2015-2016 Academic Catalog 
    
    Mar 01, 2024  
2015-2016 Academic 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 or equivalent with a minimum grade of 2.0. Corequisite


Course-level Learning Objectives (CLOs)
Upon successful completion of this course, students will be able to:

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



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