By the end of this course, a student will:
- classify and identify different types of partial differential equations,
- use the method of separation of variables in order to solve some basic partial differential equations via Fourier series
- explicitly solve several important classes of partial differential equations and interpret their qualitative behavior,
- apply ideas from multivariable calculus and ordinary differential equations to solve partial differential equations and interpret solutions,
- model certain physical phenomena using partial differential equations and reinterpret their solutions physically.