| Catalog Data |
This course is an introduction to the concepts and methods of ordinary differential equations. Topics include: first-order equations, elementary numerical methods, qualitative analysis, second-order homogeneous linear equations, the methods of undetermined coefficients and variation of parameters for nonhomogeneous equations, Laplace transforms and models in science and engineering. Prerequisite: Math 132
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| Textbook |
Ordinary Differential Equations: Concepts, Methods and Models, L. C. Becker, CBU Press, 2007
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| Calculator Policy |
You must use a graphing calculator, such as the TI-89, on assignments and occasionally on tests.
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| Computer Use |
You must complete computer worksheets written with commercial software called Maple.
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| Prerequisites |
You must know the fundamentals of calculus, including the definition of the derivative and basic methods of integration.
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| Goals |
You will learn how to solve those ordinary differential equations that are typically encountered in undergraduate science and engineering courses; and, by discussing some simple applications, how to interpret some of these equations and their solutions in a physical setting. You should understand the rationale behind the various methods.
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Syllabus |
| Topic |
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| Introduction to Differential Equations |
| Separable Equations |
| Direction Fields and Solution Curves |
| Numerical Methods for First-Order Equations |
| First-Order Linear Equations |
| Modeling with First-Order Equations |
| Modeling Abrupt Changes |
| Exact Equations |
| Second-order Linear Equations |
| The Laplace Transform |
Tests
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| Final Exam |
The final exam is departmental and comprehensive.
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| Resources |
The
Math Center
located in Cooper Wilson 321 offers free tutoring in differential equations.
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| Attendance |
You must attend class regularly. |
Academics