Link | NPTEL Course Name | NPTEL Lecture Title |
---|---|---|

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 Krullâ€™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 - Nagataâ€™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 - Hilbertâ€™s Nullstelensatz |

Link | NOC:Commutative Algebra | Lecture 21 - Computational rules for PoincarÃ© Series |

Link | NOC:Commutative Algebra | Lecture 22 - Graded Rings, Modules and PoincarÃ© 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 Krullâ€™s Principal Ideal Theorem |

Link | NOC:Commutative Algebra | Lecture 33 - Second proof of Krullâ€™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 - Gaussâ€™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,â€¦,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 | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 1 - Welcome Speech |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 2 - Preliminaries from Banach spaces |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 3 - Differentiation on Banach spaces |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 4 - Preliminaries from one-variable real analysis |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 5 - Implicit and Inverse function theorems |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 6 - Compact Hausdorff spaces |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 7 - Local Compactness |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 8 - Local Compactness (Continued...) |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 9 - The retraction functor k(X) |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 10 - Compactly generated spaces |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 11 - Paracompactness |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 12 - Partition of Unity |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 13 - Paracompactness (Continued...) |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 14 - Paracompactness (Continued...) |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 15 - Various Notions of Compactness |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 16 - Total Boundedness |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 17 - Arzel`a- Ascoli Theorem |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 18 - Generalities on Compactification |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 19 - Alexandroffâ's compactifiction |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 20 - Proper maps |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 21 - Stone-Cech compactification |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 22 - Stone-Weierstrassâ's Theorems |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 23 - Real Stone-Weierstrass Theorem |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 24 - Complex and extended Stone-Weierstrass theorem |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 25 - (Missing) |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 26 - Urysohnâ's Metrization theorem |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 27 - Nagata Smyrnov Metrization theorem |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 28 - Nets |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 29 - Cofinal families subnets |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 30 - Basics of Filters |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 31 - Convergence Properties of Filters |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 32 - Ultrafilters and Tychonoffâ's theorem |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 33 - Ultraclosed filters |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 34 - Wallman compactification |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 35 - Wallman compactification (Continued...) |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 36 - Global Separation of Sets |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 37 - More examples |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 38 - Knaster-Kuratowski Example |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 39 - Separation of Sets (Continued...) |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 40 - Definition of dimension and examples |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 41 - Dimensions of subspaces and Unions |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 42 - Sum theorem for higher dimensions |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 43 - Analytic Proof of Brouwerâ's Fixed Point Theorem |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 44 - Local Separation to Global Separation |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 45 - Partially Ordered sets |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 46 - Principle of Transfinite Induction |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 47 - Order topology |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 48 - Ordinals |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 49 - Ordinal Topology (Continued...) |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 50 - The Long Line |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 51 - Motivation and definition |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 52 - The Exponential Correspondence |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 53 - An Application to Quotient Maps |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 54 - Groups of Homeomoprhisms |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 55 - Definition and Exampels of Manifolds |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 56 - Manifolds with Boundary |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 57 - Homogeneity |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 58 - Homogeneity (Continued...) |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 59 - Classification of 1-dim. manifolds |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 60 - Classification of 1-dim. Manifolds (Continued...) |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 61 - Surfaces |

Link | NOC:An Introduction to Point-Set-Topology - Part II | Lecture 62 - Connected Sum |

Link | NOC:Fourier Analysis and its Applications | Lecture 1 - Genesis and a little history |

Link | NOC:Fourier Analysis and its Applications | Lecture 2 - Basic convergence theorem |

Link | NOC:Fourier Analysis and its Applications | Lecture 3 - Riemann Lebesgue Lemma |

Link | NOC:Fourier Analysis and its Applications | Lecture 4 - The ubiquitous Gaussian |

Link | NOC:Fourier Analysis and its Applications | Lecture 5 - Jacobi theta function identity |

Link | NOC:Fourier Analysis and its Applications | Lecture 6 - The Riemann zeta function |

Link | NOC:Fourier Analysis and its Applications | Lecture 7 - Bessel's functions of the first kind |

Link | NOC:Fourier Analysis and its Applications | Lecture 8 - Least square approximation |

Link | NOC:Fourier Analysis and its Applications | Lecture 9 - Parseval formula. Isoperimetric theorem |

Link | NOC:Fourier Analysis and its Applications | Lecture 10 - Dirichlet problem for a disc |

Link | NOC:Fourier Analysis and its Applications | Lecture 11 - The Poisson kernel |

Link | NOC:Fourier Analysis and its Applications | Lecture 12 - Cesaro summability and Fejer's theorem |

Link | NOC:Fourier Analysis and its Applications | Lecture 13 - Fejer's theorem (Continued...) |

Link | NOC:Fourier Analysis and its Applications | Lecture 14 - Kronecker's theorem |

Link | NOC:Fourier Analysis and its Applications | Lecture 15 - Weyl's equidistribution theorem |

Link | NOC:Fourier Analysis and its Applications | Lecture 16 - Borel's theorem and beyond |

Link | NOC:Fourier Analysis and its Applications | Lecture 17 - Fourier transform and Schwartz space |

Link | NOC:Fourier Analysis and its Applications | Lecture 18 - Hermite's differential equation |

Link | NOC:Fourier Analysis and its Applications | Lecture 19 - Fourier inversion theorem Riemann Lebesgue lemma |

Link | NOC:Fourier Analysis and its Applications | Lecture 20 - Plancherel's Theorem |

Link | NOC:Fourier Analysis and its Applications | Lecture 21 - Heat equation. The heat kernel |

Link | NOC:Fourier Analysis and its Applications | Lecture 22 - The Airy's function |

Link | NOC:Fourier Analysis and its Applications | Lecture 23 - Exercises on Fourier Transform |

Link | NOC:Fourier Analysis and its Applications | Lecture 24 - Principle of equipartitioning of energy |

Link | NOC:Fourier Analysis and its Applications | Lecture 25 - A formula of Srinivasa Ramanujan |

Link | NOC:Fourier Analysis and its Applications | Lecture 26 - Sturm Liouville problems. Orthogonal systems |

Link | NOC:Fourier Analysis and its Applications | Lecture 27 - Vibrations of a circular membrane |

Link | NOC:Fourier Analysis and its Applications | Lecture 28 - Fourier Bessel Series |

Link | NOC:Fourier Analysis and its Applications | Lecture 29 - Properties of Legendre Polynomials |

Link | NOC:Fourier Analysis and its Applications | Lecture 30 - Properties of Legendre polynomials (Continued...) |

Link | NOC:Fourier Analysis and its Applications | Lecture 31 - Legendre polynomials - interlacing of zeros |

Link | NOC:Fourier Analysis and its Applications | Lecture 32 - Laplace's integrals for Legendre polynomials |

Link | NOC:Fourier Analysis and its Applications | Lecture 33 - Regular Sturm-Liouville problems |

Link | NOC:Fourier Analysis and its Applications | Lecture 34 - Variational properties of eigen-values |

Link | NOC:Fourier Analysis and its Applications | Lecture 35 - The Dirichlet principle |

Link | NOC:Fourier Analysis and its Applications | Lecture 36 - Regular Sturm-Liouville problems - Existence of eigen-values |

Link | NOC:Fourier Analysis and its Applications | Lecture 37 - The Bergman space |

Link | NOC:Fourier Analysis and its Applications | Lecture 38 - The Banach Steinhaus' Theorem |

Link | NOC:Fourier Analysis and its Applications | Lecture 39 - Hilbert space basics |

Link | NOC:Fourier Analysis and its Applications | Lecture 40 - Completeness of Hermite functions |

Link | NOC:Fourier Analysis and its Applications | Lecture 41 - Hermite, Laugerre and Tchebycheff's polynomials |

Link | NOC:Fourier Analysis and its Applications | Lecture 42 - Orthonormal bases in Hilbert spaces |

Link | NOC:Fourier Analysis and its Applications | Lecture 43 - Non-separable Hilbert-spaces. Almost periodic functions |

Link | NOC:Fourier Analysis and its Applications | Lecture 44 - Hilbert-Schmidt operators. Green's functions |

Link | NOC:Fourier Analysis and its Applications | Lecture 45 - Spectrum of a bounded linear operator |

Link | NOC:Fourier Analysis and its Applications | Lecture 46 - Weak (sequential) compactness of the closed unit ball |

Link | NOC:Fourier Analysis and its Applications | Lecture 47 - Compact self-adjoint operators. Existence of eigen values |

Link | NOC:Fourier Analysis and its Applications | Lecture 48 - Compact self-adjoint operators. Existence of eigen values (Continued...) |

Link | NOC:Fourier Analysis and its Applications | Lecture 49 - Celestial Mechanics |

Link | NOC:Fourier Analysis and its Applications | Lecture 50 - Inverting the Kepler equation using Fourier series |

Link | NOC:Fourier Analysis and its Applications | Lecture 51 - Odds and Ends |

Link | NOC:Fourier Analysis and its Applications | Lecture 52 - Dirichlet's Theorem on Fourier Series |

Link | NOC:Fourier Analysis and its Applications | Lecture 53 - Dirichlet's Theorem on Fourier Series (Continued...) |

Link | NOC:Fourier Analysis and its Applications | Lecture 54 - Topology on the Schwartz space |

Link | NOC:Fourier Analysis and its Applications | Lecture 55 - Examples of tempered distributions |

Link | NOC:Fourier Analysis and its Applications | Lecture 56 - Operations on distributions |

Link | NOC:Fourier Analysis and its Applications | Lecture 57 - Fourier Transform of tempered distribution |

Link | NOC:Fourier Analysis and its Applications | Lecture 58 - Support of a Distribution. Distributions with point support |

Link | NOC:Fourier Analysis and its Applications | Lecture 59 - Distributional solutions of ODEs. Continuity of the Fourier transform and differentiation |

Link | NOC:Fourier Analysis and its Applications | Lecture 60 - The Poisson summation formula |

Link | NOC:Numerical Analysis (2023) | Lecture 1 - Introduction |

Link | NOC:Numerical Analysis (2023) | Lecture 2 - Mathematical Preliminaries: Taylor Approximation |

Link | NOC:Numerical Analysis (2023) | Lecture 3 - Mathematical Preliminaries: Order of Convergence |

Link | NOC:Numerical Analysis (2023) | Lecture 4 - Arithmetic Error: Floating-point Approximation |

Link | NOC:Numerical Analysis (2023) | Lecture 5 - Arithmetic Error: Significant Digits |

Link | NOC:Numerical Analysis (2023) | Lecture 6 - Arithmetic Error: Condition Number and Stable Computation |

Link | NOC:Numerical Analysis (2023) | Lecture 7 - Tutorial Session-1: Problem Solving |

Link | NOC:Numerical Analysis (2023) | Lecture 8 - Python Coding: Introduction |

Link | NOC:Numerical Analysis (2023) | Lecture 9 - Linear Systems: Gaussian Elimination Method |

Link | NOC:Numerical Analysis (2023) | Lecture 10 - Linear Systems: LU-Factorization (Doolittle and Crout) |

Link | NOC:Numerical Analysis (2023) | Lecture 11 - Linear Systems: LU-Factorization (Cholesky) |

Link | NOC:Numerical Analysis (2023) | Lecture 12 - Linear Systems: Operation Count for Direct Methods |

Link | NOC:Numerical Analysis (2023) | Lecture 13 - Tutorial Session-2: Python Coding for Naive Gaussian Elimination Method |

Link | NOC:Numerical Analysis (2023) | Lecture 14 - Tutorial Session-3: Python Coding for Thomas Algorithm |

Link | NOC:Numerical Analysis (2023) | Lecture 15 - Matrix Norms: Subordinate Matrix Norms |

Link | NOC:Numerical Analysis (2023) | Lecture 16 - Matrix Norms: Condition Number of a Matrix |

Link | NOC:Numerical Analysis (2023) | Lecture 17 - Iterative Methods: Jacobi Method |

Link | NOC:Numerical Analysis (2023) | Lecture 18 - Iterative Methods: Convergence of Jacobi Method |

Link | NOC:Numerical Analysis (2023) | Lecture 19 - Iterative Methods: Gauss-Seidel Method |

Link | NOC:Numerical Analysis (2023) | Lecture 20 - Iterative Methods: Convergence Analysis of Iterative Methods |

Link | NOC:Numerical Analysis (2023) | Lecture 21 - Iterative Methods: Successive Over Relaxation Method |

Link | NOC:Numerical Analysis (2023) | Lecture 22 - Tutorial Session-4: Python implementation of Jacobi Method |

Link | NOC:Numerical Analysis (2023) | Lecture 23 - Eigenvalues and Eigenvectors: Power Method (Construction) |

Link | NOC:Numerical Analysis (2023) | Lecture 24 - Eigenvalues and Eigenvectors: Power Method (Convergence Theorem) |

Link | NOC:Numerical Analysis (2023) | Lecture 25 - Eigenvalues and Eigenvectors: Gerschgorin's Theorem and Applications |

Link | NOC:Numerical Analysis (2023) | Lecture 26 - Eigenvalues and Eigenvectors: Power Method (Inverse and Shifted Methods) |

Link | NOC:Numerical Analysis (2023) | Lecture 27 - Nonlinear Equations: Overview |

Link | NOC:Numerical Analysis (2023) | Lecture 28 - Nonlinear Equations: Bisection Method |

Link | NOC:Numerical Analysis (2023) | Lecture 29 - Tutorial Session-5: Implementation of Bisection Method |

Link | NOC:Numerical Analysis (2023) | Lecture 30 - Nonlinear Equations: Regula-falsi and Secant Methods |

Link | NOC:Numerical Analysis (2023) | Lecture 31 - Nonlinear Equations: Convergence Theorem of Secant Method |

Link | NOC:Numerical Analysis (2023) | Lecture 32 - Nonlinear Equations: Newton-Raphson's method |

Link | NOC:Numerical Analysis (2023) | Lecture 33 - Nonlinear Equations: Newton-Raphson's method (Convergence Theorem) |

Link | NOC:Numerical Analysis (2023) | Lecture 34 - Nonlinear Equations: Fixed-point Iteration Methods |

Link | NOC:Numerical Analysis (2023) | Lecture 35 - Nonlinear Equations: Fixed-point Iteration Methods (Convergence) and Modified Newton's Method |

Link | NOC:Numerical Analysis (2023) | Lecture 36 - Nonlinear Equations: System of Nonlinear Equations |

Link | NOC:Numerical Analysis (2023) | Lecture 37 - Nonlinear Equations: Implementation of Newton-Raphson's Method as Python Code |

Link | NOC:Numerical Analysis (2023) | Lecture 38 - Polynomial Interpolation: Existence and Uniqueness |

Link | NOC:Numerical Analysis (2023) | Lecture 39 - Polynomial Interpolation: Lagrange and Newton Forms |

Link | NOC:Numerical Analysis (2023) | Lecture 40 - Polynomial Interpolation: Newton’s Divided Difference Formula |

Link | NOC:Numerical Analysis (2023) | Lecture 41 - Polynomial Interpolation: Mathematical Error in Interpolating Polynomial |

Link | NOC:Numerical Analysis (2023) | Lecture 42 - Polynomial Interpolation: Arithmetic Error in Interpolating Polynomials |

Link | NOC:Numerical Analysis (2023) | Lecture 43 - Polynomial Interpolation: Implementation of Lagrange Form as Python Code |

Link | NOC:Numerical Analysis (2023) | Lecture 44 - Polynomial Interpolation: Runge Phenomenon and Piecewise Polynomial Interpolation |

Link | NOC:Numerical Analysis (2023) | Lecture 45 - Polynomial Interpolation: Hermite Interpolation |

Link | NOC:Numerical Analysis (2023) | Lecture 46 - Polynomial Interpolation: Cubic Spline Interpolation |

Link | NOC:Numerical Analysis (2023) | Lecture 47 - Polynomial Interpolation: Tutorial Session |

Link | NOC:Numerical Analysis (2023) | Lecture 48 - Numerical Integration: Rectangle Rule |

Link | NOC:Numerical Analysis (2023) | Lecture 49 - Numerical Integration: Trapezoidal Rule |

Link | NOC:Numerical Analysis (2023) | Lecture 50 - Numerical Integration: Simpson's Rule |

Link | NOC:Numerical Analysis (2023) | Lecture 51 - Numerical Integration: Gaussian Quadrature Rule |

Link | NOC:Numerical Analysis (2023) | Lecture 52 - Numerical Integration: Tutorial Session |

Link | NOC:Numerical Analysis (2023) | Lecture 53 - Numerical Differentiation: Primitive Finite Difference Formulae |

Link | NOC:Numerical Analysis (2023) | Lecture 54 - Numerical Differentiation: Method of Undetermined Coefficients and Arithmetic Error |

Link | NOC:Numerical Analysis (2023) | Lecture 55 - Numerical ODEs: Euler Methods |

Link | NOC:Numerical Analysis (2023) | Lecture 56 - Numerical ODEs: Euler Methods (Error Analysis) |

Link | NOC:Numerical Analysis (2023) | Lecture 57 - Numerical ODEs: Runge-Kutta Methods |

Link | NOC:Numerical Analysis (2023) | Lecture 58 - Numerical ODEs: Modified Euler's Methods |

Link | NOC:Numerical Analysis (2023) | Lecture 59 - Numerical ODEs: Multistep Methods |

Link | NOC:Numerical Analysis (2023) | Lecture 60 - Numerical ODEs: Stability Analysis |

Link | NOC:Numerical Analysis (2023) | Lecture 61 - Numerical ODEs: Two-point Boundary Value Problems |

Link | NOC:Point Set Topology | Lecture 1 - Definition and examples of topological spaces |

Link | NOC:Point Set Topology | Lecture 2 - Examples of topological spaces |

Link | NOC:Point Set Topology | Lecture 3 - Basis for topology |

Link | NOC:Point Set Topology | Lecture 4 - Subspace Topology |

Link | NOC:Point Set Topology | Lecture 5 - Product Topology |

Link | NOC:Point Set Topology | Lecture 6 - Product Topology (Continued...) |

Link | NOC:Point Set Topology | Lecture 7 - Continuous maps |

Link | NOC:Point Set Topology | Lecture 8 - Continuity of addition and multiplication maps |

Link | NOC:Point Set Topology | Lecture 9 - Continuous maps to a product |

Link | NOC:Point Set Topology | Lecture 10 - Projection from a point |

Link | NOC:Point Set Topology | Lecture 11 - Closed subsets |

Link | NOC:Point Set Topology | Lecture 12 - Closure |

Link | NOC:Point Set Topology | Lecture 13 - Joining continuous maps |

Link | NOC:Point Set Topology | Lecture 14 - Metric spaces |

Link | NOC:Point Set Topology | Lecture 15 - Connectedness |

Link | NOC:Point Set Topology | Lecture 16 - Connectedness (Continued...) |

Link | NOC:Point Set Topology | Lecture 17 - Connectedness (Continued...) |

Link | NOC:Point Set Topology | Lecture 18 - Connected components |

Link | NOC:Point Set Topology | Lecture 19 - Path connectedness |

Link | NOC:Point Set Topology | Lecture 20 - Path connectedness (Continued...) |

Link | NOC:Point Set Topology | Lecture 21 - Connectedness of GL(n,R)^+ (math symbol) |

Link | NOC:Point Set Topology | Lecture 22 - Connectedness of GL(n,C), SL(n,C), SL(n,R) |

Link | NOC:Point Set Topology | Lecture 23 - Compactness |

Link | NOC:Point Set Topology | Lecture 24 - Compactness (Continued...) |

Link | NOC:Point Set Topology | Lecture 25 - Compactness (Continued...) |

Link | NOC:Point Set Topology | Lecture 26 - Compactness (Continued...) |

Link | NOC:Point Set Topology | Lecture 27 - SO(n) is connected |

Link | NOC:Point Set Topology | Lecture 28 - Compact metric spaces |

Link | NOC:Point Set Topology | Lecture 29 - Lebesgue Number Lemma |

Link | NOC:Point Set Topology | Lecture 30 - Locally compact spaces |

Link | NOC:Point Set Topology | Lecture 31 - One point compactification |

Link | NOC:Point Set Topology | Lecture 32 - One point compactification (Continued...) |

Link | NOC:Point Set Topology | Lecture 33 - Uniqueness of one point compatification |

Link | NOC:Point Set Topology | Lecture 34 - Part 1 : Quotient topology |

Link | NOC:Point Set Topology | Lecture 35 - Part 2 : Quotient topology on G/H |

Link | NOC:Point Set Topology | Lecture 36 - Part 3 : Grassmannian |

Link | NOC:Point Set Topology | Lecture 37 - Normal topological spaces |

Link | NOC:Point Set Topology | Lecture 38 - Urysohn's Lemma |

Link | NOC:Point Set Topology | Lecture 39 - Tietze Extension Theorem |

Link | NOC:Point Set Topology | Lecture 40 - Regular and Second Countable spaces |

Link | NOC:Point Set Topology | Lecture 41 - Product Topology on mathbb{R}^{mathbb{N}} |

Link | NOC:Point Set Topology | Lecture 42 - Urysohn's Metrization Theorem |

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 | NOC:Introduction to Probability Theory and Statistics | Lecture 1 - Random experiment, sample space, axioms of probability, probability space |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 2 - Random experiment, sample space, axioms of probability, probability space (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 3 - Random experiment, sample space, axioms of probability, probability space (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 4 - Conditional probability, independence of events |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 5 - Multiplication rule, total probability rule, Bayes's theorem |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 6 - Definition of Random Variable, Cumulative Distribution Function |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 7 - Definition of Random Variable, Cumulative Distribution Function (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 8 - Definition of Random Variable, Cumulative Distribution Function (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 9 - Type of Random Variables, Probability Mass Function, Probability Density Function |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 10 - Type of Random Variables, Probability Mass Function, Probability Density Function (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 11 - Distribution of Function of Random Variables |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 12 - Mean and Variance |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 13 - Mean and Variance (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 14 - Higher Order Moments and Moments Inequalities |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 15 - Higher Order Moments and Moments Inequalities (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 16 - Generating Functions |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 17 - Generating Functions (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 18 - Common Discrete Distributions |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 19 - Common Discrete Distributions (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 20 - Common Continuous Distributions |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 21 - Common Continuous Distributions (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 22 - Applications of Random Variable |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 23 - Applications of Random Variable (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 24 - Random vector and joint distribution |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 25 - Joint probability mass function |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 26 - Joint probability density function |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 27 - Independent random variables |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 28 - Independent random variables (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 29 - Functions of several random variables |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 30 - Functions of several random variables (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 31 - Some important results |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 32 - Order statistics |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 33 - Conditional distributions |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 34 - Random sum |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 35 - Moments and Covariance |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 36 - Variance Covariance matrix |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 37 - Multivariate Normal distribution |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 38 - Probability generating function and Moment generating function |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 39 - Correlation coefficient |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 40 - Conditional Expectation |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 41 - Conditional Expectation (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 42 - Mode of Convergence |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 43 - Mode of Convergence (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 44 - Law of Large Numbers |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 45 - Central Limit Theorem |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 46 - Central Limit Theorem (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 47 - Descriptive Statistics and Sampling Distributions |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 48 - Descriptive Statistics and Sampling Distributions (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 49 - Descriptive Statistics and Sampling Distributions (Continued...) |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 50 - Point estimation |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 51 - Methods of Point estimation |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 52 - Interval Estimation |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 53 - Testing of Statistical Hypothesis |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 54 - Nonparametric Statistical Tests |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 55 - Analysis of Variance |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 56 - Correlation |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 57 - Regression |

Link | NOC:Introduction to Probability Theory and Statistics | Lecture 58 - Logistic Regression |

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 - Similarity of Matrices |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 40 - Inner Product Space |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 41 - Inner Product (Continued...) |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 42 - Cauchy Schwartz Inequality |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 43 - Projection on a Vector |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 44 - Results on Orthogonality |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 45 - Results on Orthogonality (Continued...) |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 46 - Gram-Schmidt Orthonormalization Process |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 47 - Orthogonal Projections |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 48 - Gram-Schmidt Process: Applications |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 49 - Examples and Applications on QR-decomposition |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 50 - Recapitulate ideas on Inner Product Spaces |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 51 - Motivation on Eigenvalues and Eigenvectors |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 52 - Examples and Introduction to Eigenvalues and Eigenvectors |

Link | NOC:Linear Algebra (Prof. A.K. Lal) | Lecture 53 - Results on Eigenvalues and Eigenvectors |

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 | NOC:Foundations of R Software | Lecture 0 |

Link | NOC:Foundations of R Software | Lecture 1 |

Link | NOC:Foundations of R Software | Lecture 2 |

Link | NOC:Foundations of R Software | Lecture 3 |

Link | NOC:Foundations of R Software | Lecture 4 |

Link | NOC:Foundations of R Software | Lecture 5 |

Link | NOC:Foundations of R Software | Lecture 6 |

Link | NOC:Foundations of R Software | Lecture 7 |

Link | NOC:Foundations of R Software | Lecture 8 |

Link | NOC:Foundations of R Software | Lecture 9 |

Link | NOC:Foundations of R Software | Lecture 10 |

Link | NOC:Foundations of R Software | Lecture 11 |

Link | NOC:Foundations of R Software | Lecture 12 |

Link | NOC:Foundations of R Software | Lecture 13 |

Link | NOC:Foundations of R Software | Lecture 14 |

Link | NOC:Foundations of R Software | Lecture 15 |

Link | NOC:Foundations of R Software | Lecture 16 |

Link | NOC:Foundations of R Software | Lecture 17 |

Link | NOC:Foundations of R Software | Lecture 18 |

Link | NOC:Foundations of R Software | Lecture 19 |

Link | NOC:Foundations of R Software | Lecture 20 |

Link | NOC:Foundations of R Software | Lecture 21 |

Link | NOC:Foundations of R Software | Lecture 22 |

Link | NOC:Foundations of R Software | Lecture 23 |

Link | NOC:Foundations of R Software | Lecture 24 |

Link | NOC:Foundations of R Software | Lecture 25 |

Link | NOC:Foundations of R Software | Lecture 26 |

Link | NOC:Foundations of R Software | Lecture 27 |

Link | NOC:Foundations of R Software | Lecture 28 |

Link | NOC:Foundations of R Software | Lecture 29 |

Link | NOC:Foundations of R Software | Lecture 30 |

Link | NOC:Foundations of R Software | Lecture 31 |

Link | NOC:Foundations of R Software | Lecture 32 |

Link | NOC:Foundations of R Software | Lecture 33 |

Link | NOC:Foundations of R Software | Lecture 34 |

Link | NOC:Foundations of R Software | Lecture 35 |

Link | NOC:Foundations of R Software | Lecture 36 |

Link | NOC:Foundations of R Software | Lecture 37 |

Link | NOC:Foundations of R Software | Lecture 38 |

Link | NOC:Foundations of R Software | Lecture 39 |

Link | NOC:Foundations of R Software | Lecture 40 |

Link | NOC:Foundations of R Software | Lecture 41 |

Link | NOC:Foundations of R Software | Lecture 42 |

Link | NOC:Foundations of R Software | Lecture 43 |

Link | NOC:Foundations of R Software | Lecture 44 |

Link | NOC:Foundations of R Software | Lecture 45 |

Link | NOC:Foundations of R Software | Lecture 46 |

Link | NOC:Foundations of R Software | Lecture 47 |

Link | NOC:Foundations of R Software | Lecture 48 |

Link | NOC:Foundations of R Software | Lecture 49 |

Link | NOC:Foundations of R Software | Lecture 50 |

Link | NOC:Foundations of R Software | Lecture 51 |

Link | NOC:Foundations of R Software | Lecture 52 |

Link | NOC:Foundations of R Software | Lecture 53 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 0 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 1 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 2 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 3 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 4 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 5 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 6 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 7 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 8 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 9 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 10 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 11 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 12 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 13 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 14 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 15 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 16 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 17 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 18 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 19 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 20 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 21 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 22 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 23 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 24 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 25 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 26 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 27 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 28 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 29 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 30 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 31 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 32 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 33 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 34 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 35 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 36 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 37 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 38 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 39 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 40 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 41 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 42 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 43 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 44 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 45 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 46 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 47 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 48 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 49 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 50 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 51 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 52 |

Link | NOC:Foundations of R Software (In Hindi) | Lecture 53 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 1 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 2 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 3 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 4 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 5 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 6 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 7 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 8 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 9 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 10 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 11 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 12 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 13 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 14 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 15 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 16 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 17 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 18 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 19 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 20 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 21 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 22 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 23 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 24 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 25 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 26 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 27 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 28 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 29 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 30 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 31 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 32 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 33 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 34 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 35 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 36 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 37 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 38 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 39 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 40 |

Link | NOC:An Introduction to Hyperbolic Geometry | Lecture 41 |

Link | NOC:A Primer to Mathematical Optimization | Lecture 1 - Introduction and History of Optimization |

Link | NOC:A Primer to Mathematical Optimization | Lecture 2 - Basics of Linear Algebra |

Link | NOC:A Primer to Mathematical Optimization | Lecture 3 - Definiteness of Matrices |

Link | NOC:A Primer to Mathematical Optimization | Lecture 4 - Sets in R^n |

Link | NOC:A Primer to Mathematical Optimization | Lecture 5 - Limit Superior and Limit Inferior |

Link | NOC:A Primer to Mathematical Optimization | Lecture 6 - Order of Convergence |

Link | NOC:A Primer to Mathematical Optimization | Lecture 7 - Lipschitz and Uniform Continuity |

Link | NOC:A Primer to Mathematical Optimization | Lecture 8 - Partial and Directional Derivatives and Differnentiability (8,9) |

Link | NOC:A Primer to Mathematical Optimization | Lecture 9 - Taylor's Theorem |

Link | NOC:A Primer to Mathematical Optimization | Lecture 10 - Convex Sets and Convexity Preserving Operations |

Link | NOC:A Primer to Mathematical Optimization | Lecture 11 - Sepration Results |

Link | NOC:A Primer to Mathematical Optimization | Lecture 12 - Theorems of Alternatives (13 and 14) |

Link | NOC:A Primer to Mathematical Optimization | Lecture 13 - Convex Functions |

Link | NOC:A Primer to Mathematical Optimization | Lecture 14 - Properties and Zeroth Order Characterization of Convex Function |

Link | NOC:A Primer to Mathematical Optimization | Lecture 15 - First-Order and Second-Order Characterization of Convex Functions |

Link | NOC:A Primer to Mathematical Optimization | Lecture 16 - Convexity Preserving Operations |

Link | NOC:A Primer to Mathematical Optimization | Lecture 17 - Optimality and Coerciveness |

Link | NOC:A Primer to Mathematical Optimization | Lecture 18 - First-Order Optimality Condition (20 Part 1) |

Link | NOC:A Primer to Mathematical Optimization | Lecture 19 - Second-Order Optimality Condition (20 Part 2) |

Link | NOC:A Primer to Mathematical Optimization | Lecture 20 - General Structure of Unconstrained Optimization Algorithms |

Link | NOC:A Primer to Mathematical Optimization | Lecture 21 - Inexact Line Search |

Link | NOC:A Primer to Mathematical Optimization | Lecture 22 - Globel Convergence of Descent Methods (23,24) |

Link | NOC:A Primer to Mathematical Optimization | Lecture 23 - Where Do Descent Methods Converge? |

Link | NOC:A Primer to Mathematical Optimization | Lecture 24 - Scaling of Variables |

Link | NOC:A Primer to Mathematical Optimization | Lecture 25 - Practical Stoping Criteria |

Link | NOC:A Primer to Mathematical Optimization | Lecture 26 - Steepest Descent Method (28,29) |

Link | NOC:A Primer to Mathematical Optimization | Lecture 27 - Newton's Method (30,31,32) |

Link | NOC:A Primer to Mathematical Optimization | Lecture 28 - Quasi Newton Methods (33,34,35) |

Link | NOC:A Primer to Mathematical Optimization | Lecture 29 - Conjugate Direction Methods (36,37) |

Link | NOC:A Primer to Mathematical Optimization | Lecture 30 - Trust Region Methods - Part I |

Link | NOC:A Primer to Mathematical Optimization | Lecture 31 - Trust Region Methods - Part II |

Link | NOC:A Primer to Mathematical Optimization | Lecture 32 - A Revisit to Lagrange Multipliears Method |

Link | NOC:A Primer to Mathematical Optimization | Lecture 33 - Special Cones for Contrained Optimization |

Link | NOC:A Primer to Mathematical Optimization | Lecture 34 - Tangent Cone |

Link | NOC:A Primer to Mathematical Optimization | Lecture 35 - First-Order KKT Optimality Conditions (42,43) |

Link | NOC:A Primer to Mathematical Optimization | Lecture 36 - Second-Order KKT Optimality Conditions |

Link | NOC:A Primer to Mathematical Optimization | Lecture 37 - Constraint Qualifications |

Link | NOC:A Primer to Mathematical Optimization | Lecture 38 - Lagrangian Duality Theory (46 to 50) |

Link | NOC:A Primer to Mathematical Optimization | Lecture 39 - Methods for Linearly Constrained Problems (51,52,53) |

Link | NOC:A Primer to Mathematical Optimization | Lecture 40 - Interior-Point Method for QPP |

Link | NOC:A Primer to Mathematical Optimization | Lecture 41 - Penalty Methods |

Link | NOC:A Primer to Mathematical Optimization | Lecture 42 - Sequential Quadratic Programming Method |

Link | NOC:Measure Theoretic Probability 2 | Lecture 1 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 2 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 3 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 4 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 5 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 6 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 7 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 8 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 9 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 10 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 11 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 12 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 13 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 14 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 15 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 16 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 17 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 18 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 19 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 20 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 21 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 22 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 23 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 24 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 25 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 26 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 27 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 28 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 29 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 30 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 31 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 32 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 33 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 34 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 35 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 36 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 37 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 38 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 39 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 40 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 41 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 42 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 43 |

Link | NOC:Measure Theoretic Probability 2 | Lecture 44 |

Link | NOC:Set Theory and Mathematical Logic | Lecture 1 - Introduction to Set Theory |

Link | NOC:Set Theory and Mathematical Logic | Lecture 2 - Operations on Sets, and Functions |

Link | NOC:Set Theory and Mathematical Logic | Lecture 3 - Bijective Functions |

Link | NOC:Set Theory and Mathematical Logic | Lecture 4 - Equivalence Relations and Partitions |

Link | NOC:Set Theory and Mathematical Logic | Lecture 5 - Cantor-Schroder-Bernstein Theorem |

Link | NOC:Set Theory and Mathematical Logic | Lecture 6 - Natural Numbers in ZF Set Theory |

Link | NOC:Set Theory and Mathematical Logic | Lecture 7 - Standard Number Systems in ZF Set Theory |

Link | NOC:Set Theory and Mathematical Logic | Lecture 8 - (Finitary) Power Sets and Countability |

Link | NOC:Set Theory and Mathematical Logic | Lecture 9 - Bijections of the set of real numbers: Dedekind cut and Cantor's middle-third set |

Link | NOC:Set Theory and Mathematical Logic | Lecture 10 - Bijections of the real numbers: Continued Fractions |

Link | NOC:Set Theory and Mathematical Logic | Lecture 11 - Principles of Mathematical Induction |

Link | NOC:Set Theory and Mathematical Logic | Lecture 12 - Ordinal Numbers |

Link | NOC:Set Theory and Mathematical Logic | Lecture 13 - Ordinal Arithmetic |

Link | NOC:Set Theory and Mathematical Logic | Lecture 14 - Cardinal Numbers and Cardinal Arithmetic |

Link | NOC:Set Theory and Mathematical Logic | Lecture 15 - Tutorial - Week 4 |

Link | NOC:Set Theory and Mathematical Logic | Lecture 16 - Partial Orders |

Link | NOC:Set Theory and Mathematical Logic | Lecture 17 - Lattices |

Link | NOC:Set Theory and Mathematical Logic | Lecture 18 - Equivalents of the Axiom of Choice (AC): Zorn's Lemma (ZL) and Well-ordering theorem (WOT) |

Link | NOC:Set Theory and Mathematical Logic | Lecture 19 - Tutorial - Week 5 |

Link | NOC:Set Theory and Mathematical Logic | Lecture 20 - Boolean Algebras |

Link | NOC:Set Theory and Mathematical Logic | Lecture 21 - Stone's Representation Theorems for Boolean Algebras |

Link | NOC:Set Theory and Mathematical Logic | Lecture 22 - Some Exercises on Boolean Algebras |

Link | NOC:Set Theory and Mathematical Logic | Lecture 23 - Ultrafilters in Boolean Algebras |

Link | NOC:Set Theory and Mathematical Logic | Lecture 24 - Introduction to Mathematical Logic |

Link | NOC:Set Theory and Mathematical Logic | Lecture 25 - Propositional Logic: Language, Formulas and Valuations |

Link | NOC:Set Theory and Mathematical Logic | Lecture 26 - Propositional Logic: Logical Equivalence and Lindenbaum-Tarski Algebra |

Link | NOC:Set Theory and Mathematical Logic | Lecture 27 - Tutorial - Week 7 |

Link | NOC:Set Theory and Mathematical Logic | Lecture 28 - Propositional Logic: Normal Forms of Formulas and Adequacy of Connectives |

Link | NOC:Set Theory and Mathematical Logic | Lecture 29 - Propositional Logic: Semantic Consequence Relation |

Link | NOC:Set Theory and Mathematical Logic | Lecture 30 - Propositional Logic: Syntactic Consequence Relation |

Link | NOC:Set Theory and Mathematical Logic | Lecture 31 - Deduction Theorem (Continued...) |

Link | NOC:Set Theory and Mathematical Logic | Lecture 32 - Tutorial - Week 8 |

Link | NOC:Set Theory and Mathematical Logic | Lecture 33 - Propositional Logic: Consistency and Soundness Theorem |

Link | NOC:Set Theory and Mathematical Logic | Lecture 34 - Propositional Logic: Completeness Theorem - Part I |

Link | NOC:Set Theory and Mathematical Logic | Lecture 35 - Propositional Logic: Completeness Theorem - Part II |

Link | NOC:Set Theory and Mathematical Logic | Lecture 36 - Compactness Theorem and Konig's Lemma |

Link | NOC:Set Theory and Mathematical Logic | Lecture 37 - Tutorial - Week 9 |

Link | NOC:Set Theory and Mathematical Logic | Lecture 38 - Introduction to First-Order Predicate Logic |

Link | NOC:Set Theory and Mathematical Logic | Lecture 39 - Predicate Logic: Terms and Formulas |

Link | NOC:Set Theory and Mathematical Logic | Lecture 40 - Predicate Logic: Validity of Formulas |

Link | NOC:Set Theory and Mathematical Logic | Lecture 41 - Tutorial - Week 10 |

Link | NOC:Set Theory and Mathematical Logic | Lecture 42 - Predicate Logic Substructures, Semantic Consequence Relation, and Models of Theories |

Link | NOC:Set Theory and Mathematical Logic | Lecture 43 - Predicate Logic: Standard Logical Equivalences, Normal Forms, and Definable Sets |

Link | NOC:Set Theory and Mathematical Logic | Lecture 44 - Tutorial - Week 11 |

Link | NOC:Set Theory and Mathematical Logic | Lecture 45 - Hyperreal Numbers |

Link | NOC:Set Theory and Mathematical Logic | Lecture 46 - Predicate Logic: Ultraproduct of Structures and Los's Theorem |

Link | NOC:Set Theory and Mathematical Logic | Lecture 47 - Predicate Logic: Compactness Theorem |

Link | NOC:Set Theory and Mathematical Logic | Lecture 48 - Tutorial - Week 12 |

Link | NOC:Set Theory and Mathematical Logic | Lecture 49 - Predicate Logic: Lowenheim-Skolem Theorems |

Link | NOC:Set Theory and Mathematical Logic | Lecture 50 - Predicate Logic: Reduced Products, Categoricity |

Link | NOC:Set Theory and Mathematical Logic | Lecture 51 - Predicate Logic: Categoricity (Continued...) and Quantifier Elimination |

Link | NOC:Set Theory and Mathematical Logic | Lecture 52 - Godel's Incompleteness Theorems |

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 - |