Math 2.0

Resources / course

Numerical Analysis X7HT0AE3ZS

URIm2://res/X7HT0AE3ZS
Kindcourse
CreatorsR. Usha (instructor)
Date2017-07-06
Scopein
Idscourse 03v0r5n49:111106101

Expressions

e1: edition

Languageen
Date2017-07-06
Contents
  • part 1: Week 1
  • session 1: Lesson 1 - Introduction , Motivation
  • session 2: Lesson 2 - Part 1 - Mathematical Preliminaries , Polynomial Interpolation – 1
  • session 3: Lesson 2 - Part 2 - Mathematical Preliminaries , Polynomial Interpolation – 1
  • session 4: Lesson 3 - Part 1 - Polynomial Interpolation – 2
  • session 5: Lesson 3 - Part 2 - Polynomial Interpolation – 2
  • session 6: Lesson 4 - Polynomial Interpolation – 3
  • part 2: Week 2
  • session 7: Lagrange Interpolation Polynomial , Error In Interpolation - 1
  • session 8: Lagrange Interpolation Polynomial ; Error In Interpolation - 1
  • session 9: Error In Interpolation - 2
  • session 10: Error In Interpolation 2
  • session 11: Divide Difference Interpolation Polynomial
  • session 12: Properties Of Divided Difference , Introduction To Inverse Interpolation
  • session 13: Properties Of Divided Difference Introduction To Inverse Interpolation
  • part 3: Week 3
  • session 14: Inverse Interpolation , Remarks on Polynomial Interpolation
  • session 15: Numerical Differentiation - 1 Taylor Series Method
  • session 16: Numerical Differentiation - 2 Method Of Undetermined Coefficients
  • session 17: Numerical Differentiation - 2 Polynomial Interpolation Method
  • session 18: Numerical Differentiation - 3 Operator Method Numerical Integration - 1
  • part 4: Week 4
  • session 19: Numerical Integration - 2 Error in Trapezoidal Rule Simpson's Rule
  • session 20: Numerical Integration - 3 Error in Simpson's Rule Composite in Trapezoidal Rule , Error
  • session 21: Numerical Integration - 4 Composite Simpsons Rule , Error Method of Undetermined Coefficients
  • session 22: Numerical Integration - 5 Gaussian Quadrature (Two-Point Method)
  • part 5: Week 5
  • session 23: Numerical Integrature - 5 Gaussian Quadrature (Three-Point Method) Adaptive Quadrature
  • session 24: Numerical Solution of Ordinary Differential Equation (ODE) - 1
  • session 25: Numerical Solution Of ODE - 2 Stability , Single-Step Methods - 1 Taylor Series Method
  • session 26: Numerical Solution Of ODE - 3 Examples of Taylor Series Method Euler's Method
  • part 6: Week 6
  • session 27: Numerical Solution Of ODE-4 Runge-Kutta Methods
  • session 28: Numerical Solution Of ODE-5 Example For RK-Method Of Order 2 Modified Euler's Method
  • session 29: Numerical Solution Of Ordinary DifferentialEquations- 6 Predictor-Corrector Methods (Adam-Moulton)
  • session 30: Numerical Solution Of Ordinary DifferentialEquations- 7
  • part 7: Week 7
  • session 31: Numerical Solution Of Differential Equations - 8
  • session 32: Numerical Solution of Ordinary Differential Equations - 9
  • session 33: Numerical Solution of Ordinary Differential Equations - 10
  • session 34: Numerical Solution of Ordinary Differential Equations - 11
  • part 8: Week 8
  • session 35: Root Finding Methods - 1 The Bisection Method - 1
  • session 36: Root Finding Methods - 2 The Bisection Method - 2
  • session 37: Root Finding Methods - 3 Newton-Raphson Method - 1
  • session 38: Root Finding Methods - 4 Newton-Raphson Method - 2
  • part 9: Week 9
  • session 39: Root Finding Methods - 5 Secant Method, Method Of false Position
  • session 40: Root Finding Methods - 6 Fixed Point Methods - 1
  • session 41: Root Finding Methods - 7 Fixed Point Methods - 2
  • session 42: Root Finding Methods - 8 Fixed Point Iteration Methods - 3
  • part 10: Week 10
  • session 43: Root Finding Methods - 9 Practice Problems
  • session 44: Solution Of Linear Systems Of Equations - 1
  • session 45: Solution Of Linear Systems Of Equations - 2
  • session 46: Solution Of Linear Systems Of Equations - 3
  • part 11: Week 11
  • session 47: Solution Of Linear Systems Of Equations - 4
  • session 48: Solution Of Linear Systems Of Equations - 5
  • session 49: Solution Of Linear Systems Of Equations - 6
  • session 50: Solution Of Linear Systems Of Equations - 7
  • part 12: Week 12
  • session 51: Solutions Of Linear Systems Of Equations - 8 Iterative Method - 1
  • session 52: Solutions Of Linear Systems Of Equations - 8 Iterative Method - 2
  • session 53: Matrix Eigenvalue Problems - 2 Power Method - 2
  • session 54: Practice Problems

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