Mathematical Physics with Partial Differential Equations

1. Preliminaries
2. Vector Calculus
3. Green’s Function
4. Fourier Series
5. Three Important Equations
6. Sturm-Liouville Theory
7. Solving PDE’s in Cartesian Coordinates by Separation of Variables
8. Generating Functions
9. Solving PDE’s in Cylindrical Coordinates by Separation of Variables
10. Solving PDE’s in spherical coordinates w/Sep. of Variables
11. The Fourier Transform
12. The Laplace Transform
13. Solving PDE’s using Green’s Functions