Theory of Partial Differential Equations (MATH337)

First-Order Partial Differential Equations. The method of characteristics for solving linear first-order IVP. Nonlinear First-Order PDEs, Compatible Systems and Charpit’s Method. Second-Order Partial Differential. Canonical Forms. Fourier Series. Heat Equation, The Maximum and Minimum Principle. Method of Separation of Variables. The Wave Equation. The Inhomogeneous Wave Equation. The Laplace Equation. The Dirichlet BVP for a Rectangle.

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