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.