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Partial Differential Equations MATH 718 (3)
First-order linear equations, the method of characteristics. The wave equation. Harmonic functions, the maximum principle, Green's functions. The heat equation. Distributions and transforms. Higher dimensional eigenvalue problems. An introduction to nonlinear equations. Burgers' equation and shock waves. Prerequisite: MATH 314 (or PHYS 384), or permission of the department. Recommended: MATH 242 and 320. Students may not take a 700 division course if it is being offered in conjunction with a 400 division course which they have taken previously.
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