Partial Differential Equations

Catalog description

This course aims to provide a graduate level foundation on the fundamental concepts of partial differential equations, and their connection with physical processes. The course focuses on the discussion of boundary value problems with simple geometries in 1, 2, or 3 space dimensions for the heat equation, wave equation, and Laplace’s equation, separation of variables, Fourier Series, Sturm-Liouville eigenvalue problems, Helmholtz equation, Rayleigh Quotient, finite difference and spectral numerical methods.