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MATH 553 X1 - Partial Differential Equations

Campus: Urbana-Champaign


Basic introduction to the study of partial differential equations; topics include: the Cauchy problem, power-series methods, characteristics, classification, canonical forms, well-posed problems, Riemann's method for hyperbolic equations, the Goursat problem, the wave equation, Sturm-Liouville problems and separation of variables, Fourier series, the heat equation, integral transforms, Laplace's equation, harmonic functions, potential theory, the Dirichlet and Neumann problems, and Green's functions. Course Information: Prerequisite: Consent of instructor.

Special Instructions:

Students from the following programs must contact the Director of Graduate Studies in Mathematics to request permission to register for the course: MS:Economics:Policy Econ -UIUC or MS: Financial Engineering.

Academic Program Restrictions:

MS:Economics:Policy Econ -UIUC

Option 1

Number of Required Visit(s): 0

Course Level: Graduate

Credit: 4

Term(s): Spring


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