 Fall 2001 |
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Fall 2001 |
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| Tues, Thurs Homework Main page |
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Homework Monday, Wednesday, and Friday Sections |
| HW # | Assignment | Due | Solutions |
| Primer | Problem Set 0 | Monday, September 17 | Solution 0 |
| 1 | Problem Set 1 | Wednesday, September 19 | Solution 1 |
| 2 | Problem Set 2 | Friday, September 21 | Solution 2 |
| 3 | Problem Set 3 | Monday, September 24 | Solution 3 |
| 4 | 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 |
Wednesday, September 26 | Solution 4 |
| 5 | Read Section 8.5 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. Do 16 but don't worry about the endpoints of the interval. Plus: Problem 2 from Handout A |
Friday, September 28 | Solution 5 |
| 6 | Read Section 8.6 Do: Section 8.5 #20abc, 22, 23ab, 28 Section 8.6 #6, 12, 16, 28 Plus: Problems 3 and 4 from Handout A |
Monday, October 1 | Solution 6 |
| 7 | Read the Series handout Do (from the handout, pg. 931): #1, 2, 4, 9, 12, 13 Plus: All of Handout B |
Wednesday, October 3 | Solution 7 |
| 8 | Read Section 8.7 Do: Section 8.7 #12, 14, 18, 20, 23, 27, 29, 36 | Friday, October 5 | Solution 8 |
| 9 | Read Section 8.8 Do: Section 8.7 #25, 34, 38 Section 8.8 #1, 4, 9, 16a (b and c are extra credit) | Wednesday, October 10 | Solution 9 |
| 10 | Read Section 8.9 Do: Section 8.9 #3, 19, 20, 22, page 641 #40 Plus: Problems 1 and 2 from Handout C. | Friday, October 12 | Solution 10 |
| 11 | 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 from Handout C. | See Note Below | Solution 11 |
| 12 | Good Luck on the Exam!! | - | - |
| 13 | Do: Section 5.5 #4, 5, 8, 10, 14, 16, 20, 24, 27, 28, 32 Plus: Looking at Integration from a Graphical Perspective (due October 24) | Friday, October 19 | |
| 14 | Do: Section 5.5 #57, 60 Section 5.6 #4, 5, 8, 14, 22, 28 Plus: pg. 438 #5 (as review from first semester calculus) Extra credit: Section 5.6 #34 | Monday, October 22 | |
| 15 | Do: Section 5.6 #6, 18 Section 5.7 #18, 20, 24, 27, 29 Plus: Problem 1 from Handout D | Wednesday, October 24 | Solution 15 |
| 16 | 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.)
Plus: Problems 2-5 from Handout D | Friday, October 26 | Solution 16 |
| 17 | Do: Section 5.9 #2, 13, 23, 24 Extra credit: pg. 441 #72 OR Problem 7 on Handout D Plus: Problem 6 from Handout D | Monday, October 29 | Solution 17 |
| 18 | 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 | Wednesday, October 31 | Solution 18 |
| 19 | Do: Section 5.10 #53 Plus: Problems 2-6 from Handout E | Friday, November 2 | Solution 19 |
| 20 | Do: 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 Extra Credit: #27 | Monday, November 5 | Solution 20 |
| 21 | 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 | Wednesday, November 7 | Solution 21 |
| 22 | Do: Section 6.3 #1, 4, 21 Section 6.4 #2, 5, 11 Section 6.5 #1 Extra Credit: Section 6.4 #16 (due Wednesday, November 12) | Friday, November 9 (Extra Credit due Wednesday as noted) |
Solution 22 |
| 23 | Do: Section 6.5 #4, 7, 10, 12, 19, 22 Extra Credit: Section 6.5 # 17, 18 | Wednesday, November 14 | Solution 23 |
| 24 | Do: Section 6.7 # 2, 3, 4, 6, 8, and Chapter 6 Review #29 (pg. 501) Extra Credit: Section 6.7 # 13 | Friday, November 16 | Solution 24 |
| 25 | Read: Text Section 7.1, Supplementary Materials packet p.
1-4 (working through the worksheet), and Handout p. 983 - 992 Do: Section 7.1 # 1, 3, 4, 6 Handout p.990 # 1, 2, 4 Plus: Problem 1 from Handout F | Monday, November 19 | Solution 25 |
| 26 | Read: Section 7.2 in the text and p. 5-9 in the Supplement
Do: Section 7.1 #9, 11, 12, 14 Section 7.2 #1 Plus: Problems 2 and 3 from Handout F | Wednesday, November 21 | Solution 26 |
| 27 | Happy Thanksgiving! | - | - |
| 28 | 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 | Wednesday, November 28 | Solution 28 |
| 29 | 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) | Friday, November 30 | Solution 29 |
| 30 | 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 | Monday, December 3 | Solution 30 (Please use to study for the exam) |
| 31 | Read: Section 8.10 Do: Section 8.10 #3 (express as a familiar function), 5 (which cannot be expressed as a familiar function) |
Wednesday, December 5 | Solution 31 |
| 32 | Read the supplement pp. 16-40 In the text, do Section 7.6 #1,2 Plus: Problem 4 from Handout G ADDITION: The problems listed after Problem 1 in Handout H |
Friday, December 7 | Solution 32 |
| 33 | 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: Handout H |
Monday, December 10 | Solution 33 |
| 34 | Do: Handout I | Wednesday, December 12 | Solution 34 |
| 35 | Do: Handout J | Solution 35 |
| Note:We will have the solutions to both problem set #10 and 11 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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