AM212: 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. Prerequisites: 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.

5 credits

Year Fall Winter Spring Summer

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