This course introduces advanced foundational techniques used to solve problems arising in applied mathematics, science and engineering. Topics include dimensional analysis and scaling, mathematical modeling, perturbation methods, and asymptotic expansions. Additional topics may include the calculus of variations, similarity methods, integral transforms, Fourier series, special functions, and the derivation of models from conservation laws and constitutive equations; other topics may be selected at the discretion of the instructor. Fall, odd years.
Prerequisite:
MATH 260 Minimum Grade: C-