Partial Differential Equations (MATH-405) (Ex-PPP) BS-Mathematics New-I

Partial Differential Equations (MATH-409) Ex-PPP

Course Material

01 Week-1 Introduction: Review Ordinary differential equation in more than one variables

02 Week-2 Linear Partial differential equations of the first order

03 Week-3 Cauchy's problem for Quasilinear first order PDEs

04 Week-4 PDEs of second order in two variables with variable coefficients

05 Week-5 Linear transformation from one equation to another equation

06 Week-6 Normal form and Cauchy's problem for second order PDEs in two independent variables

07 Week-7 Adjoint operator, self adjoint operator and operators

08 Week-8 Linear PDEs in n independent variables

09 Week-9 Lagrange's identity and Green's theorem for self adjoint operator

10 Week-10 The Laplace equation

11 Week-11 Dirichlet problem for a circle

12 Week-12 Poisson's integral for a circle

13 Week-13 Solution of Laplace equation in Cartesian, cylindrical and spherical coordinates

14 Week-14 The wave equation in one dimension

15 Week-15 The wave equation in higher dimension

16 Week-16 The heat equation and Axially symmetric solutions