I took this course in Fall 2010 to learn about numerical solutions of PDE’s.
course description from catalog
228A-228B-228C. Numerical Solution of Differential Equations (4-4-4) Lecture 3 hours; term paper or discussion 1 hour. Prerequisite: course 128C. Numerical solutions of initial-value, eigenvalue and boundary-value problems for ordinary differential equations. Numerical solution of parabolic and hyperbolic partial differential equations. Offered in alternate years
official class syllabus
See Professor Guy web page HTML In case the syllabus goes away, here is an archive image
Text book