Singularly perturbed boundary value problems, layer type expansions and matching. Initial value problems and multiscaling methods for ordinary and partial differential equations. Phase plane and qualitative ideas. Applications. Perturbations of Hamiltonian systems.
Prerequisite: 462, 463.
Introduction to Ordinary Differential Equations - MATH 462 / 512
Introduction to Partial Differential Equations - MATH 463 / 513