Homework |
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| HW # | Due Date | Read | Do |
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| Final Exam | R 5/7 1:00-4:00pm Fowler 307 |
Final exam will cover all HWs, with emphasis as follows: Most emphasis: Ch 19 and 20 (HWs 25-30). Least emphasis: Ch 13, 15, and Sec 14.6, 14.7 (the concepts in chapter 13 are fundamental and used a lot in other chapters; but I won't emphasize homework problems from Ch 13). Medium emphasis: all other sections that we covered, plus the "proofs" (or explanations) mentioned in HWs 5 & 9. As with midterms, final exam problems will mostly be based on homework problems and will mostly be straightforward. |
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| 30 | W 4/22 | Sec 20.4. | 20.4: 11-13, 25, 27, 28, 32, 34. Solutions |
| 29 | F 4/17 | Sec 20.3 p. 954-957 (may skip top half of p. 957). | 20.3: 1-6, 16, 17, 19-21. Solutions |
| 28 | W 4/15 | Sec 20.2. | 20.2: 1, 13, 16, 19, 21, 29, 32, 34, 35, 39. Solutions |
| 27 | M 4/13 | Sec 20.1, p. 940-943. | 20.1: 9, 11, 14-17, 19, 22. Solutions |
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Midterm 3 Solutions |
F 4/10 | Covers HWs 16-24. | |
| 26 | M 4/6 | Sec 19.2. | 19.2: 1, 9, 13, 17. Solutions |
| 25 | F 4/3 | Sec 19.1. | 19.1: 1-3, 21, 27bc, 32, 33, 37. Solutions |
| 24 | W 4/1 | Sec 18.4; optional parts: proof of Green's Theorem (p. 901 & top of 902), and "the Curl Test in 3-space". | 18.4: 1, 3, 7, 12, 13, 15, 20-22, 26, 27b. For #15, see p. 880 for definition of "circulation". Solutions |
| 23 | M 3/30 | Sec 18.3 (the section "Why path independent ..." is optional). | 18.3: 1, 7-9, 13, 19, 28-32. In #1, "geometrically" means use the picture and the symmetries in the picture, but don't write formulas. Solutions |
| 22 | F 3/27 | Sec 18.1 and 18.2. | 18.1: 1, 2, 27. 18.2: 1, 6, 10-12, 16-18. Solutions |
| 21 | W 3/25 | Sec 17.3. Sec 17.4 p. 853-855. |
17.3: 3, 6, 11, 12, 17, 23, 25. 17.4: 9, 15, 17, 18. Solutions |
| 20 | M 3/23 | Sec 17.2 p. 839-843. | 17.2: 15, 23, 30, 32-36. Solutions |
| 19 | F 3/20 | Sec 17.1. | 17.1: 13, 14, 21, 29, 37, 47, 48, 52, 53, 55, 61, 63ab,
64. Solutions |
| 18 | W 3/18 | Sec 16.7 (pages 821-822 are optional). | 16.7: 5, 11, 13, 15, 21-24. Solutions |
| 17 | M 3/16 | Sec 16.4. (Optional: 16.5.) | 16.4: 17, 20-24, 26. Solutions |
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Midterm 2 solutions |
F 3/6 | Will cover HWs 7-15. | |
| 16 | W 3/4 | Sec 16.3. | 16.3: 3-5, 10, 15, 16, 27, 28,
31, 35, 36, 44. Solutions |
| 15 | M 3/2 | Just skim Sec 16.1, but make
sure to understand all the "boxed" definitions and formulas. Read Sec 16.2. |
16.2: 3, 7, 11, 12, 24, 29, 30,
37, 44. Solutions |
| 14 | F 2/27 | Sec 15.3 p. 764-768. In class we didn't cover the type of problem in Example 2 (p. 768), so read it carefully for HW problems. |
15.3: 9, 11, 13, 14, 16, 17. Solutions |
| 13 | W 2/25 | Sec 15.2 p. 755-758. | 15.2: 19, 23-25, 27-29. Solutions |
| 12 | M 2/23 | Section 14.7 p. 727-729. Section 15.1. |
14.7: 5, 19, 28, 33-35, 37. 15.1: 14, 15, 19, 25, 27. Solutions |
| 11 | F 2/20 | Sec 14.6 p. 718-721. | 14.6: 5, 6, 11, 12, 15,
17-21, Solutions |
| 10 | W 2/18 | Sections 12.5 and 14.5. | 14.5: 24, 26, 27, 29-31, 36. Solutions |
| 9 | F 2/13 | Sec 14.4 p. 707-709. May be on exams: Given that the rate of change of f in the direction of a unit vector u equals (grad f).u, be able to explain why grad f points in the direction of the greatest rate of change of f, and why its magnitude gives the greatest rate of change of f. |
14.4: 49, 50, 53, 55-59, 66, 68. Solutions |
| 8 | W 2/11 | Sec 14.3 p. 697-700. Sec 14.4 p. 704-706. |
14.3: 2, 4, 13, 14, 21. 14.4: 1-5, 37, 48. Solutions |
| Midterm 1 | M 2/9 | Will cover HWs 1-6, and their corresponding sections. Calculators will not be allowed on the exam. There won't be any tedious arithmetic that would require a calculator. |
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| 7 | F 2/6 | Sec 14.1 and 14.2. For most HW problems you do not need a calculator. Get used to doing HW problems without a calculator as much as possible, so that on exams you won't get stuck. |
14.1: 2, 3, 8ab, 17a, 18, 19,
20ab. 14.2: 41, 42. Solutions |
| 6 | W 2/4 | Sec 13.4 | 13.4: 5, 7, 15, 19, 21, 23, 24,
29, 32a. Solutions |
| 5 | M 2/2 | Sec 13.2: p. 661. Sec 13.3: p. 664-669. Be able to explain why (i.e., prove) the vector [a,b,c] is normal to the plane ax+by+cz=d (see class notes or bottom of page 667). |
13.3: 13, 14, 17, 18, 23, 25,
29, 33, 39. Solutions |
| 4 | F 1/30 | Read bottom half of page 640. Read Sec 13.1. |
13.1: 3, 5, 11, 13, 15, 16, 21,
22, 29, 30de, 31. Also do the following extra problem: Prove for any vector v and scalar c, ||cv|| = |c| ||v||. Solutions |
| 3 | W 1/28 | Sec 12.4 | 12.4: 1-5, 7, 9, 11, 17, 23,
25, 28. Solutions |
| 2 | M1/26 | Sec 12.3 pages 618-623. http://www.trails.com/topo_sample2.htm |
12.3: 1-5, 11, 13, 15, 22, 30. Solutions |
| 1 | F 1/23 | Sec 12.1, 12.2 | Sec 12.1: 8, 9, 11, 22, 23ad,
26, 27, 29, 30ac, 31. Sec 12.2: 1, 2, 13, 15, 19, 21. Solutions Always explain your reasoning, even if the problem doesn't ask you to. This homework assignment is long. These two sections are introductory and hopefully you won't have a hard time with them. Future assignments will be shorter. |