2012-2013 Catalog 
    Mar 29, 2023  
2012-2013 Catalog [ARCHIVED CATALOG]

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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. Graphing calculator required. Prerequisite: MATH& 153  (was MATH 153) or equivalent with a grade of 2.0 or higher, or concurrent enrollment in MATH& 153 .

Course Objectives
Upon successful completion of this course, students will be able to:

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

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