**PARTIAL DIFFERENTIAL EQUATIONS I**

*Recommended Prerequisites: MATH 321 AND MATH 322*

**Description:** First order of partial differential equations. The method of characteristics. Analysis of the solutions of the wave equation, heat equation and Laplace’s equation. Integral relations and Green’s functions. Potential theory, Dirichlet and Neumann problems. Asymptotic methods: the method of stationary phase, geometrical optics, regular and singular perturbation methods.

**Class Resources:**

E-Book

Additional Materials

Well-posedness for the wave equation

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