Course Material

- Week-1 Introduction: Review Ordinary differential equation in more than one variables
- Week-2 Linear Partial differential equations of the first order
- Week-3 Cauchy's problem for Quasilinear first order PDEs
- Week-4 PDEs of second order in two variables with variable coefficients
- Week-5 Linear transformation from one equation to another equation
- Week-6 Normal form and Cauchy's problem for second order PDEs in two independent variables
- Week-7 Adjoint operator, self adjoint operator and operators
- Week-8 Linear PDEs in n independent variables
- Week-9 Lagrange's identity and Green's theorem for self adjoint operator
- Week-10 The Laplace equation
- Week-11 Dirichlet problem for a circle
- Week-12 Poisson's integral for a circle
- Week-13 Solution of Laplace equation in Cartesian, cylindrical and spherical coordinates
- Week-14 The wave equation in one dimension
- Week-15 The wave equation in higher dimension
- Week-16 The heat equation and Axially symmetric solutions

- Chapters 16
- Department Mathematics
- Teacher
Muhammad Naeem