DIGIMAT AUTONOMOUS LEARNING PLATFORM

Mathematics (6,897 Video Lectures)

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