Courses of Study 2019-2020 
    
    Jul 21, 2024  
Courses of Study 2019-2020 [ARCHIVED CATALOG]

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MATH 6150 - Partial Differential Equations


     
Fall (offered alternate years). 4 credits. Student option grading.

Prerequisite: MATH 4130 , MATH 4140 , or the equivalent, or permission of instructor.

Staff.

This course emphasizes the “classical” aspects of partial differential equations (PDEs).  The usual topics include fundamental solutions for the Laplace/Poisson, heat and and wave equations in Rn, mean-value properties, maximum principles, energy methods, Duhamel’s principle, and an introduction to nonlinear first-order equations, including shocks and weak solutions. Additional topics may include Hamilton-Jacobi equations, distribution theory, and the Fourier transform.



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