NOC:Numerical Analysis


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