MATH 271 - Differential Equations

5.0 Credits
First- and second-order differential equations and their applications, Laplace transforms, and series solutions of ordinary differential equations.
Prerequisite MATH& 153 with a minimum grade of 2.0.
Course-level Learning Objectives (CLOs)
Upon successful completion of this course, students will be able to:

Classify ordinary differential equations (ODEs) and initial value problems (IVPs).
Use existence and uniqueness theorems and direction fields to describe the number and behavior of solutions to IVPs.
Solve first-order linear, separable, and exact ODEs and IVPs.
Model physical situations using first-order IVPs.
Solve second-order linear, homogeneous, and nonhomogenous equations by means of undetermined coefficients and variation of parameters.
Model physical situations using second-order IVPs.
Use Laplace transforms to solve IVPs.
Use power series to compute series solutions to second-order linear ODEs and IVPs.