Fall 2001 

Mon, Wed, Fri Homework Main page 
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, 11ad, and the true/false quiz #17 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 26 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 26 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.
19 (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 13 from Handout F  Tuesday, November 20  Solution 17 
18  Happy Thanksgiving!     
19  Read: p. 1014 in the Supplement Do: Supplement p. 1415 #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 13 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. 1640 In the text, do Section 7.6 #1,2 Plus: Problem 4 from Handout G Read: (text) Section 7.6 and the supplement pp. 4145 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! 
Last update, 12/05/2001, math1b@fas.harvard.edu
