Mathematics 364pd - Advanced Topics in Continuous Applied Mathematics-Partial Differential Equations

Partial differential equations allow us to track how quantities change over multiple variables, e.g. space and time. This course provides an introduction to techniques for analyzing and solving partial differential equations and surveys applications from the sciences and engineering. Specific topics include Fourier series, separation of variables, heat, wave and Laplace’s equations, finite difference numerical methods, and introduction to pattern formations. Prerequisite: MTH 211, MTH 212, and MTH 264 strongly recommended) or MTH 280/281, or permission of the instructor. Prior exposure to computing (using Matlab, Mathematica, Python, etc.) will be helpful.