Homework |
Calculus I - Mathematics 114 - Fall 2004 |
| HW # | Due Date | Read | Do |
|---|---|---|---|
| Final Exam | M 12/13 Weingart 117 (not Mosher) |
Cumulative: All HWs. (Details emailed on 12/7.) | |
| 30 | W 12/8 | Start reviewing for the final exam. | Nothing to turn in. Sec 6.6: 17, 18, 25. Sec 3.6: 5, 11, 15, 19, 41, 43. |
| 29 | M 12/6 | Sec 6.5 pages 512-516. | Sec 6.5: 5-11(odds), 13, 15, 17, Sec 6.4: 25, 26, 29, 30. Sec 3.5: 53, 54, 58. |
| 28 | F 12/3 | Sec 6.4 | Sec 6.4: 1, 5, 13, 14, 15, 19, 21(growth rate = growth constant, p. 503), 31, 32, 49. |
| 27 | W 12/1 | Sec 4.1; make sure to read Theorems 1.1 and 1.5 and their proofs -- you need to know them for the final exam. | Sec 4.1: 11, 12, 13, 17, 19, 23, 24, 25, 26, 27 28, 35, 36, 37, 41-51(odds), 55, 57, 59, 67, 68. |
| 26 | M 11/29 | Sec 3.7. | Sec 3.7: 4, 5, 6, 7, 11, 12, 13, 14, 17, 18, 19, 29, 36. |
| No HW due M 11/22. Thanksgiving break Nov 24-26. |
We will do Section 3.7 (Optimization) on Monday 11/22. | ||
| Mid 3 | F 11/19 | Will cover HW 16-25 and their corresponding sections. | Don't turn in: Chapter 3 review (page 319): 1-28. Chapter 7 review (page 620): 64, 65, 67. Chapter 6 review (pp. 551-2): 9-12, 41-44, 46-48, 77-79, 85, 86. These problems do NOT cover all the topics on the midterm. Make sure to review HW problems. |
| 25 | W 11/17 | Sec 3.5. | Sec 3.5: 13, 14, 19, 20, 21, 29, 30, 31, 32, 37, 38, 43, 45, 49, 50, 51. |
| 24 | M 11/15 | Review Sections 3.3 and 3.4. | Sec 3.3: 13, 14, 17, 18, 35, 36, 55, 56,
57, 58, 59. Sec 3.4: 14, 41, 55, 56, 59. |
| 23 | F 11/12 | Definitions 3.1, 3.2, 3.3 and Theorems 3.2, 3.3 in Section
3.3; and all of Section 3.4. |
Sec 3.4: 17, 20, 21, 22, 27, 29, 30, 31,
34, 45, 46. Sec 3.3: 49, 53 (find answer exactly, using first derivative test). |
| 22 | W 11/10 | Sec 3.2. | Sec 3.2: 2, 3, 4, 6, 7, 17, 20, 21, 22,
23, 24, 25, 26, 27, 35, 41, 45-48. EC: 37. Page 40: 63. |
| 21 | M 11/8 | Sec 7.6. | Sec 7.6: 2, 29, 33, 34, 35, 36, 37, 38, 39, 40,
45, 46, 47, 48. Sec 6.8: 45, 46. Also turn in the following: (A) Let f(x) = (sin x)^(ln x). (i) Find the domain of continuity of f. (ii) Find the limit of f(x) as x tends to 0 from the right. (iii) Find the derivative of f. |
| 20 | F 11/5 | Sec 3.1 pages 247-249. Sec 7.6 pages 596-599. |
Sec 3.1: 31, 33, 41, 42, 43, 46, 47. Sec 7.6: 1, 11, 12, 13, 25, 32, 41, 42. |
| 19 | W 11/3 | Sec 3.1 pages 242-246. | Sec 3.1: 5, 10, 11, 12, 13, 14, 15, 16, 21,
22, 23, 24, 27. In problems 10, 16, 22, 23 use both linear and quadratic approximations. |
| Problems for Lab Week 9 | Week of 11/1 | Try these problems and come to lab with questions. Some of these were already assigned as HW; make sure you know them, and then work on the remaining ones. | (Do not turn in.) Sec 2.8: 29-52, 61, 62. Chapter 2 review (page 238): 61-66, 69, 72. |
| 18 | M 11/1 | Sec 6.7. Sec 6.8 pages 636-538. | Sec 6.7: 6, 9, 13, 15, 17, 19, 20, 31, 35
(w/o calculator), 50. EC: 51. Sec 6.8: 7, 9, 11, 12, 42; and prove the formula for the derivative of arcsec(x) on page 538. A few more problems maybe posted on Friday; please check back! |
| 17 | F 10/29 (Try to do as many of these problems as you can by Wednesday) |
Sec 6.2: Inverse functions. | Sec 6.2: 1, 2, 9, 11, 12, 13, 14, 19, 23, 25, 30, 31, 33, 34, 48, 49, and these problems. |
| 16.5 | M 10/25 | Sec 2.8: Related Rates. | Sec 2.8: 29, 30, 33, 37, 43, 51, 55, 57. |
| Midterm #2 | W 10/20 | Covers sections 1.5, 1.6, and 2.1-2.7, and HW 7-15. (Less emphasis on 1.5 & 1.6.) | Chapter 1 review problems (page 145): 45-47. Chapter 2 review problems (page 238): 1, 2, 3, 5, 7, 8, 9, 11, 12, 17, 18, 20, 27, 39, 41, 43, 47, 48, 55-59, 67, 68, 71; EC: 72; and these extra problems. |
| 16 | M 10/18 | Sec 2.8, up to Related Rates. | Sec 2.8: 3, 7, 8, 15, 20, 27; also turn in the following: (A) Show the function f(x) = 3x + e^(sin x) has no horizontal asymptotes. (Hint: see class notes for a similar problem.) |
| 15 | F 10/15 | Sec 2.7. | Sec 2.7: 3, 4, 7, 19, 31, 32, 33, 36, 37, 41, 43, 47, 51, 52, 57, and these extra problems. |
| 14 | W 10/13 | Sec 2.6. | Sec 2.6: 1-4, 11, 16, 17, 19, 35, 36, 45, and these extra problems. |
| 13 | M 10/11 | Sec 2.5. | Sec 2.5: 15, 16, 17, 20, 31, 33, 45, 46,
50, 51a, and these extra problems. EC: Prove (cos x)' = -sin x |
| 12 | F 10/8 | Sec 2.4. | Sec 2.4: 5, 9, 11, 16, 23, 24, 25, 26, 33, 36, 39, 40; and these extra problems. |
| 11 | W 10/6 | Sec 2.3. | Sec 2.3: 11, 18, 19, 24, 27, 29, 39, 43, 50, 51, 52, 59 |
| 10 | M 10/4 | Sec 2.2. | Sec 2.2: 4, 5, 8, 15, 21, 22, 27, 28, 38, 39, 49, 57. |
| 9 | W 9/29 | Sec 2.1. | Sec 2.1: 21, 25, 28, 33, 34, 41, 43, 51. |
| 8 | M 9/27 | Sec 1.6. | Sec 1.6: 5, 10, 11, 13. |
| Midterm #1 | F 9/24 | Chapters 0 and 1, up to and including Sec 1.4.
Do as many of these review problems as you can before coming to lab, and bring questions. Don't turn them in. No calculators for any of these problems. No calculators on the exam. |
sec 0.5: 13, 31, 35, 45, 46, 57, 60, 75. sec 0.6: 35, 45, 47, 61. sec 0.7: 6, 7, 9, 10, 39, 41. Chapter 1 review (p. 145): 5-13, 15-28, 30, 39-42. |
| 7 | W 9/22 | Sec 1.5. | Sec 1.5: 3, 4, 5, 6, 10. EC: 22. |
| 6 | M 9/20 | Sec 1.4. | Sec 1.4 (should be able to do these problems without a
calculator): 5, 6, 7, 17, 25, 26, 29, 38, 41, 42, 51, 52. EC: 68. |
| 5 | F 9/17 | Sec 1.3. | Sec 1.2: 33, 34. Sec 1.3: 5, 6, 11, 15, 16, 32, 35, 36, 45, 57. EC: 37. |
| 4 | W 9/15 | Sec 1.2. | Sec 1.2: 5, 7, 9, 11, 17, 20, 23, 31, 32, 37, 38, 42, 59, 61. |
| 3 | M 9/13 | Sec 1.1. | Sec 1.1: 5, 6, 7, 9, 13, 17, 19, 21, 31, 32, 33, 36. EC 41. |
| 2 | F 9/10 | Sec 0.6, 0.7. | Section 0.6: 3, 59, 62a, 63a, 64a, 69; EC: 80, 83. Section 0.7: 4, 8, 38; EC: 65. |
| 1 | W 9/8 | Page xxviii, and Sections 0.1, 0.2, 0.4, 0.5 | Sec 0.1: 25, 32; EC 52. Sec 0.2: 5, 42, 44, 66; EC 96. Sec 0.4: 37, 38, 43, 44. Sec 0.5: 36, 47, 48, 53, 54, 59, 70, 74; EC 3. |
Boldface: means turn in. You're encouraged to write up and turn in all the problems, but only the boldfaced ones will be graded (and sometimes not even all of the boldfaced ones, depending on how much time the grader has).
EC: Extra Credit problems are optional; you don't have to know them. These are problems that are interesting and sometimes more challenging; and may appear on exams only as extra credit problems (which carry no points).
Advice on solving math problems: Think hard and patiently; don't give up when stuck on a difficult problem: come back to it after taking a break or doing other problems. If you work with friends (which I encourage you to) or get help to solve a problem, then later test yourself: a few hours or days later, get a blank sheet of paper, and see if you can solve the problem without looking at any notes or the book Take HW very seriously, and expect to spend at least two hours on each assignment.