Partial Differential Equations

Catalog description

Cat. IIThe first part of the course will cover the following topics: classification ofpartial differential equations, solving single first order equations by the methodof characteristics, solutions of Laplace’s and Poisson’s equations including theconstruction of Green’s function, solutions of the heat equation including theconstruction of the fundamental solution, maximum principles for elliptic andparabolic equations. For the second part of the course, the instructor maychoose to expand on any one of the above topics.Recommended background: MA 2251 and MA 3832.This course will be offered in 2020-21, and in alternating years thereafter.