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.