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MAT 262 Ordinary Differential Equations
Credit Hours:  3
Effective Term: Fall 2015
SUN#: MAT 2262
AGEC: Mathematics  
Credit Breakdown: 3 Lectures
Times for Credit: 1
Grading Option: A/F Only

Description: An introduction to first and higher order ordinary differential equations with applications.

Prerequisites: MAT231

Corequisites: None

Recommendations: None

Measurable Student Learning Outcomes
1. (Knowledge Level) Define various types of differential equations.
2. (Analysis Level) Compare various techniques to solve first-order differential equations.
3. (Evaluation Level) Determine and justify the general solution of a higher-order differential equation.
4. (Application Level) Solve real-life problems using first and higher order differential equations.
5. (Analysis Level) Deduce the series solutions of linear second-order differential equations using the Frobenius method.
6. (Analysis Level) Analyze and solve systems of ordinary linear differential equations by differential operator, Laplace Transforms and/or matrix methods.
Internal/External Standards Accreditation
1. Accurately identify and describe the definitions and terminology of differential equations.
2a. Use appropriate method to solve separable, linear, exact, homogeneous, and Bernoulli first-order differential equations.
2b. Accurately solve first-order initial-value problems.
3. Apply an appropriate method to solve higher-order differential equations and higher-order initial-value problems.
4a. Use best fit mathematical models to solve exponential growth/decay,cooling of bodies, mixture, and motion problems.
4b. Solve applications of spring/mass systems using appropriate higher-order initial value differential operations.
5. Correctly use the Frobenius method to obtain two linearly independent series solutions of a linear second-order differential equation.
6a. Apply appropriate operational properties of the Laplace Transforms to transform a function.
6b. Accurately solve systems of ordinary linear differential equations by differential operator, Laplace, or matrix methods.