Mathematics - Elementary Numerical Analysis (English)

   Saturday, May 03, 2025   

Starting a new Lecture Notes Series on Mathematics - Elementary Numerical Analysis

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Mathematics - Elementary Numerical Analysis By Lecture Notes together!

Lecture 1: Mod-01 Lec-01 Introduction

Lecture 2: Mod-01 Lec-02 Polynomial Approximation

Lecture 3: Mod-01 Lec-03 Interpolating Polynomials

Lecture 4: Mod-01 Lec-04 Properties of Divided Difference

Lecture 5: Mod-01 Lec-05 Error in the Interpolating polynomial

Lecture 6: Mod-01 Lec-06 Cubic Hermite Interpolation

Lecture 7: Mod-01 Lec-07 Piecewise Polynomial Approximation

Lecture 8: Mod-01 Lec-08 Cubic Spline Interpolation

Lecture 9: Mod-01 Lec-09 Tutorial 1

Lecture 10: Mod-01 Lec-10 Numerical Integration: Basic Rules

Lecture 11: Mod-01 Lec-11 Composite Numerical Integration

Lecture 12: Mod-01 Lec-12 Gauss 2-point Rule: Construction

Lecture 13: Mod-01 Lec-13 Gauss 2-point Rule: Error

Lecture 14: Mod-01 Lec-14 Convergence of Gaussian Integration

Lecture 15: Mod-01 Lec-15 Tutorial 2

Lecture 16: Mod-01 Lec-16 Numerical Differentiation

Lecture 17: Mod-01 Lec-17 Gauss Elimination

Lecture 18: Mod-01 Lec-18 L U decomposition

Lecture 19: Mod-01 Lec-19 Cholesky decomposition

Lecture 20: Mod-01 Lec-20 Gauss Elimination with partial pivoting

Lecture 21: Mod-01 Lec-21 Vector and Matrix Norms

Lecture 22: Mod-01 Lec-22 Perturbed Linear Systems

Lecture 23: Mod-01 Lec-23 ILL-conditioned Linear System

Lecture 24: Mod-01 Lec-24 Tutorial 3

Lecture 25: Mod-01 Lec-25 Effect of Small Pivots

Lecture 26: Mod-01 Lec-26 Solution of Non-linear Equations

Lecture 27: Mod-01 Lec-27 Quadratic Convergence of Newton's Method

Lecture 28: Mod-01 Lec-28 Jacobi Method

Lecture 29: Mod-01 Lec-29 Gauss-Seidel Method

Lecture 30: Mod-01 Lec-30 Tutorial 4

Lecture 31: Mod-01 Lec-31 Initial Value Problem

Lecture 32: Mod-01 Lec-36 Spectral Theorem

Lecture 33: Mod-01 Lec-37 Power Method

Lecture 34: Mod-01 Lec-38 Inverse Power Method

Lecture 35: Mod-01 Lec-39 Q R Decomposition

Lecture 36: Mod-01 Lec-40 Q R Method

Lecture 37: Mod-01 Lec-32 Multi-step Methods

Lecture 38: Mod-01 Lec-33 Predictor-Corrector Formulae

Lecture 39: Mod-01 Lec-34 Boundary Value Problems

Lecture 40: Mod-01 Lec-35 Eigenvalues and Eigenvectors