Syllabus -- Math 1220, Fall 2009
Text: Robert A. Adams, Calculus: Single Variable, 6th ed., 2006
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Week |
Class dates |
Book Sections |
Homework |
HW Due |
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1 |
Aug 27 |
5.5 Fundamental Theorem
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5.5: 3, 8, 11, 18, 27, 35, 39, 42, 47, 51. |
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2. |
Sept 1 Sept 3 |
5.6 Substitution 6.1 Integration by Parts
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5.6: 5, 10, 19, 23, 26, 29, 39, 43, 47, 48. 6.1: 2, 3, 7, 11, 15, 19, 31, 37.
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9/3 |
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3. |
Sept 8 Sept 10 |
6.2 Inverse Substitutions 6.3 Integrals of Rational Functions
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6.2: 3, 10, 13, 17, 22, 29, 31, 34, 47. 6.3: 5, 8, 12, 15, 22, 23, 27, 30, 31.
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9/10 |
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4. |
Sept 15 Sept 17 |
6.5 Improper Integrals 6.6 Trapezoid and midpoint rules
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6.5: 5, 13, 15, 18, 20, 30, 41, 42. 6.6: 5, 6, 7, 12
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9/17 |
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5. |
Sept 22 Sept 24 |
7.1 Volumes of Solids of Revolution 7.2 More Volumes |
7.1: 3, 5, 10, 13, 29. 7.2: 5, 6, 9, 11, 17. |
9/24 |
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6. |
Sept 29 Oct 1 |
7.3 Arclength and Surface Area 7.9 First Order Differential Eqs |
7.3: 5, 7, 12, 15, 20, 25, 29, 34. 7.9: 3,4,6,9,11,16,18,20.
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10/1 |
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First Prelim Tuesday 9/29, 7:30-9:00 pm, GSH142 |
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7. |
Oct 6 Oct 8 |
8.2 Parametric Curves 8.3 Slopes of Parametric Curves
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8.2: 4, 6, 13, 15, 17. 8.3: 3, 13, 15, 21, 24.
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10/8 |
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Fall Break 10/10-10/14 |
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8. |
Oct 15 |
8.4 Arclength and Area for Parametric Curves |
8.4: 3, 6, 11, 13, 16. |
10/15 |
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9. |
Oct 20 Oct 22 |
8.5 Polar Curves 8.6 Slope, Area, Arclength for Polar Curves |
8.5: 3,4,6,10,16,18,19,22,27,29. 8.6: 5,7,8,10,11,12,13,18,22. |
10/22 |
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10. |
Oct 27 Oct 29 |
9.1 Sequences & Convergence 9.2 Infinite Series
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9.1: 5,8,10,18,21. 9.2: 5,8,10,11,15,16.
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10/29 |
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Second Prelim Thursday 10/29, 7:30-9:00 pm, GSH142 |
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11. |
Nov 3 Nov 5 |
9.3 Convergence Tests 9.4 Absolute & Conditional Convergence
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9.3: 3,4,7,10,13,15,17,18, 23,25,38,41. 9.4: 3,5,6,9,17,18,23.
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11/5 |
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12. |
Nov 10 Nov 12 |
9.5 Power Series 9.6 Taylor Series
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9.5: 2,4,7,12,13,15,16,22,27. 9.6: 2, 9, 10, 11, 12, 16, 18, 23, 25, 33, 34, 35.
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11/12 |
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13. |
Nov 17 Nov 19 |
9.7 Applications of Taylor Series 9.8 Binomial Series |
9.7: 15, 16, 18, 23, 24. 9.8: 2, 3, 4, 6, 9*. |
11/19 |
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14. |
Nov 24 |
Appendix 1. Complex Numbers |
Ap. 1: 8,10,21,30,37,41,49,52. |
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Thanksgiving Break |
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15. |
Dec 1 Dec 3 |
17.7 Series solutions of DEs Review |
17.7: 1, 3, 5, 7. |
12/3 |
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Final Exam Wednesday 12/16, 2:00-4:30 pm URH202. |
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Homework policy – no late home works!
Homework should be legible and neat, and the pages should be stapled together. Don't turn in your first draft.
Always show your work. Don't just write down an answer. (Note that some of the problems already have an answer in the back of the book.)
Some problems ask for explanations. These should be written carefully, using good English, complete sentences, and adequate detail. A good guideline is that you should write your explanations the way you would like to see them written in your textbook. For example, Problem 51 in Section 5.5 has an answer in the back, but it takes considerable explanation to justify the answer. Expect to spend some time on this kind of problem.
The odd-numbered problems have answers in the back of the book. If you get a different answer, you aren't necessarily wrong. For an example of this, see the discussion in the book at the beginning of the exercises for Section 5.6.
The book has lots of unassigned odd-numbered problems that you can use for extra practice. This might be especially useful as you begin working on an assignment, to give yourself confidence that you know what you're doing.