MATH 5136: Ordin Diff Equa And Dynam Sys Prerequisites: MATH 3131, MATH 3231, and MATH 4131 or equivalent. This course covers the dynamical aspects of ordinary differential equations and the relationship between theory and applications. Fundamental theorems of solutions of ordinary differential equations oriented toward dynamical systems, local globe phase portrait analyses of nonlinear autonomous systems, and the criteria for the existence of periodic solutions are examined along with various applications.