METHODS IN APPLIED MATHEMATICS COURSE (Fall 2018 – Spring 2019)
Methods in Applied Mathematics
Wachman Hall 527
Wachman Hall 514
MW 11:00–12:00 & 2:20–2:50
This two-semester course gives a general overview of mathematical concepts and tools for applied mathematics. Topics covered in the first semester (Math 8007) include modeling and derivation of equations of continuum mechanics; solution methods for linear PDE in special domains, such as Fourier and Laplace transforms as well as Green's functions; calculus of variations and control theory. Material covered in the second semester (Math 8008) of the course is largely independent of the first semester; it includes the following topics: dynamical systems and bifurcation theory; asymptotic analysis and perturbation theory; systems of hyperbolic conservation laws.
Homework makes up 70% and the final presentation 30% of the grade.