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. Number of Instructional Minutes
- 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
Course Learning Goals
- recognize various types of differential equations;
- solve differential equations by special techniques;
- apply differential equations to solve problems involving mechanical vibrations; and
- 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 Course Learning Goals
The student applies mathematical concepts and principles to identify and solve problems presented through informal assessment, such as oral communication among students and between teacher and students. Formal assessment consists of open-ended questions reflecting theoretical and applied situations.
A minimum of 70% of a student's grade must be determined from proctored assessments and work. These proctored assessments include tests, quizzes, final exam, or other proctored in-class assignments.
The final exam must be at least 20% of the course grade. Study guides, formula sheets, and other aids may not be used on the final exam.
Reference, Resource, or Learning Materials to be used by Student:Departmentally-selected textbook and a TI-30X IIS scientific calculator (not the MultiView series). Details provided by the instructor of each course section. See course syllabus.
Review/Approval Date - 9/98; New Core 8/2015; Updated 11/2019