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MATH 346

MATH 346: Ordinary Differential Equations with Computation

Prerequisites: A grade of "C" or better in MATH 172.

Credit Hours: (3)

A first course in the study of differential equations. Topics include first order differential equations, linear differential equations of higher order, the Laplace transform, and systems of differential equations. Real-world applications are emphasized throughout, including problems in science and engineering. Numerical methods are also introduced to approximate solutions to models.

Note(s): Scientific and Quantitative Reasoning designated course.


Detailed Description of Course

Topics typically include:
    1) First order differential equations, including linear, separable and exact differential equations
    2) Second and higher order equations, fundamental solutions and linear independence
    3) Equations with constant coefficients
    4) Linear systems of first order equations
    5) The Laplace transform
    6) Numerical methods
    7) Techniques for non-linear systems
    8) Applications


Detailed Description of Conduct of Course

Classes will be conducted in lecture format with time reserved for discussion.  The students will be required to use current technologies for some of the assignments, and a few (2-5) lectures will serve as laboratory sessions in preparation for these assignments.


Goals and Objectives of the Course

Acquire a working knowledge of basic results and methods for differential equations.
Students will be able to:

  1. Classify and identify a valid method to solve/evaluate a differential equation.
  2. Identify trade-offs when more than one method is valid.
  3. Use established models related to ordinary differential equations.
  4. Numerically solve differential equations and study the behavior of their solutions.


Assessment Measures

Assessment of student success will be based on tests, homework assignments, projects, and performance in class and in laboratory activities.


Other Course Information

None.

 

Review and Approval

November 7, 2017

September 2, 2014

March 2009 Review Jill Stewart, Chair

September 2001 Review Stephen Corwin, Chair

March 01, 2021

January 6, 2026