Short Course Description
Topics include: Existence and uniqueness of ODEs. Exponentiating matrices and linear ODEs. Bases of solutions and Wronskians. Green's functions. Method of variation of parameters. Qualitative theory of non-linear systems. Boundary value problems. Sturm-Liouville theory.
Full syllabus is to be published
I expect familiarity with linear algebra and multi-variable calculus (chain rule, equality of mixed partials).