Math 321 Differential Equations

Course Description

(4-0) 4 credits. Prerequisite: MATH 125 with a minimum grade of “C.” Selected topics from ordinary differential equations including development and applications of first order, higher order linear and systems of linear equations, general solutions and solutions to initial-value problems using matrices. Additional topics may include Laplace transforms and power series solutions. MATH 225 and MATH 321 may be taken concurrently or in either order. In addition to analytical methods this course will also provide an introduction to numerical solution techniques.

Couse Learning Outcomes

A student who successfully completes this course should be able to:

  1. identify an appropriate method and use it to solve first order ordinary differential equation
  2. solve homogeneous and non-homogeneous higher order ordinary differential equations
  3. implement the use of Laplace Transforms to solve an ordinary differential equation
  4. analyze and solve applications involving ordinary differential equations. Some examples of applications include: circuits, vibrating systems, chemical mixing, and population modeling.
  5. apply the techniques for solving linear systems of ordinary differential equations
  6. implement the use of a software package to aid in solving differential equations numerically and analytically