Math 43500: Partial Differential Equations I
First order equations, shock waves; classification and canonical forms of higher order equations, characteristics, the Cauchy problem for the wave equation: Huygens' principle; the heat equation; Laplace's equation; the Dirichlet and Neuman problems; harmonic functions; eigenvalue expansions; Green's functions. Prereq.: (Math 32500 or 32404) and 39100 or permission of the instructor. 4 HR./WK.; 4 CR.
This class is not being offered in Fall 2021.