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May 20, 2024
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MATH 271 - Differential Equations
5.00 Credits
First- and second-order differential equations and their applications, Laplace transforms, and series solutions of ordinary differential equations.
Prerequisite 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.
Course Typically Offered
Winter, Spring
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