Applied Mathematics

AM 112 Introduction to Partial Differential Equations

Teaches analytical methods for the solution of first- and second-order PDEs of two variables, including: the method of characteristics for first-order PDEs; separation of variables for the heat, wave, and Laplace’s equations in a finite or periodic Cartesian domain; homogeneous vs. forced problem; Sturm-Liouville theory; polar and spherical coordinate systems. Each method is illustrated by solving PDEs originating from real-life applications. Students cannot receive credit for this course and AM 212A.

Requirements

Prerequisite(s): AM 100 or by permission of the instructor. Enrollment is restricted to juniors and seniors.

Credits

5