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.

Topics

• 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