |
NOC:Matrix Solver |
Lecture 11 - Tridiagonal Matrix Algorithm |
Link |
NOC:Matrix Solver |
Lecture 12 - Equations with Singular Matrices |
Link |
NOC:Matrix Solver |
Lecture 13 - Introduction to Vector Space |
Link |
NOC:Matrix Solver |
Lecture 14 - Vector Subspace |
Link |
NOC:Matrix Solver |
Lecture 15 - Column Space and Nullspace of a Matrix |
Link |
NOC:Matrix Solver |
Lecture 16 - Finding Null Space of a Matrix |
Link |
NOC:Matrix Solver |
Lecture 17 - Solving Ax=b when A is Singular |
Link |
NOC:Matrix Solver |
Lecture 18 - Linear Independence and Spanning of a Subspace |
Link |
NOC:Matrix Solver |
Lecture 19 - Basis and Dimension of a Vector Space |
Link |
NOC:Matrix Solver |
Lecture 20 - Four Fundamental Subspaces of a Matrix |
Link |
NOC:Matrix Solver |
Lecture 21 - Left and right inverse of a matrix |
Link |
NOC:Matrix Solver |
Lecture 22 - Orthogonality between the subspaces |
Link |
NOC:Matrix Solver |
Lecture 23 - Best estimate |
Link |
NOC:Matrix Solver |
Lecture 24 - Projection operation and linear transformation |
Link |
NOC:Matrix Solver |
Lecture 25 - Creating orthogonal basis vectors |
Link |
NOC:Matrix Solver |
Lecture 26 - Gram-Schmidt and modified Gram-Schmidt algorithms |
Link |
NOC:Matrix Solver |
Lecture 27 - Comparing GS and modified GS |
Link |
NOC:Matrix Solver |
Lecture 28 - Introduction to eigenvalues and eigenvectors |
Link |
NOC:Matrix Solver |
Lecture 29 - Eigenvlues and eigenvectors for real symmetric matrix |
Link |
NOC:Matrix Solver |
Lecture 30 - Positive definiteness of a matrix |
Link |
NOC:Matrix Solver |
Lecture 31 - Positive definiteness of a matrix (Continued...) |
Link |
NOC:Matrix Solver |
Lecture 32 - Basic Iterative Methods: Jacobi and Gauss-Siedel |
Link |
NOC:Matrix Solver |
Lecture 33 - Basic Iterative Methods: Matrix Representation |
Link |
NOC:Matrix Solver |
Lecture 34 - Convergence Rate and Convergence Factor for Iterative Methods |
Link |
NOC:Matrix Solver |
Lecture 35 - Numerical Experiments on Convergence |
Link |
NOC:Matrix Solver |
Lecture 36 - Steepest Descent Method: Finding Minima of a Functional |
Link |
NOC:Matrix Solver |
Lecture 37 - Steepest Descent Method: Gradient Search |
Link |
NOC:Matrix Solver |
Lecture 38 - Steepest Descent Method: Algorithm and Convergence |
Link |
NOC:Matrix Solver |
Lecture 39 - Introduction to General Projection Methods |
Link |
NOC:Matrix Solver |
Lecture 40 - Residue Norm and Minimum Residual Algorithm |
Link |
NOC:Matrix Solver |
Lecture 41 - Developing computer programs for basic iterative methods |
Link |
NOC:Matrix Solver |
Lecture 42 - Developing computer programs for projection based methods |
Link |
NOC:Matrix Solver |
Lecture 43 - Introduction to Krylov subspace methods |
Link |
NOC:Matrix Solver |
Lecture 44 - Krylov subspace methods for linear systems |
Link |
NOC:Matrix Solver |
Lecture 45 - Iterative methods for solving linear systems using Krylov subspace methods |
Link |
NOC:Matrix Solver |
Lecture 46 - Conjugate gradient methods |
Link |
NOC:Matrix Solver |
Lecture 47 - Conjugate gradient methods (Continued...) |
Link |
NOC:Matrix Solver |
Lecture 48 - Conjugate gradient methods (Continued...) and Introduction to GMRES |
Link |
NOC:Matrix Solver |
Lecture 49 - GMRES (Continued...) |
Link |
NOC:Matrix Solver |
Lecture 50 - Lanczos Biorthogonalization and BCG Algorithm |
Link |
NOC:Matrix Solver |
Lecture 51 - Numerical issues in BICG and polynomial based formulation |
Link |
NOC:Matrix Solver |
Lecture 52 - Conjugate gradient squared and Biconjugate gradient stabilized |
Link |
NOC:Matrix Solver |
Lecture 53 - Line relaxation method |
Link |
NOC:Matrix Solver |
Lecture 54 - Block relaxation method |
Link |
NOC:Matrix Solver |
Lecture 55 - Domain Decomposition and Parallel Computing |
Link |
NOC:Matrix Solver |
Lecture 56 - Preconditioners |
Link |
NOC:Matrix Solver |
Lecture 57 - Preconditioned conjugate gradient |
Link |
NOC:Matrix Solver |
Lecture 58 - Preconditioned GMRES |
Link |
NOC:Matrix Solver |
Lecture 59 - Multigrid methods - I |
Link |
NOC:Matrix Solver |
Lecture 60 - Multigrid methods - II |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 1 - Set Theory |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 2 - Set Operations |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 3 - Set Operations (Continued...) |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 4 - Set of sets |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 5 - Binary relation |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 6 - Equivalence relation |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 7 - Mapping |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 8 - Permutation |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 9 - Binary Composition |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 10 - Groupoid |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 11 - Group |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 12 - Order of an element |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 13 - Subgroup |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 14 - Cyclic Group |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 15 - Subgroup Operations |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 16 - Left Cosets |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 17 - Right Cosets |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 18 - Normal Subgroup |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 19 - Rings |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 20 - Field |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 21 - Vector Spaces |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 22 - Sub-Spaces |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 23 - Linear Span |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 24 - Basis of a Vector Space |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 25 - Dimension of a Vector space |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 26 - Complement of subspace |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 27 - Linear Transformation |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 28 - Linear Transformation (Continued...) |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 29 - More on linear mapping |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 30 - Linear Space |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 31 - Rank of a matrix |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 32 - Rank of a matrix (Continued...) |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 33 - System of linear equations |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 34 - Row rank and Column rank |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 35 - Eigen value of a matrix |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 36 - Eigen Vector |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 37 - Geometric multiplicity |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 38 - More on eigen value |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 39 - Similar matrices |
Link |
NOC:Introduction to Abstract and Linear Algebra |
Lecture 40 - Diagonalisable |
Link |
NOC:Engineering Mathematics-I |
Lecture 1 - Rolle’s Theorem |
Link |
NOC:Engineering Mathematics-I |
Lecture 2 - Mean Value Theorems |
Link |
NOC:Engineering Mathematics-I |
Lecture 3 - Indeterminate Forms - Part 1 |
Link |
NOC:Engineering Mathematics-I |
Lecture 4 - Indeterminate Forms - Part 2 |
Link |
NOC:Engineering Mathematics-I |
Lecture 5 - Taylor Polynomial and Taylor Series |
Link |
NOC:Engineering Mathematics-I |
Lecture 6 - Limit of Functions of Two Variables |
Link |
NOC:Engineering Mathematics-I |
Lecture 7 - Evaluation of Limit of Functions of Two Variables |
Link |
NOC:Engineering Mathematics-I |
Lecture 8 - Continuity of Functions of Two Variables |
Link |
NOC:Engineering Mathematics-I |
Lecture 9 - Partial Derivatives of Functions of Two Variables |
Link |
NOC:Engineering Mathematics-I |
Lecture 10 - Partial Derivatives of Higher Order |
Link |
NOC:Engineering Mathematics-I |
Lecture 11 - Derivative and Differentiability |
Link |
NOC:Engineering Mathematics-I |
Lecture 12 - Differentiability of Functions of Two Variables |
Link |
NOC:Engineering Mathematics-I |
Lecture 13 - Differentiability of Functions of Two Variables (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 14 - Differentiability of Functions of Two Variables (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 15 - Composite and Homogeneous Functions |
Link |
NOC:Engineering Mathematics-I |
Lecture 16 - Taylor’s Theorem for Functions of Two Variables |
Link |
NOC:Engineering Mathematics-I |
Lecture 17 - Maxima and Minima of Functions of Two Variables |
Link |
NOC:Engineering Mathematics-I |
Lecture 18 - Maxima and Minima of Functions of Two Variables (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 19 - Maxima and Minima of Functions of Two Variables (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 20 - Constrained Maxima and Minima |
Link |
NOC:Engineering Mathematics-I |
Lecture 21 - Improper Integrals |
Link |
NOC:Engineering Mathematics-I |
Lecture 22 - Improper Integrals (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 23 - Improper Integrals (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 24 - Improper Integrals (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 25 - Beta and Gamma Function |
Link |
NOC:Engineering Mathematics-I |
Lecture 26 - Beta and Gamma Function (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 27 - Differentiation Under Integral Sign |
Link |
NOC:Engineering Mathematics-I |
Lecture 28 - Double Integrals |
Link |
NOC:Engineering Mathematics-I |
Lecture 29 - Double Integrals (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 30 - Double Integrals (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 31 - Integral Calculus Double Integrals in Polar Form |
Link |
NOC:Engineering Mathematics-I |
Lecture 32 - Integral Calculus Double Integrals: Change of Variables |
Link |
NOC:Engineering Mathematics-I |
Lecture 33 - Integral Calculus Double Integrals: Surface Area |
Link |
NOC:Engineering Mathematics-I |
Lecture 34 - Integral Calculus Triple Integrals |
Link |
NOC:Engineering Mathematics-I |
Lecture 35 - Integral Calculus Triple Integrals (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 36 - System of Linear Equations |
Link |
NOC:Engineering Mathematics-I |
Lecture 37 - System of Linear Equations Gauss Elimination |
Link |
NOC:Engineering Mathematics-I |
Lecture 38 - System of Linear Equations Gauss Elimination (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 39 - Linear Algebra - Vector Spaces |
Link |
NOC:Engineering Mathematics-I |
Lecture 40 - Linear Independence of Vectors |
Link |
NOC:Engineering Mathematics-I |
Lecture 41 - Vector Spaces Spanning Set |
Link |
NOC:Engineering Mathematics-I |
Lecture 42 - Vector Spaces Basis and Dimension |
Link |
NOC:Engineering Mathematics-I |
Lecture 43 - Rank of a Matrix |
Link |
NOC:Engineering Mathematics-I |
Lecture 44 - Linear Transformations |
Link |
NOC:Engineering Mathematics-I |
Lecture 45 - Linear Transformations (Continued....) |
Link |
NOC:Engineering Mathematics-I |
Lecture 46 - Eigenvalues and Eigenvectors |
Link |
NOC:Engineering Mathematics-I |
Lecture 47 - Eigenvalues and Eigenvectors (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 48 - Eigenvalues and Eigenvectors (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 49 - Eigenvalues and Eigenvectors (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 50 - Eigenvalues and Eigenvectors: Diagonalization |
Link |
NOC:Engineering Mathematics-I |
Lecture 51 - Differential Equations - Introduction |
Link |
NOC:Engineering Mathematics-I |
Lecture 52 - First Order Differential Equations |
Link |
NOC:Engineering Mathematics-I |
Lecture 53 - Exact Differential Equations |
Link |
NOC:Engineering Mathematics-I |
Lecture 54 - Exact Differential Equations (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 55 - First Order Linear Differential Equations |
Link |
NOC:Engineering Mathematics-I |
Lecture 56 - Higher Order Linear Differential Equations |
Link |
NOC:Engineering Mathematics-I |
Lecture 57 - Solution of Higher Order Homogeneous Linear Equations |
Link |
NOC:Engineering Mathematics-I |
Lecture 58 - Solution of Higher Order Non-Homogeneous Linear Equations |
Link |
NOC:Engineering Mathematics-I |
Lecture 59 - Solution of Higher Order Non-Homogeneous Linear Equations (Continued...) |
Link |
NOC:Engineering Mathematics-I |
Lecture 60 - Cauchy-Euler Equations |
Link |
NOC:Integral and Vector Calculus |
Lecture 1 - Partition, Riemann intergrability and One example |
Link |
NOC:Integral and Vector Calculus |
Lecture 2 - Partition, Riemann intergrability and One example (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 3 - Condition of integrability |
Link |
NOC:Integral and Vector Calculus |
Lecture 4 - Theorems on Riemann integrations |
Link |
NOC:Integral and Vector Calculus |
Lecture 5 - Examples |
Link |
NOC:Integral and Vector Calculus |
Lecture 6 - Examples (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 7 - Reduction formula |
Link |
NOC:Integral and Vector Calculus |
Lecture 8 - Reduction formula (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 9 - Improper Integral |
Link |
NOC:Integral and Vector Calculus |
Lecture 10 - Improper Integral (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 11 - Improper Integral (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 12 - Improper Integral (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 13 - Introduction to Beta and Gamma Function |
Link |
NOC:Integral and Vector Calculus |
Lecture 14 - Beta and Gamma Function |
Link |
NOC:Integral and Vector Calculus |
Lecture 15 - Differentiation under Integral Sign |
Link |
NOC:Integral and Vector Calculus |
Lecture 16 - Differentiation under Integral Sign (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 17 - Double Integral |
Link |
NOC:Integral and Vector Calculus |
Lecture 18 - Double Integral over a Region E |
Link |
NOC:Integral and Vector Calculus |
Lecture 19 - Examples of Integral over a Region E |
Link |
NOC:Integral and Vector Calculus |
Lecture 20 - Change of variables in a Double Integral |
Link |
NOC:Integral and Vector Calculus |
Lecture 21 - Change of order of Integration |
Link |
NOC:Integral and Vector Calculus |
Lecture 22 - Triple Integral |
Link |
NOC:Integral and Vector Calculus |
Lecture 23 - Triple Integral (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 24 - Area of Plane Region |
Link |
NOC:Integral and Vector Calculus |
Lecture 25 - Area of Plane Region (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 26 - Rectification |
Link |
NOC:Integral and Vector Calculus |
Lecture 27 - Rectification (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 28 - Surface Integral |
Link |
NOC:Integral and Vector Calculus |
Lecture 29 - Surface Integral (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 30 - Surface Integral (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 31 - Volume Integral, Gauss Divergence Theorem |
Link |
NOC:Integral and Vector Calculus |
Lecture 32 - Vector Calculus |
Link |
NOC:Integral and Vector Calculus |
Lecture 33 - Limit, Continuity, Differentiability |
Link |
NOC:Integral and Vector Calculus |
Lecture 34 - Successive Differentiation |
Link |
NOC:Integral and Vector Calculus |
Lecture 35 - Integration of Vector Function |
Link |
NOC:Integral and Vector Calculus |
Lecture 36 - Gradient of a Function |
Link |
NOC:Integral and Vector Calculus |
Lecture 37 - Divergence and Curl |
Link |
NOC:Integral and Vector Calculus |
Lecture 38 - Divergence and Curl Examples |
Link |
NOC:Integral and Vector Calculus |
Lecture 39 - Divergence and Curl important Identities |
Link |
NOC:Integral and Vector Calculus |
Lecture 40 - Level Surface Relevant Theorems |
Link |
NOC:Integral and Vector Calculus |
Lecture 41 - Directional Derivative (Concept and Few Results) |
Link |
NOC:Integral and Vector Calculus |
Lecture 42 - Directional Derivative (Concept and Few Results) (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 43 - Directional Derivatives, Level Surfaces |
Link |
NOC:Integral and Vector Calculus |
Lecture 44 - Application to Mechanics |
Link |
NOC:Integral and Vector Calculus |
Lecture 45 - Equation of Tangent, Unit Tangent Vector |
Link |
NOC:Integral and Vector Calculus |
Lecture 46 - Unit Normal, Unit binormal, Equation of Normal Plane |
Link |
NOC:Integral and Vector Calculus |
Lecture 47 - Introduction and Derivation of Serret-Frenet Formula, few results |
Link |
NOC:Integral and Vector Calculus |
Lecture 48 - Example on binormal, normal tangent, Serret-Frenet Formula |
Link |
NOC:Integral and Vector Calculus |
Lecture 49 - Osculating Plane, Rectifying plane, Normal plane |
Link |
NOC:Integral and Vector Calculus |
Lecture 50 - Application to Mechanics, Velocity, speed, acceleration |
Link |
NOC:Integral and Vector Calculus |
Lecture 51 - Angular Momentum, Newton's Law |
Link |
NOC:Integral and Vector Calculus |
Lecture 52 - Example on derivation of equation of motion of particle |
Link |
NOC:Integral and Vector Calculus |
Lecture 53 - Line Integral |
Link |
NOC:Integral and Vector Calculus |
Lecture 54 - Surface integral |
Link |
NOC:Integral and Vector Calculus |
Lecture 55 - Surface integral (Continued...) |
Link |
NOC:Integral and Vector Calculus |
Lecture 56 - Green's Theorem and Example |
Link |
NOC:Integral and Vector Calculus |
Lecture 57 - Volume integral, Gauss theorem |
Link |
NOC:Integral and Vector Calculus |
Lecture 58 - Gauss divergence theorem |
Link |
NOC:Integral and Vector Calculus |
Lecture 59 - Stoke's Theorem |
Link |
NOC:Integral and Vector Calculus |
Lecture 60 - Overview of Course |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 1 - Introduction to Integral Transform and Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 2 - Existence of Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 3 - Shifting Properties of Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 4 - Laplace Transform of Derivatives and Integration of a Function - I |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 5 - Laplace Transform of Derivatives and Integration of a Function - II |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 6 - Explanation of properties of Laplace Transform using Examples |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 7 - Laplace Transform of Periodic Function |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 8 - Laplace Transform of some special Functions |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 9 - Error Function, Dirac Delta Function and their Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 10 - Bessel Function and its Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 11 - Introduction to Inverse Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 12 - Properties of Inverse Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 13 - Convolution and its Applications |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 14 - Evaluation of Integrals using Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 15 - Solution of Ordinary Differential Equations with constant coefficients using Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 16 - Solution of Ordinary Differential Equations with variable coefficients using Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 17 - Solution of Simultaneous Ordinary Differential Equations using Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 18 - Introduction to Integral Equation and its Solution Process |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 19 - Introduction to Fourier Series |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 20 - Fourier Series for Even and Odd Functions |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 21 - Fourier Series of Functions having arbitrary period - I |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 22 - Fourier Series of Functions having arbitrary period - II |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 23 - Half Range Fourier Series |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 24 - Parseval's Theorem and its Applications |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 25 - Complex form of Fourier Series |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 26 - Fourier Integral Representation |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 27 - Introduction to Fourier Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 28 - Derivation of Fourier Cosine Transform and Fourier Sine Transform of Functions |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 29 - Evaluation of Fourier Transform of various functions |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 30 - Linearity Property and Shifting Properties of Fourier Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 31 - Change of Scale and Modulation Properties of Fourier Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 32 - Fourier Transform of Derivative and Integral of a Function |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 33 - Applications of Properties of Fourier Transform - I |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 34 - Applications of Properties of Fourier Transform - II |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 35 - Fourier Transform of Convolution of two functions |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 36 - Parseval's Identity and its Application |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 37 - Evaluation of Definite Integrals using Properties of Fourier Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 38 - Fourier Transform of Dirac Delta Function |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 39 - Representation of a function as Fourier Integral |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 40 - Applications of Fourier Transform to Ordinary Differential Equations - I |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 41 - Applications of Fourier Transform to Ordinary Differential Equations - II |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 42 - Solution of Integral Equations using Fourier Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 43 - Introduction to Partial Differential Equations |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 44 - Solution of Partial Differential Equations using Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 45 - Solution of Heat Equation and Wave Equation using Laplace Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 46 - Criteria for choosing Fourier Transform, Fourier Sine Transform, Fourier Cosine Transform in solving Partial Differential Equations |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 47 - Solution of Partial Differential Equations using Fourier Cosine Transform and Fourier Sine Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 48 - Solution of Partial Differential Equations using Fourier Transform - I |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 49 - Solution of Partial Differential Equations using Fourier Transform - II |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 50 - Solving problems on Partial Differential Equations using Transform Techniques |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 51 - Introduction to Finite Fourier Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 52 - Solution of Boundary Value Problems using Finite Fourier Transform - I |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 53 - Solution of Boundary Value Problems using Finite Fourier Transform - II |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 54 - Introduction to Mellin Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 55 - Properties of Mellin Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 56 - Examples of Mellin Transform - I |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 57 - Examples of Mellin Transform - II |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 58 - Introduction to Z-Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 59 - Properties of Z-Transform |
Link |
NOC:Transform Calculus and its applications in Differential Equations |
Lecture 60 - Evaluation of Z-Transform of some functions |
Link |
NOC:Statistical Inference (2019) |
Lecture 1 - Introduction and Motivation - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 2 - Introduction and Motivation - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 3 - Basic Concepts of Point Estimations - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 4 - Basic Concepts of Point Estimations - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 5 - Basic Concepts of Point Estimations - III |
Link |
NOC:Statistical Inference (2019) |
Lecture 6 - Basic Concepts of Point Estimations - IV |
Link |
NOC:Statistical Inference (2019) |
Lecture 7 - Finding Estimators - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 8 - Finding Estimators - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 9 - Finding Estimators - III |
Link |
NOC:Statistical Inference (2019) |
Lecture 10 - Finding Estimators - IV |
Link |
NOC:Statistical Inference (2019) |
Lecture 11 - Finding Estimators - V |
Link |
NOC:Statistical Inference (2019) |
Lecture 12 - Finding Estimators - VI |
Link |
NOC:Statistical Inference (2019) |
Lecture 13 - Properties of MLEs - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 14 - Properties of MLEs - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 15 - Lower Bounds for Variance - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 16 - Lower Bounds for Variance - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 17 - Lower Bounds for Variance - III |
Link |
NOC:Statistical Inference (2019) |
Lecture 18 - Lower Bounds for Variance - IV |
Link |
NOC:Statistical Inference (2019) |
Lecture 19 - Lower Bounds for Variance - V |
Link |
NOC:Statistical Inference (2019) |
Lecture 20 - Lower Bounds for Variance - VI |
Link |
NOC:Statistical Inference (2019) |
Lecture 21 - Lower Bounds for Variance - VII |
Link |
NOC:Statistical Inference (2019) |
Lecture 22 - Lower Bounds for Variance - VIII |
Link |
NOC:Statistical Inference (2019) |
Lecture 23 - Sufficiency - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 24 - Sufficiency - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 25 - Sufficiency and Information - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 26 - Sufficiency and Information - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 27 - Minimal Sufficiency, Completeness - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 28 - Minimal Sufficiency, Completeness - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 29 - UMVU Estimation, Ancillarity - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 30 - UMVU Estimation, Ancillarity - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 31 - Testing of Hypotheses : Basic Concepts - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 32 - Testing of Hypotheses : Basic Concepts - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 33 - Neyman Pearson Fundamental Lemma - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 34 - Neyman Pearson Fundamental Lemma - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 35 - Application of NP-Lemma - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 36 - Application of NP-Lemma - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 37 - UMP Tests - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 38 - UMP Tests - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 39 - UMP Tests - III |
Link |
NOC:Statistical Inference (2019) |
Lecture 40 - UMP Tests - IV |
Link |
NOC:Statistical Inference (2019) |
Lecture 41 - UMP Unbiased Tests - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 42 - UMP Unbiased Tests - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 43 - UMP Unbiased Tests - III |
Link |
NOC:Statistical Inference (2019) |
Lecture 44 - UMP Unbiased Tests - IV |
Link |
NOC:Statistical Inference (2019) |
Lecture 45 - Applications of UMP Unbiased Tests - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 46 - Applications of UMP Unbiased Tests - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 47 - Unbiased Test for Normal Populations - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 48 - Unbiased Test for Normal Populations - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 49 - Unbiased Test for Normal Populations - III |
Link |
NOC:Statistical Inference (2019) |
Lecture 50 - Unbiased Test for Normal Populations - IV |
Link |
NOC:Statistical Inference (2019) |
Lecture 51 - Likelihood Ratio Tests - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 52 - Likelihood Ratio Tests - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 53 - Likelihood Ratio Tests - III |
Link |
NOC:Statistical Inference (2019) |
Lecture 54 - Likelihood Ratio Tests - IV |
Link |
NOC:Statistical Inference (2019) |
Lecture 55 - Likelihood Ratio Tests - V |
Link |
NOC:Statistical Inference (2019) |
Lecture 56 - Likelihood Ratio Tests - VI |
Link |
NOC:Statistical Inference (2019) |
Lecture 57 - Likelihood Ratio Tests - VII |
Link |
NOC:Statistical Inference (2019) |
Lecture 58 - Likelihood Ratio Tests - VIII |
Link |
NOC:Statistical Inference (2019) |
Lecture 59 - Test for Goodness of Fit - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 60 - Test for Goodness of Fit - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 61 - Interval Estimation - I |
Link |
NOC:Statistical Inference (2019) |
Lecture 62 - Interval Estimation - II |
Link |
NOC:Statistical Inference (2019) |
Lecture 63 - Interval Estimation - III |
Link |
NOC:Statistical Inference (2019) |
Lecture 64 - Interval Estimation - IV |
Link |
NOC:Mathematical Methods for Boundary Value Problems |
Lecture 1 - Strum-Liouville Problems, Linear BVP |
Link |
NOC:Mathematical Methods for Boundary Value Problems |
Lecture 2 - Strum-Liouville Problems, Linear BVP (Continued...) |
Link |
NOC:Mathematical Methods for Boundary Value Problems |
Lecture 3 - Solution of BVPs by Eigen function expansion |
Link |
NOC:Mathematical Methods for Boundary Value Problems |
Lecture 4 - Solution of BVPs by Eigen function expansion (Continued...) |
Link |
NOC:Mathematical Methods for Boundary Value Problems |
Lecture 5 - Solutions of linear parabolic, hyperbolic and elliptic PDEs with finite domain by Eigen function expansions |
Link |
NOC:Mathematical Methods for Boundary Value Problems |
Lecture 6 - Solutions of linear parabolic, hyperbolic and elliptic PDEs with finite domain by Eigen function expansions (Continued...) |
Link |
NOC:Mathematical Methods for Boundary Value Problems |
Lecture 7 - Green's Function for BVP and Dirichlet Problem |
Link |
NOC:Mathematical Methods for Boundary Value Problems |
Lecture 8 - Green's Function for BVP and Dirichlet Problem (Continued...) |
Link |
NOC:Mathematical Methods for Boundary Value Problems |
Lecture 9 - Numerical Techniques for IVP; Shooting Method for BVP |
Link |
NOC:Mathematical Methods for Boundary Value Problems |
Lecture 10 - Numerical Techniques for IVP; Shooting Method for BVP (Continued...) |
Link |
NOC:Mathematical Methods for Boundary Value Prob |