MATH250 Differential Equations
Department of Science, Technology, Engineering & Mathematics: Mathematics
- I. Course Number and Title
- MATH250 Differential Equations
- II. Number of Credits
- 3 credits
- III. Minimum Number of Instructional Minutes Per Semester
- 2250 mintues
- IV. Prerequisites
- MATH141 (C or better)
- V. Other Pertinent Information
- A minimum of three (3) tests and a Departmental Final Examination will be included in the course.
- VI. Catalog Course Description
- Topics for this course include first order and higher order ordinary differential equations; linear differential equations with constant coefficients; differential operators, non-homogenous differential equations and their solutions, special techniques for solving ordinary differential equations, and Laplace transforms.
- VII. Required Course Content and Direction
- To recognize various types of differential equations.
- To solve differential equations by special techniques.
- Applying differential equations to solve problems involving mechanical vibrations.
- To use Laplace Transform to solve differential equations.
Planned Sequence of Topics and/or Learning Activities:
- Direction fields and the approximation method of Euler.
- First order differential equations including separable, exact, linear Homogenous equations and Bernoulli equations.
- Linear Differential Operators.
- Fundamental Solutions of Homogenous equations.
- Homogenous Linear equations with constant coefficients.
- Superposition and Nonhomogenous differential equations.
- Methods of Undetermined coefficients.
- Mechanical Vibrations and Simple Harmonic Motion.
- Damped Free Vibrations and Forced Vibrations.
- Definitions and Properties of Laplace Transform.
- Inverse Laplace Transform.
- Solving initial value problems using Laplace Transform.
- Laplace Transforms and special functions.
Assessment Methods for Core Learning Goals:
Reference, Resource, or Learning Materials to be used by Students:Departmental selected textbook. Details provided by the instructor of each course section. See Course Format.
- VIII. Teaching Methods Employed
- At least one hundred fifty minutes will be devoted each week to the presentation course material in a classroom setting.
Review/Approval Date - 9/98