Ordinary Differential Equations.

Catalog description

A first course in ordinary differential equations, including analytical solution methods, elementary numerical methods, and modeling. Topics to be covered include: first-order equations including integrating factors, substitutions, and transformations; second-order equations including variation of the method of undetermined coefficients and parameters; series solutions; elementary numerical methods including Euler's methods, Runge-Kutta methods, and error analysis; Laplace transforms; systems of linear equations; boundary-value problems. Students will use MATLAB/GNU Octave to explore direction fields, phase plane analysis, and nonlinear systems. Spring. Prerequisite: MAT 212 with a grade of "C" or higher; Math prerequisite must be met within the last 10 years or permission of the dean.