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MAT255 - Differential Equations
Catalog Description: Covers solutions of first order differential equations, Euler's Method, linear differential equations with constant coefficients, non-linear equations, LaPlace transforms, numerical solutions, and series solutions. Applications focus on modeling with first- and second-order linear equations. CAS Software (such as Derive or Maple) will be used for solving a variety of application problems. Spring only. Prerequisite: MAT 142 with a grade of ‘C’ or higher or by placement.
Lecture: 4 hrs.
Course Learning Outcomes (CLOs):
Upon the successful completion of this course, a student will be able to:
1. Show that a function of the form y = y(x) is a valid solution to a given differential equation.
2. Find a solution to any first order differential equation (DE) (Separable, Linear, Exact, Homogeneous, or Bernoulli)
3. Use Euler's Method to approximate solutions to first order DE's
4. Solve application problems related to first order DE's.
5. Find a solution to a second order linear DE using various methods (Method of Constant Coefficients, Method of Undetermined Coefficients using Annihilator approach, Variation of Parameters, Cauchy-Euler technique)
6. Solve application problems related to second order DE's.
7. Find a power series solution to a DE with polynomial coefficients
8. Use the Laplace transform method to solve a DE
Effective Term: Fall 2019