Homework |
|
|
| HW # | Due Date | Read | Do |
|---|---|---|---|
| Final Exam | W 12/16 | The 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. Start reviewing as soon as you can. Bring questions to class on the last two days of the semester. Here's last year's final exam (I didn't write up solutions for it; we can work on it in class). Office hours during exam week: Tues 11:00-1:00. |
|
| 30 | M 12/7 | Sec 20.4. | 20.4: 11, 13, 25, 27, 28, 32, 34. Solutions |
| 29 | F 12/4 |
Sec 20.3 p. 954-957 (may skip top half of p. 957). | 20.3: 1-6, 16, 17, 19-21. Solutions |
| 28 | M 11/30 | Sec 20.2. | 20.2: 1, 13, 16, 19, 21, 29, 32, 34, 35, 39. Solutions |
| Mid 3 | M 11/23 | Will cover HWs 18-26. Start reviewing a week in advance. |
|
| 27 | W 11/18 | Sec 20.1, p. 940-943. | 20.1: 9, 11, 14-17, 19, 22. Solutions |
| 26 | M 11/16 | Sec 19.2. | 19.2: 1, 9, 13, 17. Solutions |
| 25 | F 11/13 | Sec 19.1. | 19.1: 1-3, 21, 27bc, 32, 33, 37. Solutions |
| 24 | W 11/11 | 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 11/9 | 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 11/6 | Sec 18.1 and 18.2. | 18.1: 1, 2, 27. 18.2: 1, 6, 10-12, 16-18. Solutions |
| 21 | W 11/4 | 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 11/2 | Sec 17.2 p. 839-843. | 17.2: 15, 23, 30, 32-36. Solutions |
| 19 | W 10/28 | Sec 17.1. | 17.1: 13, 14, 21, 29, 37, 47, 48, 52, 53, 55, 61, 63ab, 64. Solutions |
| Mid 2 | M 10/26 | Covers HWs 7-17 and their corresponding sections. For the method of Lagrange multipliers, be able to explain why we set the gradient of f parallel to the gradient of the constraint function. Here are last year's Midterm 2 and its solutions. Problem 5 of last year's Midterm 2 will not be on our exam. Also, last year's exam was a bit earlier and didn't cover as much as our exam will cover. |
|
| 18 | F 10/23 | Sec 16.7 (pages 821-822 are optional). | 16.7: 5, 11, 13, 15, 21-24. Solutions |
| 17 | W 10/21 | Sec 16.4. (Sec 16.5 is optional.) |
16.4: 17, 20-24, 26. Solutions |
| 16 | F 10/16 | Sec 16.3. |
16.3: 3-5, 10, 15, 16, 27, 28, 31, 35, 36, 44. Solutions |
| 15 | W 10/14 |
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 | M 10/12 |
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. On exams: For the method of Lagrange multipliers, be able to explain why we set gradient of f parallel to the gradient of the constraint function. |
15.3: 9, 11, 13, 14, 16, 17. Solutions |
| 13 | F 10/9 | Sec 15.2. |
15.2: 19, 23-25, 27-29. Solutions |
| 12 | W 10/7 |
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 | M 10/5 | Sec 14.6, p. 718-721. |
14.6: 5, 6, 11, 12, 15, 17-21. Solutions |
| 10 | F 10/2 | Sections 12.5 and 14.5. |
14.5: 24, 26, 27, 29-31, 36. Solutions |
| 9 | W 9/30 | Sec 14.4 p. 707-709. |
14.4: 49, 50, 53, 55-59, 66, 68. Solutions |
| 8 | M 9/28 |
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 |
| Mid 1 | F 9/25 |
First midterm 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. Here's last year's exam, in case you'd like to practice. Our exam will be different (but somewhat similar). Proofs that may appear on the exam: 1. The distance between two points in R^3 (use Pythagorean Theorem twice). 2. Why is [a,b,c] normal to the plane ax+by+cz=d? |
|
| 7 | W 9/23 |
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 | M 9/21 | Sec 13.4. |
13.4: 5, 7, 15, 19, 21, 23, 24, 29, 32a. Solutions |
| 5 | F 9/18 |
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 | W 9/16 | 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 | M 9/14 | Sec 12.4. | 12.4: 1-5, 7, 9, 11, 17, 23,
25, 28. Solutions |
| 2 | F 9/11 | Sec 12.3 pages 618-623.
http://www.trails.com/topo_sample2.htm |
12.3: 1-5, 11, 13, 15,
22, 30. Solutions |
| 1 | W 9/9 | Sec 12.1, 12.2. Also, please make sure to read the Syllabus. |
Sec 12.1: 8, 9, 11, 22, 23ad,
26, 27, 29, 30ac, 31. Sec 12.2: 1, 2, 13, 15, 19, 21. 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. Solutions |