Mathematics 364pd - Advanced Topics in Continuous Applied Mathematics-Partial Differential Equations
AdvT-Conti Appl:Part Diff Equ
Spring
2024
01
4.00
Luca Capogna
M W 8:00 AM - 9:15 AM
Smith College
MTH-364pd-01-202403
Burton 101
lcapogna@smith.edu
Partial differential equations allow the ability to track how quantities change when they depend on 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 and MTH 212, or MTH 280/MTH 281, or equivalent. MTH 264 is strongly recommended. Prior exposure to computing (using Matlab, Mathematica, Python, etc.) is helpful.