Catalog Course Search Details

 Department:    MATH

 Course #:    238

 Credits:    5

 Variable:     No

 IUs:    5

 CIP:    270101

 EPC:    n/a

 REV:    2019

 Course Description  

An introductory course in differential equations including first order equations, second order and higher order equations, applications to physical and other systems.

 Prerequisite  

Prerequisite: MATH& 153 with a grade of C or better.

Contact Hours (based on 11 week quarter)

Lecture: 55

Lab: 0

Other: 0

Systems: 0

Clinical: 0

Intent: Distribution Requirement(s) Status:  

Academic Elective  

Equivalencies At Other Institutions

Learning Outcomes

After completing this course, the student will be able to:

1. Solve first and second order linear differential equations
2. Solver separable and exact equations
3. Solve ODEs using reduction of order, method of undetermined coefficients, and the method of variation of parameters.
4. Use ODEs to analyze physical applications and other systems.
5. Graphically and numerically solve ODEs using computer programs and calculators.
6. Apply alternative mathematical techniques, from a historical perspective where appropriate.
7. Understand how mathematics is used in other fields and occupations.
8. Understand the use of mathematics cross-culturally.

General Education Learning Values & Outcomes

Revised August 2008 and affects outlines for 2008 year 1 and later.

Course Contents

1. First order linear and non-linear equations
2. Separable equations
3. Exact equations
4. Integrating factors
5. Fundamental solutions of the homogneous equation
6. Solutions to non-homogenous equations
7. Methods of undetermined coefficients
8. Method of variation of parameter
9. Homogenous equations with constant coefficients
10. Initial value problems
11. Applications to elementary mechanics, population dynamics, vibration, and other physical systems
12. Laplace transforms (optional)