Qualitative Theory of Ordinary Differential Equations

Prerequisites: (CASMA 225 or CASMA 230) and (CASMA 226 or CASMA 231) and (CASMA 242 or CASMA 442) or consent of instructor. - Eigenvalues, eigenvectors, Jordan normal forms. Linear systems of differential equations, Phase portrait, Hamiltonian systems, stability theory. Applications to systems arising in mechanics, economics, ecology, electrical circuit theory, etc.