First and second-order PDE's; existence and uniqueness, initial and boundary value problems, Fourier series; Green's functions; wave, heat and Laplace equations; nonlinear PDE's; applications. Prereq: C- or better in 2255, 2415, 4556, or 5520H; or credit for 255, 415.xx, or 521H. Intended for Math majors. Not open to students with credit for 4512 (512), or 557.
MATH 4557: Partial Differential Equations
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Partial Differential Equations: An Introduction