 Spring 2002 |
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Spring 2002 |
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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, February 5 | Primer Solution | |
| 1 | Read: Section 8.1 and first part of Section 8.2 (pg. 573-576) Do: Section 8.1 #1, 4 Section 8.2 #3 (where for these two problems the instructions "Graph both the sequence of terms and the sequence of partial sums on the same screen" is changed to "Plot the partial sums.") Plus: Problems 1-3 and Think and Think Again Question 1 from Handout A. |
Thursday, February 7 | Solution 1 | |
| 2 | Read: Rest of Section 8.2 and 8.3, pg. 583-587 Do: Section 8.2 #12, 16, 18, 20, 33, 34, 48, 51 Section 8.3 #1, 2, 3, 4, 10, 19, 20 Plus: Think and Think Again 2 and Problem 4 from Handout A Extra Credit: Section 8.2 #52 |
Tuesday, February 12 | Solution 2: Parts a & b |
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| 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 B | Thursday, February 14 | Solution 3 | |
| 4 | Read Section 8.5 and the Series Handout 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 Do (from handout): pg. 37 #1, 2, 3 (when you've completed 3 multiply out the original function and compare your answer with the Taylor Series), 4, 5 Plus: All of Handout C |
Tuesday, February 19 | Solution 4
(and 6, with
graphs) Series Handout solutions to come |
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| 5 | Read Section 8.7 Do: Section 8.7 # 9, 11, 18, 20, 23, 27, 29, 36 | Thursday, February 21 | Solution 5 | |
| 6 | Read Section 8.6 and 8.8 Section 8.6 #6, 12, 16, 28 Plus: Problems 2, 3 and 4 from Handout B |
Tuesday, February 26 | Solution 6 | |
| 7 | Read Section 8.8 Do: Section 8.8 #1, 4 (first 3 non-zero terms only), 9 (When you use summation notation, treat the first term independently) | Thursday, February 28 | Solution 7 (ignore problems not assigned) | |
| 8 | Read Section 8.9 Do: Section 8.9 #19, 20, 22, 23 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: Problems 1-4 from Handout D Extra Credit: Section 8.9 #25 (Read the notes on Handout D for guidance) | Tuesday, March 5 | Solution 8** | |
| 9 | Good Luck on the Exam! | - | - | |
| 10 | Do: Section 5.5 #4, 5, 8, 10, 14, 16, 20, 24, 27, 28, 32, 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 (due March 14) Extra credit: Section 5.6 #34 | Tuesday, March 12 | Solution 10 | |
| 11 | Do: Section 5.6 #6, 18 Section 5.7 #18, 20, 24, 27, 29 Plus: Problems 1 and 2 from Handout E | Thursday, March 14 | Solution 11 | |
| 12 | 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 3-6 from Handout E Extra credit: pg. 441 #72 or Problem 7 or 8 on Handout E | Tuesday, March 19 | Solution 12: Part I Part II |
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| 13 | 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! Plus: Problem 1 from Handout F Extra credit: Section 5.10 #50 | Thursday, March 21 | Solution 13 | |
| 14 | Do: Section 5.10 #53 Plus: All of Handout G 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 Extra Credit: Section 6.1, #27 | Tuesday, April 2 | Solution 14: Part I Part II |
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| 15 | 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, April 4 | Solution 15 | |
| 16 | Do: Section 6.3 #1, 4, 21 Section 6.4 #2, 5, 11 Section 6.5 #1, 4, 7, 10, 12 Plus: Problem 1 from Handout H (Handout F, part 2, was renamed to Handout G) Extra Credit: Section 6.4 #16; Section 6.5 # 17, 18 | Tuesday, April 9 | Solution 16 | |
| 17 | Do: Section 6.7 # 2, 3, 4, 6 Plus: Problem 2 from Handout H and Problems 1 and 3 from Handout I Extra Credit: Section 6.7 # 13 | Thursday, April 11 | Solution 17 | |
| 18 | Read: Stewart text Section 7.1 & 7.2 Get the supplement at Gnomen Copy. The supplement begins with "Chapter 31" & after page 1002 starts again with page 1. Read Chapter 31.1(pp.983-990) & 31.2 plus pages 1-9. Do: Section 7.1 # 1, 3, 4, 6, 9, 12, 14 Supplement pp. 990 # 1, 2, 4 Supplement pp. 997 #3 Worksheet on pp. 1-4 |
Tuesday, April 16 | Solution 18 | |
| 19 | Read: Stewart text Section 7.2 Do: Handout J Plus: Stewart text Section 7.2 #1 |
Thursday, April 18 | Solution 19 | |
| 20 | Read: In the Supplement pp. 5-14. (We're essentially
covering 7.4 and 7.5 in Stewart, but the emphasis is
very different.) AND Stewart text Section 7.3 (You won't be held accountable for the subsection on orthogonal trajectories, but it is interesting to read and applicable in physics.) Do: Supplement pp. 14-15 #1 (you may want to draw the family of solutions and then, using another color, highlight solutions corresponding to the initial conditions given), 2, 3, 4. Stewart: section 7.2 # 3,4,5,6 Do: Section 7.3 #3,4,5,6,9,16,28,33 Extra credit: Supplement p. 1000 #17 |
Tuesday, April 23 | Solution 20** | |
| 21 | Read section 8.10 in Stewart Do: Section 8.10 #3 (express as a familiar function) and 5 (which cannot be expressed as a familiar function) Plus: Problem 1 from Handout K |
Thursday, April 25 | Solution 21 Handout K #1 |
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| 22 | Read the supplement pp. 16-40 Do: Stewart section 7.6 #1, 2 Plus: Problems 2-4 from Handout K |
Tuesday, April 30 | Solution 22 | |
| 23 | Read: Stewart section 7.6 and Supplement pg. 49-50 It is recommended to read the supplement pg. 41-45 as well, although we will not be linearizing about equilibrium points Do: Stewart pg. 559, chapter review problems #20 and 21 Plus: All of Handout L and Problems 1ac, 2 (for 1a and 1c), and 5 from Handout M |
Thursday, May 2 | Solution 23 Handout L Handout M |
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| 24 | Read: Supplement pg. 51-55 Do: Problems 1b, 2 (for 1b), and 3-4 from Handout M AND all of Handout N | Monday, May 6 (in your CA's mailbox) | Handout M Handout N |
| **Note: Starred solutions are provided early so that students can look over their own work in preparation for the upcoming exam. Students will still need to hand in the homework on the due date, and remember that the topics covered by each exam go up to and include each of these assignments. |
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Last update, 05/13/2002, math1b@fas.harvard.edu
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