MATH-260 Differential Equations
This course consists of concepts generally encountered in a first course in differential equations including a comprehensive treatment of first-order differential equations employing a variety of solutions techniques. A study of higher-order equations, largely second-order, is included with emphasis on linear equations possessing constant coefficients as well as variable coefficients. Classical and contemporary applications are included throughout, coming from diverse fields such as mechanics, electrical circuits, and economics. MATLAB is used to provide an integrated environment for symbolic, graphic, and numeric investigations of routine solutions of differential equations and of modeling physical phenomena. The course concludes with a discussion of the Laplace transform and its application to linear equations with constant coefficients. Prerequisite: MATH-182 or equivalent; a grade of C or higher is recommended.