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MAT 262 Ordinary Differential Equations

Credit Hours: 3Effective Term: Fall 2015SUN#: MAT 2262AGEC: Mathematics |
Credit Breakdown: 3 LecturesTimes for Credit: 1Grading Option: A/F OnlyCross-Listed: |

Measurable Student Learning Outcomes |
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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. |