Introduction to Partial Differential Equations

Catalog description

This first course in partial differential equations introduces the basic ideas from the theory of partial differential equations, and their connection with the simplest physical systems. This 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 equation, separation of variables, Fourier Series, Sturm-Liouville eigenvalue problems and Helmholts equation, Rayleigh Quotient, and introduction to finite difference methods.