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