Department of Mathematics
Math A3500: 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.