Math 2306 Ordinary Differential Equations Fall 2007
Prerequisite : Completion of Math 2254
Section 04 : 6.00-7.15pm; T,Th; Room D 220
Section 05 : 7.30-8.45pm; T,Th; Room D 220
Instructor : Dr. Andrew G. McMorran
Office : D 114
Office hrs : 3.30-6.00pm; T,Th
or by appointment
Tel # : 678-915-5553
email : amcmorra@spsu.edu
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Three tests - 20% each
Homework - 20%
Final exam - 20%
Any request for a make-up test must be received by the instructor prior to the starting time of any scheduled test. Students are restricted to at most one make-up test.
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Text book - Differential Equations with Boundary-Value Problems, 5'th edition; Zill&Cullen
Required Calculator - None
Where permitted any calculator may be used.
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Upon completing this course students should be able to:
1. Solve first-order separable and linear differential equations, and use these methods to solve applied problems.
2. Solve higher-order constant-coefficient linear differential equations and systems of differential equations, and use these methods to solve applied problems.
3. Find Laplace transforms and inverse transforms, and apply these to solve differential equations.
4. Find the Fourier series of a function.
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Classes begin : Monday 20'th, August
Labor Day Holiday : Monday 3'rd, September
Last day to withdraw with a grade of W : Thursday 11'th, October
Thanksgiving Holiday : 21'st-23'rd, November
Last day of classes : Thursday 6'th, December
Date and time of final exam : To be announced.
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Students with disabilities who believe that they need accommodations in this class are encouraged to contact the counselor working with disabilities at 678-915-7244 as soon as possible to better insure that such accommodations are implemented in a timely fashion.
Methods of solving ordinary differential equations of first
and higher order.
Systems of linear differential equations, solutions using the Laplace transform.
Fourier series. Mechanical and electrical engineering applications are
included.
Suggested course outline Course will vary with individual
instructors
Text: Zill, 5th edition
| Section | Assignment |
| 1.1 | Pg. 10: 1-9, 11-13, 17-20, 25, 26 |
| 1.2 | Pg. 19: 1-10 |
| 1.3 | Pg. 31: Mixture: 9, 10, Circuits: 13, 14, Falling bodies: 15 |
| 2.1 (optional) | Pg. 47: 1-5, 7, 13, 14 |
| 2.2 | Pg. 57 1-7, 10, 13, 14, 16, 17, 23, 24, 30, 34 |
| 2.3 | Pg. 69 1-11, 13, 14, 19, 20, 23, 25, 27 |
| 3.1 | Pg. 103 Growth: 1-4, 7-9, Mixture: 17-22, Circuits: 23-26 |
| Test #1 | |
| 4.1 | Pg. 152 1-5, 13-16, 19, 21, 23, 25-27, 31, 33 |
| 4.2 | Pg. 157 1, 2, 6-11, 16 |
| 4.3 | Pg. 163 1-13, 15, 17-19, 21, 29-31, 34, 37-39, 51-53 |
| 4.4 | Pg. 176 1-5, 8-10, 12, 13, 21, 23, 27, 29, 31 |
| 4.6 | Pg. 192 1-4, 6, 10, 12 |
| Test #2 | |
| 4.8 | Pg. 205 1-13, 21, 22 |
| 5.1.1 | Pg. 229 1, 3, 5, 6, 7, 9, 11 |
| 5.1.2 | Pg. 231 17-20, 23, 25-27 |
| 5.1.3 | Pg. 233 29-31, 36, 38 |
| 5.1.4 | Pg. 236 45-49, 53 |
| Test #3 | |
| 7.1 | Pg. 312 1-4, 7-10, 19-32 |
| 7.2 | Pg. 322 1-21, 23, 25, 26, 31-36, 38 |
| 7.3 | Pg. 333 1-9, 13-18, 21-27 (Odd), 28, 43, 45-47 |
| 7.6 | Pg. 359 1-8, 15, 17, 19 |
| 11.2 | Pg. 494 1-8, 11-14 |
| 11.3 | Pg. 501 1-9, 11, 15, 17-20 |
| Test #4 |