MTH (0144) 546 - Partial Differential Equations

Credits: 3.00

Students will analyze and solve partial differential equations. Students interpret solutions, use methods such as Fourier and Laplace transforms, study special functions such as Bessel and Green’s functions. Students apply partial differential equations to model multivariate real-world systems

Prerequisite 1: MTH 544
Free Note: Open only to students in the M.S. in Mathematics

Course Learning Goals: Students will be able to:
- solve basic partial differential equations — assessed by Quizzes #1 & 2
- apply Fourier series and Sturm-Liouville theory to the solution of partial differential equations – assessed by Quizzes 3 & 4
- use difference methods to approximate solutions to real-world situations– assessed by Quiz #5 and the mid-term examination
- analyze and solve higher-dimensional and non-linear PDEs – assessed by Quizzes 6-7
- describe and apply special functions (Bessel and Green’s functions) to the solution of partial differential equations – assessed by Quizzes 8-9
- use Laplace transforms to solve partial differential equations – assessed by Quiz #10 and the Final Exam