To solve analytically and numerically differential equations; to perform qualitative analysis and understand long term behavior of systems; to apply differential equations to physics, chemistry, population dynamics, and medicine.
Classification of differential equations; existence and uniqueness of solutions; initial-value problems, boundary-value problems; power series methods, integral transforms; numerical algorithms and error estimation; topological methods. Prerequisite(s): MAT 1413. This course may be taken as a prerequisite.
3.000 Credit hours