MAT 360 Differential Equations
Syllabus Spring 2007
Instructor: André Wehner, Olin 111, Ph. 238-5919, e-mail wehner@centre.edu,
Office Hours: M-W-F: 10:20-11:20; Tu-Th: 9:10-12:30, M-Th: 5-6, or by appointment.
Study sessions as needed.
Class Time:
Text: Elementary Differential Equations and Boundary Value Problems, 8th edition, Boyce & DiPrima
Grading: 3 tests @ 10% each = 30%
Final 25%
10 quizzes @ 2% each = 20%
Homework 25%
Tentative grading scale: 90 = A-, 80 = B-, 70 = C-, 60 = D
Course Description
Most laws of nature involve the rates at which things change. When
translated into mathematical models, these relationships become equations which
contain derivatives. The study of these differential equations is
critical to understanding the behavior of the world around us. We will begin
our study with first order differential equations, including linear, separable,
exact, and homogeneous equations. Our discussion of higher order differential
equations will focus on linear equations. We will discuss the methods of
undetermined coefficients and of variation of parameters. In addition, we will
consider series solutions to differential equations as well as the
I expect you to be prepared for class and to participate in class every day – being prepared means at the very least doing your homework, reading the assignment, and looking over notes from previous classes. Please let me know in advance if you must be absent for a scheduled college activity. Three unexcused absences will result in a lowering of the grade. It is your responsibility to make use of the resources available to help you do well in this course. I encourage you to visit me in my office, attend the study sessions, read material in advance, and form study groups with other students in the class.
Assigned homework is listed below and will be collected on quiz and test days. It will be spot-checked and scored based on the following scheme: 1 point if you attempt a problem, 2 points if you provide a complete solution (not just the answer from the back of the book), and 0 for not doing a problem. Late homework will not be accepted (of course, exceptions can be made for emergencies).
The quizzes (10 minutes), tests (1 hour), and the final (3 hours) will closely mirror the assigned homework problems. They are “closed everything.” On some of them, calculators/Maple will be allowed. The quizzes will be given at the beginning of class. If you are late, you will not be given extra time. If you have to miss class for a valid reason (proof required!), you will be allowed to make up a quiz or test. If you know in advance you will have to miss a test or quiz, you should make arrangements to take it early. The solutions you present in the quizzes and tests must be complete, coherent, and well-organized. You must show all work for full credit. Expect to be graded on a 90-80-70 scale, depending on the class average.
In cooperation with the disability resource center, reasonable accommodation will be provided for students with disabilities. Please meet the instructor during the first week of class to make suitable arrangements.
This syllabus can be found at http://web.centre.edu/wehner/courses/m360s07.htm .
Schedule
|
Day |
Section covered |
Homework |
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2/2 |
Introduction |
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2/5 |
|
1.1: 1, 7, 15, 17, 23, 26; |
|
2/7 |
2.1 |
1, 7, 14, 15, 16, 19, 20, 22, 30, 31 |
|
2/9 |
2.2; Quiz 1 |
1, 3, 4, 7, 9, 11, 12, 13, 21, 23, 24, 30, 31, 32 |
|
2/12 |
2.3 |
1, 3, 7, 12, 13, 16, 20, 21, 22, 32 |
|
2/14 |
2.4 |
1, 3, 4, 5, 7, 8, 11, 13, 22, 23, 25, 27, 32 |
|
2/16 |
2.5; Quiz 2 |
2, 3, 4, 5, 7, 9, 13, 20, 22, 23 |
|
2/19 |
2.6 |
1, 2, 4, 7, 10, 11, 13, 15, 18, 19, 23, 26, 27 |
|
2/21 |
2.7 |
1, 2, 3, 4, 5/11, 6/12, 9/16, 15, 20, 21 |
|
2/23 |
p. 133 |
36, 38, 42, 44 |
|
2/26 |
Test 1 |
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2/28 |
3.1 |
1, 3, 7, 9, 12, 15, 17, 20, 21, 23, 28 |
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3/2 |
3.2 |
1, 2, 4, 7, 9, 13, 14, 17, 21, 23, 24, 28, 29 |
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3/5 |
3.3; Quiz 3 |
1, 4, 6, 7, 9, 11, 12, 15, 17, 20, 21, 24, 28 |
|
3/7 |
3.4 |
1, 4, 7, 11, 15, 17, 19, 21, 27, 28, 29, 32 |
|
3/9 |
3.5 |
1-9 odd, 11, 14, 16, 19, 20, 23, 25, 26, 33, 34, 36 |
|
3/12 |
3.6; Quiz 4 |
1-7, 13, 14, 19, 21, 23 |
|
3/14 |
3.7 |
1, 2, 5, 6, 7, 10, 13, 15, 17 |
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3/16 |
3.8 |
1, 2, 5, 6, 7, 14, 17, 19, 24 |
|
3/26 |
3.9: Quiz 5 |
5, 7, 17 |
|
3/28 |
Test 2 |
|
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3/30 |
4.1 |
6, 7, 8, 12, 13, 15, 17, 18, 19, 21, 22 |
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4/2 |
4.2 |
1, 2, 7, 8, 11, 13, 15, 18, 22, 29, 31 |
|
4/4 |
4.3, 4.4 |
4.3: 1, 2, 9, 13, 15, 18 |
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4/6 |
5.1; Quiz 6 |
1-8, 10, 11, 15, 16, 17, 20, 21, 22, 24 |
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4/9 |
5.2 |
2, 3, 6, 9, 12, 15, 21, 23 |
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4/11 |
5.3 |
1, 4, 5, 6, 7, 10, 12, 16, 20, 22-27 |
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4/13 |
5.4; Quiz 7 |
1, 2, 3, 5, 6, 10, 12, 19, 20 |
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4/16 |
5.5 |
1, 2, 3, 4, 8, 9, 10, 13, 15, 16, 21, 22, 23, 24 |
|
4/18 |
5.6 |
1, 3, 8, 14 |
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4/20 |
5.7; Quiz 8 |
1, 3, 4, 7, 11, 14, 16, 20 |
|
4/23 |
5.8 |
1, 3, 5, 6 |
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4/25 |
Test 3 |
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4/27 |
6.1 |
1, 2, 3, 5, 6, 7, 11, 13, 15, 16, 26 |
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4/30 |
6.2 |
1, 2, 3, 5, 8, 12, 14, 19, 21, 22, 26 |
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5/2 |
6.3; Quiz 9 |
1, 2, 3, 7, 10, 11, 14, 15, 18, 19, 20, 28, 29 |
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5/4 |
6.4 |
1, 3, 5, 7, 12 |
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5/7 |
6.5 |
1, 2, 5, 7, 12, 17 |
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5/9 |
6.6; Quiz 10 |
1, 3, 4, 5, 8, 9, 13, 15, 17, 19 |
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5/12 pm |
Final |
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