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.