MATH 520 - Partial Differential Equations

This course is an introduction to the study of Partial Differential Equations and Boundary Value Problems. Separation of variables methods for 2nd-order linear PDEs will be discussed, along with derivation of equations and analysis of solutions. Fourier series, Fourier transforms, Laplace Transforms, Bessel functions, and Sturm-Liouville Theory will be discussed in the context of these solution techniques. Other topics may include Green’s Functions, numerical methods, 1st-oder PDEs and the method of characteristics, or additional modeling and analysis.

Credits: 3