Ordinary Differential Equations: Math 46
Spring 2003, MWF 1:10--2:00 in Geology Building 1408
Announcements
Homework
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Homework 10, not to be turned in.
- Read sections 8.1-8.3, 8.6.
- Section 8.2: 1(a,d,e), 2(a,e), 3(a,c), 4(a), 5(d).
- Section 8.3: 1, 8, 17.
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Homework 9, due June 3.
- Section 7.4: 1, 6, 13, 21.
- Section 8.1: 1(a,b), 2(a,b,h), 4(a,b), 5(a,c), 6.
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Homework 8, due May 27.
- Read sections 7.1-7.3.
- Section 7.2: 4, 21, 27, 31.
- Section 7.3: 2, 21, 35.
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Homework 7, due May 20.
- Read sections 5.5, 5.7, 7.1.
- Section 5.5: 1, 25, 29.
- Section 5.7: 3, 12, 24, 36.
- Section 7.1: 1(a,c,d), 4, 5(a-d), 11, 13.
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Homework 6, due May 13.
- Read sections 5.2-5.5.
- Section 5.2: 1, 5, 14, 17, 29.
- Section 5.3: 3, 7, 9, 18, 35.
- Section 5.4: 4, 10, 16, 25.
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Homework 5, due May 6.
- Read sections 5.1-5.2.
- Section 5.1: 5acd, 7, 9, 11, 40.
- The midterm exam was in class on Wednesday, April 30. It covered sections 1.1-1.3, 2.1-2.5, 4.1, 4.3, and 5.1 until page 188.
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Homework 4, not to be turned in.
- Read sections 4.1, 4.3, 5.1.
- Section 4.1: 3, 7, 9, 15.
- Section 4.3: 1, 3, 7, 14*.
- Section 5.1: 1, 2.
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Homework 3, due April 22.
- Read sections 2.3-2.5, 4.1.
- Section 2.3: 1, 8, 9, 17, 18.
- Section 2.4: 1, 7, 23, 24, 25.
- Section 2.5: 1, 5, 6, 19, 29a.
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Homework 2, due April 15.
- Read sections 1.3, 2.1-2.3.
- Section 1.3: 2, 7, 17.
- Section 2.1: 2, 8, 31, 40, 46.
- Section 2.2: 1, 12, 18.
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Homework 1, due April 8.
- Read sections 1.1-1.3, 2.1.
- Section 1.2: 1ad, 2af, 3cg, 4cf, 5ac.
Syllabus
Professor: Michael Anshelevich, 250 Surge Building.
Office hours: M 4--5, W 2--2:50.
The office hours for my other class are F 4--5. You are welcome to come by then, but the students from the other class have priority.
TA: John Dougherty, discussion sections T 8:40--9:30, 12:40--1:30.
Text: William F. Trench, ``Elementary Differential Equations,'' Brooks/Cole, 2000.
Prerequisites: Math 9 or equivalent. That is, the students should be familiar with differentiation, integration, and the basics of power series.
Topics:
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First order differential equations: theory and methods of solution.
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First order differential equations: applications.
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Second order linear differential equations: methods and applications.
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Series solutions of linear differential equations.
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Laplace transform methods.
Exams: We will have an in-class midterm on April 30th. The final exam is on Monday, June 9, 11:30 am - 2:30 pm. No make-up exams will be given. If, under completely exceptional circumstances, you need to miss the midterm, the weight of the final will be adjusted accordingly. If you miss the final, you automatically fail the course. The exams are closed book, closed notes, and calculators are not permitted.
Homework: weekly, due Tuesdays in section. No late homework will be accepted; the lowest score will be dropped. You are encouraged to work together, but you must each turn in your own work.
Quizzes: in section, about every other week.
Grading: Section (homework, quizzes, participation) 25%, midterm 30%, final 45%.
Other important dates: April 18 (last day to add or drop a course), May 9 (last day to withdraw from a course).
Students with disabilities: Please come talk to me no later than the first week of classes.
Keys to success: Solve all the homework problems, well before the exams. Spend more than seven hours per week doing so. Form study groups to discuss the course material and homework problems. Read ahead in the text.