An introduction to differential equations for students interested in mathematics, and the physical and social sciences. Covers first- and second-order differential equations and systems of first-order equations, both linear and non-linear. Quantitative and numerical analysis are emphasized along with analytic techniques, such as Laplace transform and matrix methods. Applications and modeling of real phenomena are discussed throughout the course.
Calculus III, MAT-233, or the equivalent as demonstrated through multiple measures.