Applied Mathematics

AM 212 Advanced Methods of Applied Mathematics

Overview of advanced methods for the analytical solution of ODEs and PDEs, including asymptotic analysis (method of strained coordinates; method of multiple scales; matched asymptotics; WKB theory), dimensional analysis, self-similar solutions and Green’s function solutions of PDEs. Introduces students to variational calculus for the optimization of functionals. Students cannot receive credit for this course and AM 212B.

Requirements

Enrollment is restricted to graduate students or by permission of instructor. Students taking this course need at least one prior undergraduate or M.S.-level course in partial differential equations, similar to AM 112, MATH 107 or PHYS 116C.

Credits

5