M372K PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS


Prerequisite and degree relevance: M427K, with a grade of at least C-. One of M361K or M365C is also recommended.

Course description: Partial differential equations arise as basic models of flows, diffusion, dispersion, and vibrations. Topics include first and second order partial differential equations and classification, particularly the wave, diffusion, and potential equations, their origins in applications and properties of solutions, characteristics, maximum principles, Greens functions, eigenvalue problems, and Fourier expansion methods.