First order equations, linear systems, variation of parameters, method of undetermined coefficients, Laplace transforms, power series solutions, fundamental matrix solution. Existence and uniqueness of solutions, properties of linear systems, eigenvalue problems, vector fields, phase-plane analysis. Liapunov method.
Prerequisite: MATH 2013 or MATH 2513 . NOTE: Credit cannot be obtained for both Math 3043 and Math 3503 .