MATH 6611 Partial Differential Equations I 3.0 Credits
Covers derivation and classification of partial differential equations; elementary methods of solution, including Fourier series and transform techniques; linear and nonlinear equations of the first order; hyperbolic, elliptic, and parabolic type equations; maximum principles; existence, uniqueness, and continuous dependence theorems; method of characteristics; Green's functions; Sobolev spaces; weak derivatives; Sobolev inequalities; second order elliptic equations: Lax-Milgram theorem and regularity.
Repeat Status: Not repeatable for credit