This course is an introduction to the theory of differential equations?the methods and theory of solving them. Students will learn to classify differential equations by type, to consider uniqueness and existence properties, and to employ analytic methods for solving first-order and second-order differential equations. Students explore series solutions, matrix methods, Laplace transforms, and numerical methods on computer and calculator to solve differential equations and applications. Graphing calculators, DERIVE, and MAPLE may be used extensively to explore and reinforce the material.Prerequisite: MAT 2420 Calculus II or equivalent.