MATH 285 - Differential Equations

Credits: 3

Description
Theory and techniques for constant and variable coefficient ordinary linear differential equations. Also included are a number of non-linear types of ordinary differential equations. Emphasis will be on those differential equations arising from modeling real world phenomena.

Student Learning Outcomes

Learn how to apply separation of variable techniques and variation of parameters to solve a variety of real word-type problems.
Apply numerical solution techniques, including the Runge-Kutta methods, error-analysis and direction fields. May include a number of required computer lab assignments.
Be able to solve a variety of linear first-order equations using real and complex Eigenvalues, variation of parameters, and matrix exponential techniques.
Learn to apply techniques for homogeneous and non-homogeneous equations, reduction of order, constant coefficients.
Apply techniques such as the superposition and annihilator approach.
Understand and use the Laplace Transformation, inverse transform, translation on the s-axis, and transform on the t-axis.

Prerequisite: MATH 182 with a grade of C or better
Corequisite: None

Graded: Letter Grade