Course Description Details
Week
Topics covered
1
Introduction
2
Formation of PDE’s
3
Linear Equations
4
First Order Quasi-Linear Equations
5
The method of Charecteristics
6
First Order Nonlinear Equations
7
Second Order Linear Equations
8
Second Order Linear Equations (continued)
9
Inverse Operators
10
Classification of Almost Linear Equations in 2 variables
11
Sturm-Liouville Problem
12
Orthogonal Polynomials, Fourier Series
13
Hyperbolic equations
14
Parabolic equations
15
Elliptic equations