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Course Title: Differential Equations
Short Title: Differential Equations
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Course Number: MTH: 240
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Course Level: 200-299 Advanced level credit courses
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Course Description:
This course introduces methods of solving ordinary differential equations including LaPlace transforms and differential operators with applications.
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Credit Hours: 3.00
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Weekly contact hours: a.
Lecture Hours: 3.00 b.
Lab Hours: 0.00 c.
Studio Hours: 0.00 d.
Activity Hours: 0.00 e.
Clinical Hours: 0.00 f.
Workplace Learning Hours: 0.00 g.
Other Hours: 0.00
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Requisites:
Prerequisite: MTH 230 with a grade of "C" or better and
Prerequisite: Reading Proficiency
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Upon successful completion of the course, the student will know or understand:
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solution of separable first order differential equations
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solution of exact first order differential equations.
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solution of linear first order differential equations.
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solution of special nonlinear first order differential equations by changes of variable (including
Bernoulli's equation and equations with homogeneous coefficients).
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determination of linear independence of functions using the Wronskian.
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general solutions of linear differential equations.
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auxiliary equations for linear differential equations with constant coefficients,
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the method of undetermined coefficients
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reduction of order and variation of parameters,
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the exponential shift.
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the Laplace transform and differential equations.

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first-order linear systems of differential equations.
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Upon successful completion of the course, the student will demonstrate the ability to:
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Students will solve separable first order differential equations.
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Students will solve exact first order differential equations
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Students will solve linear first order differential equations.
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Students will solve some special nonlinear first order differential equations by changes of variable
(including Bernoulli's equation and equations with homogeneous coefficients).
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Students will determine the linear independence of functions using the Wronskian.
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Students will recognize the form of the general solution of a linear differential equation.
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Students will solve higher order homogeneous linear differential equations with constant coefficients using auxiliary equations.
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Students will solve higher order linear differential equations using the method of undetermined coefficients.
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Students will solve higher order linear differential equations using reduction of order and variation of parameters.
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Students will solve higher order linear differential equations using the exponential shift.
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Students will solve higher order linear differential equations using the Laplace transform.
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Students will solve first-order linear systems of differential equations using eigenvectors and eigenvalues.
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Minimum Requirements:
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Testing: Students will complete written tests in class, including a comprehensive final exam a.
Writing Requirements: Writing assignments beyond what is necessary for the test are encouraged but not required. b.
Projects: Projects involving technology and applications of the material are encouraged but not required. c.
Other (please specify): Homework is assigned so the student may practice using the vocabulary and the methods discussed in class. This practice is directly related to test performance and in that sense is a course requirement