## MATH 345 : Differential Equations and Matrix Methods

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MATH 345-WW
Campus
Worldwide
College of Arts & Sciences (WARSC)
MATH
345
Differential Equations and Matrix Methods
4
This course is a study of the treatment of ordinary differential equations to include principle types of first and second order equations; methods of substitution on simple higher order equations; linear equations and systems of linear equations with constant coefficients; methods of undetermined coefficients and variation of parameters; Laplace transforms; series solutions; linear algebra and matrix methods of solutions; applications to physics and engineering.

The purpose of this course is to provide intermediate mathematical skills for students to use in many of the applications they will encounter in future engineering courses.

1. Recognize and solve separable, homogeneous, exact, and linear first order differential equations.

2. Construct and solve appropriate differential equations for applied problems involving mixtures, populations, and Newtonian Mechanics.

3. Calculate numerical solutions of differential equations.

4. Solve homogeneous, linear second and higher order differential equations with constant coefficients.

5. Solve non-homogeneous, linear second and higher order differential equations with constant coefficients by the Method of Undetermined Coefficients and the Method of Variation of Parameters.

6. Construct and solve applied problems involving mechanical vibrations, forced vibrations, and electric circuits.

7. Compute Laplace transforms of polynomials, exponential and trigonometric function.

8. Compute inverse Laplace transforms of rational functions and solve initial-value problems by Laplace Transform Method.

9. Find a power series solution to a given differential equation.

10. Solve a linear system by the Gauss-Jordan elimination method and by Matrix Methods.

11. Compute eigenvalues and eigenvectors of a given matrix.

12. Solve systems of 1st order linear differential equations by Matrix Methods

Located on the Daytona Beach Campus, the Jack R. Hunt Library is the primary library for all students of the Worldwide Campus. The Chief Academic Officer strongly recommends that every faculty member, where appropriate, require all students in his or her classes to access the Hunt Library or a comparable college-level local library for research. The results of this research can be used for class projects such as research papers, group discussion, or individual presentations. Students should feel comfortable with using the resources of the library.

Web & Chat: http://huntlibrary.erau.edu
Email:  library@erau.edu
Text: (386) 968-8843
Library Phone:  (386) 226-7656 or (800) 678-9428

Written assignments must be formatted in accordance with the current edition of the Publication Manual of the American Psychological Association (APA) unless otherwise instructed in individual assignments.

90 - 100% A
80 - 89% B
70 - 79% C
60 - 69% D
0 - 60% F

90 - 100% A
80 - 89% B
70 - 79% C
0 - 69% F
Heather L Garten, Ph.D. - 3/31/2015
gartenh@erau.edu
Johnelle Korioth, Ph.D. - 3/31/2015
korio43b@erau.edu
Johnelle Korioth, Ph.D. - 3/31/2015
korio43b@erau.edu
Dr. James Schultz – 3/31/2015
schul9fd@erau.edu
Key: 215