Lecture 1 - Lesson 1 - Introduction, Motivation
Lecture 2 - Lesson 2 - Part 1 - Mathematical Preliminaries, Polynomial Interpolation - 1
Lecture 3 - Lesson 2 - Part 2 - Mathematical Preliminaries, Polynomial Interpolation - 1
Lecture 4 - Lesson 3 - Part 1 - Polynomial Interpolation - 2
Lecture 5 - Lesson 3 - Part 2 - Polynomial Interpolation - 2
Lecture 6 - Lesson 4 - Polynomial Interpolation - 3
Lecture 7 - Lagrange Interpolation Polynomial, Error In Interpolation - 1
Lecture 8 - Lagrange Interpolation Polynomial, Error In Interpolation - 1
Lecture 9 - Error In Interpolation - 2
Lecture 10 - Error In Interpolation - 2
Lecture 11 - Divide Difference Interpolation Polynomial
Lecture 12 - Properties Of Divided Difference, Introduction To Inverse Interpolation
Lecture 13 - Properties Of Divided Difference, Introduction To Inverse Interpolation
Lecture 14 - Inverse Interpolation, Remarks on Polynomial Interpolation
Lecture 15 - Numerical Differentiation - 1 Taylor Series Method
Lecture 16 - Numerical Differentiation - 2 Method Of Undetermined Coefficients
Lecture 17 - Numerical Differentiation - 2 Polynomial Interpolation Method
Lecture 18 - Numerical Differentiation - 3 Operator Method Numerical Integration - 1
Lecture 19 - Numerical Integration - 2 Error in Trapezoidal Rule Simpson's Rule
Lecture 20 - Numerical Integration - 3 Error in Simpson's Rule Composite in Trapezoidal Rule, Error
Lecture 21 - Numerical Integration - 4 Composite Simpsons Rule , Error Method of Undetermined Coefficients
Lecture 22 - Numerical Integration - 5 Gaussian Quadrature (Two-Point Method)
Lecture 23 - Numerical Integrature - 5 Gaussian Quadrature (Three-Point Method) Adaptive Quadrature
Lecture 24 - Numerical Solution of Ordinary Differential Equation (ODE) - 1
Lecture 25 - Numerical Solution Of ODE-2 Stability , Single-Step Methods - 1 Taylor Series Method
Lecture 26 - Numerical Solution Of ODE-3 Examples of Taylor Series Method Euler's Method
Lecture 27 - Numerical Solution Of ODE-4 Runge-Kutta Methods
Lecture 28 - Numerical Solution Of ODE-5 Example For RK-Method Of Order 2 Modified Euler's Method
Lecture 29 - Numerical Solution Of Ordinary Differential Equations - 6 Predictor-Corrector Methods (Adam-Moulton)
Lecture 30 - Numerical Solution Of Ordinary Differential Equations - 7
Lecture 31 - Numerical Solution Of Ordinary Differential Equations - 8
Lecture 32 - Numerical Solution of Ordinary Differential Equations - 9
Lecture 33 - Numerical Solution of Ordinary Differential Equations - 10
Lecture 34 - Numerical Solution of Ordinary Differential Equations - 11
Lecture 35 - Root Finding Methods - 1 The Bisection Method - 1
Lecture 36 - Root Finding Methods - 2 The Bisection Method - 2
Lecture 37 - Root Finding Methods - 3 Newton-Raphson Method - 1
Lecture 38 - Root Finding Methods - 4 Newton-Raphson Method - 2
Lecture 39 - Root Finding Methods - 5 Secant Method, Method Of false Position
Lecture 40 - Root Finding Methods - 6 Fixed Point Methods - 1
Lecture 41 - Root Finding Methods - 7 Fixed Point Methods - 2
Lecture 42 - Root Finding Methods - 8 Fixed Point Iteration Methods - 3
Lecture 43 - Root Finding Methods - 9 Practice Problems
Lecture 44 - Solution Of Linear Systems Of Equations - 1
Lecture 45 - Solution Of Linear Systems Of Equations - 2
Lecture 46 - Solution Of Linear Systems Of Equations - 3
Lecture 47 - Solution Of Linear Systems Of Equations - 4
Lecture 48 - Solution Of Linear Systems Of Equations - 5
Lecture 49 - Solution Of Linear Systems Of Equations - 6
Lecture 50 - Solution Of Linear Systems Of Equations - 7
Lecture 51 - Solution Of Linear Systems Of Equations - 8 Iterative Method - 1
Lecture 52 - Solution Of Linear Systems Of Equations - 8 Iterative Method - 2
Lecture 53 - Matrix Eigenvalue Problems - 2 Power Method - 2
Lecture 54 - Practice Problems
