Brief description: Partial differential equations arise as basic models of flow, 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, Green's functions, eigenvalue problems, and Fourier expansion methods.

Consent of instructor in not required.

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

Textbook :  Elementary Applied Partial Differential Equations by Richard Haberman

 

Prof. Irene Gamba

RLM 10.166

471-7150

Email: gamba@math.utexas.edu