MATH 630 - Introductions to Partial Differential Equations

3 Credits

Prerequisite(s): MATH 525 A study of first order partial differential equations (PDE), conservation law, shock application, linear PDEs, the Cauchy problem, canonical form and classification of second order PDEs. The course also includes selected topics from the following: Laplace’s equations, harmonic functions, boundary value problems, the wave equation, the initial value problem, the forward light cone, Huyghens’ principle, conservation of energy, initial and boundary conditions, the heat equation, heat conduction, the initial-boundary value problem, finite differences, and finite elements.