Media Storage Type : 32 GB USB Stick
NPTEL Subject Matter Expert : Prof. Rekha P. Kulkarni
NPTEL Co-ordinating Institute : IIT Bombay
NPTEL Lecture Count : 40
NPTEL Course Size : 28 GB
NPTEL PDF Text Transcription : Available and Included
NPTEL Subtitle Transcription : Available and Included (SRT)
Lecture Titles:
Lecture 1 - Introduction
Lecture 2 - Polynomial Approximation
Lecture 3 - Interpolating Polynomials
Lecture 4 - Properties of Divided Difference
Lecture 5 - Error in the Interpolating polynomial
Lecture 6 - Cubic Hermite Interpolation
Lecture 7 - Piecewise Polynomial Approximation
Lecture 8 - Cubic Spline Interpolation
Lecture 9 - Tutorial 1
Lecture 10 - Numerical Integration: Basic Rules
Lecture 11 - Composite Numerical Integration
Lecture 12 - Gauss 2-point Rule: Construction
Lecture 13 - Gauss 2-point Rule: Error
Lecture 14 - Convergence of Gaussian Integration
Lecture 15 - Tutorial 2
Lecture 16 - Numerical Differentiation
Lecture 17 - Gauss Elimination
Lecture 18 - L U decomposition
Lecture 19 - Cholesky decomposition
Lecture 20 - Gauss Elimination with partial pivoting
Lecture 21 - Vector and Matrix Norms
Lecture 22 - Perturbed Linear Systems
Lecture 23 - Ill-conditioned Linear System
Lecture 24 - Tutorial 3
Lecture 25 - Effect of Small Pivots
Lecture 26 - Solution of Non-linear Equations
Lecture 27 - Quadratic Convergence of Newton's Method
Lecture 28 - Jacobi Method
Lecture 29 - Gauss-Seidel Method
Lecture 30 - Tutorial 4
Lecture 31 - Initial Value Problem
Lecture 32 - Multi-step Methods
Lecture 33 - Predictor-Corrector Formulae
Lecture 34 - Boundary Value Problems
Lecture 35 - Eigenvalues and Eigenvectors
Lecture 36 - Spectral Theorem
Lecture 37 - Power Method
Lecture 38 - Inverse Power Method
Lecture 39 - Q R Decomposition
Lecture 40 - Q R Method