 Fall 2001 |
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Fall 2001 |
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| Mon, Wed, Fri Homework Main page |
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Homework Tuesday and Thursday Sections |
| HW # | Assignment | Due | Solutions |
| Primer | Problem Set 0 | Tuesday, September 18 | Solution 0 |
| 1 | Problem Set 1 | Thursday, September 20 | Solution 1 |
| 2 | Problem Set 2 Problem Set 3 |
Tuesday, September 25 | Solution 2 |
| 3 | Read Section 8.4 Do: Section 8.3 #5, 9 Section 8.4 #2, 12, 13, 19 (for 19, explain your reasoning clearly. There are several different lines of reasoning that can be used.) Plus: Problem 1 from Handout A |
Thursday, September 27 | Solution 3 |
| 4 | Read Section 8.5 and 8.6 Do: Section 8.4 #20, 22, 31, 33 plus: Look back at #33. Which grows faster, exponentials or factorials? Tie your answer in with #33. Section 8.5 #2, 4, 6, 14, 16 (but don't worry about the endpoints of the interval), 20abc, 22, 23ab, 28 Section 8.6 #6, 12, 16, 28 Plus: Problems 2, 3 and 4 from Handout A |
Tuesday, October 2 | Solution 4 |
| 5 | Read the Series handout Do (from the handout, pg. 931): #1, 2, 4, 9, 12, 13 Plus: All of Handout B |
Thursday, October 4 | Solution 5 |
| 6 | Read Section 8.7 and 8.8 Do: Section 8.7 #12, 14, 18, 20, 23, 25, 27, 29, 34, 36, 38 Section 8.8 #1, 4, 9, 16a (b and c are extra credit) |
Tuesday, October 9 | Solution 6 |
| 7 | Read Section 8.9 Do: Section 8.9 #3, 19, 20, 22, pg. 641 #40 Plus: Problems 1 and 2 from Handout C. | Thursday, October 11 | Solution 7 |
| 8 | Do: Section 8.9 #23, 25 (Read the notes on Handout C for guidance). As a start to your exam review, do the Concept Check: pg. 640 #3, 4, 10, 11a-d, and the true/false quiz #1-7 and 11. Plus: Problem 3 on Handout C. Good Luck on the Exam! | See Note Below | Solution 8 |
| 9 | Do: Section 5.5 #4, 5, 8, 10, 14, 16, 20, 24, 27, 28, 32, 57, 60 Section 5.6 #4, 5, 8, 14, 22, 28, and pg. 438 #5 (as a review) Plus: Looking at Integration from a Graphical Perspective Extra credit: Section 5.6 #34 | Tuesday, October 23 | Solution 9 |
| 10 | Do: Section 5.6 #6, 18 Section 5.7 #18, 20, 24, 27, 29 Plus: Problem 1 from Handout D | Thursday, October 25 | |
| 11 | Do: Section 5.7 #1, 2, 3, 8 (From sin^2 t + cos^2 t
= 1 you can derive the identity tan^2 t + 1 = sec^2 t.) Section 5.9 #2, 13, 23, 24 Plus: Problems 2-6 from Handout D Extra credit: pg. 441 #72 OR Problem 7 on Handout D | Tuesday, October 30 | Solution 11: Part I Part II |
| 12 | Do: Section 5.10 #2, 6, 12, 13, 20, 24, 26. Note that one of
these requires no work. Look before you roll up your sleeves
to compute! Extra credit: Section 5.10 #50 Plus: Problem 1 from Handout E | Thursday, November 1 | Solution 12 |
| 13 | Do: Section 5.10 #53 Plus: Problems 2-6 from Handout E And: Section 6.1 #1, 4, 16 (to integrate |x| you must split the integral up into pieces on which x doesn't change sign), 22, 23, 24, 25, 27 (for Extra Credit) | Tuesday, November 6 | Solution 13: Part I Part II |
| 14 | Do: Section 6.2 #3, but change the instructions from ``a typical disk or ``washer""
to ``a typical slice." To #3, add parts (b),(c), and (d)
below. For each of these, set up the integral or integrals but
do not evaluate: (b) rotate the same region about the horizontal line y = 4. (c) rotate the same region about the horizontal line y = 5. (d) rotate the same region about the vertical line x = -1. Do: Section 6.2 #10 (same change in instructions as above), 23, 31, 35, 46 Extra Credit: #48 | Thursday, November 8 | Solution 14 |
| 15 | Do: Section 6.3 #1, 4, 21 Section 6.4 #2, 5, 11 Section 6.5 #1, 4, 7, 10, 12, 19, 22 Extra Credit: Section 6.4 #16; Section 6.5 # 17, 18 | Tuesday, November 13 | Solution 15: Part I Part II |
| 16 | Do: Section Section 6.7 # 2, 3, 4, 6, 8, and Chapter 6 Review #29 (pg. 501) Extra Credit: Section 6.7 # 13 | Thursday, November 15 | Solution 16 |
| 17 | Read: Text Section 7.1 and 7.2, Supplementary Materials packet p.
1-9 (working through the worksheet), and Handout p. 983 - 992 Do: Section 7.1 #1, 3, 4, 6, 9, 11, 12, 14 Section 7.2 #1 Handout p.990 # 1, 2, 4 Plus: Problems 1-3 from Handout F | Tuesday, November 20 | Solution 17 |
| 18 | Happy Thanksgiving! | - | - |
| 19 | Read: p. 10-14 in the Supplement Do: Supplement p. 14-15 #1 (you might want to draw the family of solutions and then, using another color, highlight solutions corresponding to the initial conditions given), 2, 3, 4 Handout p. 997 #3 Text Section 7.2 #3, 4, 5, 6, 9 Extra Credit: p. 1000 #17 | Tuesday, November 27 | Solution 19 |
| 20 | Read: Text Section 7.3
Do: Section 7.2 #28ab Section 7.3 #3, 4, 5, 6, 9, 16, 28, 33 (Section 7.2 #28c can be done for extra credit) | Thursday, November 29 | Solution 20 |
| 21 | Do: Section 7.4 #13 Section 7.5 #8,9 Stewart's p. 557, do the true/false quiz in the center of the page Plus: Problems 1-3 from Handout G | Tuesday, December 4 | Solution 21 (Please use to study for the exam) |
| 22 | Read: Section 8.10 Do: Section 8.10 #3 (express as a familiar function), 5 (which cannot be expressed as a familiar function) | Thursday, December 6 | Solution 22 |
| 23 | Read the supplement pp. 16-40 In the text, do Section 7.6 #1,2 Plus: Problem 4 from Handout G Read: (text) Section 7.6 and the supplement pp. 41-45 In the text, do chapter review problems #20 and 21 on p. 559 The next part of the homework is in preparation for next week's classes. We will use the results: Do: Handout p.1002 #28 (typo: it's e^{lambda t}, not e^{lambda^t}) and #29 Plus: All of Handout H (including the Additional problems) | Tuesday, December 11 | Please see MWF Solution 32 and 33 |
| 24 | Do: Handout I | Thursday, December 13 | Solution 24 |
| 25 | Do: Handout J | Solution 25 |
| Note: We will have the solutions to both problem set #7 and 8 up on the web by Saturday. This way students can check and correct their answers while studying for the exam. This problem set will not have to be handed in for a grade, but should be done. Students will be held responsible for the material on it! |
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Last update, 12/05/2001, math1b@fas.harvard.edu
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