Part (I) Fourier Analysis
1 Periodic Function
2 Fourier Series
3 Coefficient of Fourier Series
4 Even and Odd Function
5 Half Range Expansion
6.1 Complex Fourier Series
6.2 Sturm Liouville Problem
7 Orthogonality of Eigenfuncion ynx Special Case
8 Orthogonality of Eigenfuncion ynx General Case
9 2 nd Order ODEs with Homogeneous B.C.
10 2 nd Order ODEs with Non Homogeneous B.C.
11 Fourier Integrals
Part (II) Ordinary Differential Equations
Ch1. 1 st Order ODEs with Constant Coefficients
Ch2. 2 nd Order ODEs with Constant Coefficients
Part (III) Partial Differential Equations
Chapter 1 Introduction and Derivations
1.1 Heat Equation
1.2 Wave Equation
1.3 Laplace Equation
Chapter 2 Non-Homogeneous Heat Equation
2.1 Non-Homogeneous Heat Equation with Homogeneous B.C.
2.2 Non-Homogeneous Heat Equation with Non-Homogeneous B.C.
Chapter 3 Non-Homogeneous Wave Equation
3.1 Non-Homogeneous Wave Equation with Homogeneous B.C.
3.2 Non-Homogeneous Wave Equation with Non-Homogeneous B.C.
Chapter 4 Non-Homogeneous Laplace Equation
4.1 Non-Homogeneous Laplace Equation with Homogeneous B.C.
4.2 Non-Homogeneous Laplace Equation with Non-Homogeneous B.C.
Chapter 5 Nonlinear 1 st Order PDEs