This course is devoted to partial differential equations and their applications in science and engineering. The covered topics include: classification of second order equations; their solutions by methods of characteristics, integral transformations, Green's functions, and images; and similarity solutions. Application of these methods are made to both first-order equations, and second-order equations, such as the wave equation, the diffusion equation and Laplace's equation. Applications include continuum mechanics, potential fields, and transport phenomena such as diffusion, linear and nonlinear waves, Burgers equation and shocks.
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here.
Paper 1 due date: Th, April 17, 2008
Paper 2 due date: Fr, April 25, 2008
Paper 3 due date: Tue, May 6, 2008
Paper 4 due date: Th, May 8, 2008
Paper 5 due date: Tue, May 13, 2008
Paper 6 due date: Tue, May , 2008
Paper 7 due date: Tue, May , 2008
Paper 8 due date: Tue, May , 2008
Homework problems will be available here:
Assignment 1 due date: Th, April 17, 2008 (Solutions)
Assignment 2 due date: Th, April 24, 2008 (Solutions)
Assignment 3 due date: Th, May 9, 2008