MATH 238 - Differential Equations

Credits: 5
Study of the theory and solutions of first and second order differential equations, existence and uniqueness theorems, numerical methods of solution, and applications. Additional topics may be chosen from the following: series solutions for differential equations, systems of linear differential equations, Laplace transforms, and stability theory. Graphing calculator required.

Prerequisite: MATH& 254  with a grade of 2.0 or higher; or appropriate math placement.

Satisfies Requirement: Natural Science and Quantitative Skills

Course Outcomes:
Students who successfully complete this class will be able to:

1. Solve separable, exact and linear first order differential equations.
2. Solve higher order linear or Cauchy-Euler differential equations.
3. Apply the theory of differential equations to solve problems from various disciplines.
4. Apply the existence and uniqueness theorems to first and second order equations.
5. Apply direction fields and numerical methods to approximate solutions.

1. Recognize which quantitative or symbolic reasoning methods are appropriate for solving a given problem.

2. Correctly implement the quantitative or symbolic reasoning methods that are appropriate for solving a given problem.

3. Translate data into various formats such as symbolic language, equations, graphs, and formulas.

• Quantitative and Symbolic Reasoning - Quantitative Reasoning encompasses abilities necessary for a student to become literate in today’s technological world. Quantitative reasoning begins with basic skills and extends to problem solving.