 Spring 2002 |
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Spring 2002 |
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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, February 4 | 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. |
Wednesday, February 6 | Solution 1 | |
| 2 | Read: Rest of Section 8.2 Do: Section 8.2 #12, 16, 18, 20, 33, 34, 48, 51 Plus: Think and Think Again 2 from Handout A Extra Credit: Section 8.2 #52 |
Friday, February 8 | Solution 2 | |
| 3 | Read: Section 8.3 pg. 583-587 Do: Section 8.3 #1, 2, 3, 4, 10, 19, 20 Plus: Problem 4 from Handout A |
Monday, February 11 | 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 B |
Wednesday, February 13 | Solution 4 | |
| 5 | Read Section 8.5 Do: Section 8.4 #20, 22, 31, 33 plus: Look back at #33. Which Section 8.5 #2, 4, 6, 14. Do 16 but don't worry about the endpoints of the interval. Plus: Problem 2 from Handout B |
Friday, February 15 | Solution 5 | |
| 6 | Read the Series Handout 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 |
Wednesday, February 20 | ||
| 7 | Read Section 8.7 Do: Section 8.7 # 9, 11, 18, 20, 23, 27, 29, 36 | Friday, February 22 | Solution 7 | |
| 8 | Read Section 8.6 Do: Section 8.5 #20abc, 22, 23ab, 28 Section 8.6 #6, 12, 16, 28 Problems 3 and 4 from Handout B |
Monday, February 25 | Solution 8 (with graphs | |
| 9 | Read Section 8.8 Do: Section 8.7 #25, 34, 38 Section 8.8 #1, 4 (first 3 non-zero terms only), 9 (When you use summation notation, treat the first term independently) |
Wednesday, February 27 | Solution 9 (ignore problems not assigned) | |
| 10 | Read Section 8.9 Do: Section 8.9 #19, 20, 22 Plus: Problems 1-3 from Handout D. | Friday, March 1 (oops!) | Solution 10 | |
| 11 | Do: Section 8.9 #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: Problem 4 from Handout D Extra Credit: Section 8.9 #25 (Read the notes on Handout D for guidance) | Monday, March 4 | 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 March 13) | Friday, March 8 | Solution 13 | |
| 14 | Do: Section 5.5 #60 Section 5.6 #4, 5, 8, 14, 22, 28 Plus: pg. 438 Concept Check #5 (as review from first semester calculus) Extra credit: Section 5.6 #34 | Monday, March 11 | Solution 14 | |
| 15 | Do: Section 5.6 #6, 18 Section 5.7 #18, 20, 24, 27, 29 Plus: Problems 1 and 2 from Handout E | Wednesday, March 13 | 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 3-6 from Handout E | Friday, March 15 | Solution 16 (Solutions to Handout E coming) |
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| 17 | Do: Section 5.9 #2, 13, 23, 24 Extra credit options: pg. 441 #72 or Problem 7 or 8 on Handout E | Monday, March 18 | Solution 17 (Solutions to Handout E coming) |
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| 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! Plus: Problem 1 from Handout F Extra credit: Section 5.10 #50 | Wednesday, March 20 | Solution 18 | |
| 19 | Do: Section 5.10 #53 Plus: All of Handout G | Friday, March 22 | 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, April 1 | 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, April 3 | 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 | Friday, April 5 |
Solution 22 | |
| 23 | Do: Section 6.5 #4, 7, 10, 12 Plus: Problem 1 from Handout H (Handout F, part 2, was renamed to Handout G). Extra Credit: Section 6.5 # 17, 18 | Monday, April 8 | Solution 23 | |
| 24 | 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 | Wednesday, April 10 | Solution 24 | |
| 25 | Read: Stewart text Section 7.1 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) plus pages 1-4. Do: Section 7.1 # 1, 4, 6 Supplement pp. 990 # 1, 2, 4 Worksheet on pp. 1-4 |
Friday, April 12 | Solution 25 | |
| 26 | Read: Stewart text Section 7.2 & Supplement Section 31.2 and p. 5-9 Do: Section 7.1 #3, 9, 12, 14 Section 7.2 #1 Supplement 31.2 #3 (pg. 997) |
Monday, April 15 | Solution 26 | |
| 27 | Read: Stewart text Section 7.2 Do: Handout J |
Wednesday, April 17 | Solution 27 | |
| 28 | Read: In the Supplement pp. 5-14. (We're essentially
covering 7.4 and 7.5 in Stewart, but the emphasis is
very different.) 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 Extra credit: Supplement p. 1000 #17 |
Friday, April 19 | Solution 28 | |
| 29 | Read: the 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: Section 7.3 #3,4,5,6,9,16,28,33 |
Monday, April 22 | Solution 29** | |
| 30 | Exam | - | - | |
| 31 | 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 |
Friday, April 26 | Solution 31 Handout K #1 |
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| 32 | Read the supplement pp. 16-40 Do: Stewart section 7.6 #1, 2 Plus: Problems 2-4 from Handout K |
Monday, April 29 | Solution 32 | |
| 33 | Read: Stewart section 7.6 It is recommended to read the supplement pp. 41-45 as well, although we will not be linearizing about equilibrium points Do: Stewart pg. 559, chapter review problems #20 and 21 Plus: Handout L |
Wednesday, May 1 | Solution 33 Handout L |
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| 34 | Read: Supplement pg. 49-50 Do: Handout M |
Friday, May 3 | Handout M | |
| 35 | Read: Supplement pg. 51-55 Do: Handout N |
Monday, May 6 (in your CA's mailbox) | 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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