MATH.4450 Partial Differential Equations (Formerly 92.445)

Id: 008325 Credits: 3-3

Description

Linear and quasilinear first order PDE. The method of characteristics. Conservation laws and propagation of shocks. Basic theory for three classical equations of mathematical physics (in all spatial dimensions): the wave equation, the heat/diffusion equation, the Laplace/Poisson equation. Initial value problems - solution formulas. Fundamental solutions. Green's functions. Eigenfunction expansion method for initial-boundary and boundary value problems.

Prerequisites

Pre-Req: MATH 2340 Differential Equations or MATH 2360 Eng Differential Equations.

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