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Courses - Fall 2023
MATH
Mathematics Department Site
MATH673
Partial Differential Equations I
Credits: 3
Grad Meth: Reg, Aud
Prerequisite: MATH411; or students who have taken courses with comparable content may contact the department.
Cross-listed with: AMSC673.
Credit only granted for: AMSC673 or MATH673.
Analysis of boundary value problems for Laplace's equation, initial value problems for the heat and wave equations. Fundamental solutions, maximum principles, energy methods. First order nonlinear PDE, conservation laws. Characteristics, shock formation, weak solutions. Distributions, Fourier transform.
Offered fall only.