This course introduce advanced analytic techniques for solving equations that arise in science and engineering. Material will be taken from Chapters 5, 10, 11-14 and 17 (time permitting) of the course textbook.
- Review of vector and integral calculus
- Fourier series and transforms
- Power Series solutions to differential equations (Method of Frobenius)
- Sturm-Liouville problems
- wave equation
- heat equation
- Poisson equation