Series solutions of ordinary differential equations of second order about regular singular points; asymptotic solutions. Systems of ordinary differential equations of first order; matrix methods. Existence and uniqueness theorems. Nonlinear autonomous systems of order 2; qualitative theory. Numerical solutions of ordinary differential equations. Precludes additional credit for MATH 3008. Prerequisite(s): MATH 2404, MATH 2008; and MATH 1102 or MATH 2107.Lectures three hours a week and one hour tutorial.
