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
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