Homework Assignments
MAP 2312, Section 0639
Analytic Geometry and Calculus 2
Fall 2001


Last update made by D. Groisser Fri Dec 7 16:52:50 EST 2001

Homework problems and due dates (not the dates the problems are assigned) are listed below. This list, especially the due dates, will be updated frequently, usually in the late afternoon or evening the day of class or the next morning. Due dates and assignments more than one lecture ahead are estimates--in particular, due dates may be moved up--and sections of the book not currently represented on the list may be added later. Note that on a given day there may be problems due from more than one section of the book.

Exam dates and some miscellaneous items may also appear below.

If one day's assignment seems lighter than average, it's a good idea to read ahead and start doing the next assignment, which may be longer than average.

Unless otherwise indicated, problems are from our textbook (Stewart, 4th edition). It is intentional that some of the problems assigned do not have answers in the back of the book or solutions in a manual. An important part of learning mathematics is learning how to figure out by yourself whether your answers are correct.

Read the corresponding section of the book before working the problems. The author's "To the Student" remarks on p. xiv are right on the money:

Some students start by trying their homework problems and read the text only if they get stuck on an exercise. I suggest that a far better plan is to read and understand a section of the text before attempting the exercises.

Date due Section # / problem #'s
F 8/24/01 Read the syllabus and the web pages "Attendance: frequently asked questions" and "Taking notes in a college math class".
F 8/24/01 6.1/ 1-9,11
M 8/27/01 6.1/ 14, 17, 20, 23, 24, 26, 27, 29, 31 (in this one you may use a calculator), 40, 44, 45, 49
T 8/28/01 6.2/ 1-3,5,7,10,13,16,19,23,24,25,31,39,42,44, 45-50
W 8/29/01 6.2/ 52, 53, 54, 61, 69
W 8/29/01 6.3/ 1-3, 5,6,8,10,13,15,19,27,29,31,32, 35,36,44
F 8/31/01 Read sections 6.4 and 6.5. You may want to try to start the problems that are due Tuesday so that you have less work to do at the end of your long weekend.
T 9/4/01 6.4/ 1,2,3,5,15,17,25
T 9/4/01 6.5/1-8,9,13,15,21. Try to do these based on your reading. We will cover the material on Tuesday, but if you try to get started on the problems first, you'll have that much less work to do Tuesday night.
W 9/5/01 No new homework.
F 9/7/01 Read section 7.1. Try to start on the problems that are due Monday.
M 9/10/01 7.1/1-11,15-17,22,24,27,29,32, 39,42,46-48,51,55-57
T 9/11/01 7.2/1-8,11,12,15,16,53,57,60
Special Notice, Wed. Sept. 12 Classes resume today, but we will not have a quiz. However, we may have a quiz on Friday instead. I will not take attendance today, but please come on time.
F 9/14/01 7.2/9,10,13,14,19-23,27,28,33,46,63,64. You will need to read the remainder of section 7.2 (pp. 479-482) to do some of these. Potential quiz material is the material in sections 7.1 and 7.2.
M 9/17/01 Read section 7.3.
T 9/18/01 7.3/1-3,7-11, 14, 17, 20, 22
Special Notice The dates of the first two exams are changed to Monday Sept. 24 and Monday Oct. 22.
W 9/19/01 7.3/4-6, 21, 23-30, 33, 34, 41.
F 9/21/01 No new homework. On Friday we will review for Monday's exam. "Review" means the same sort of thing we usually do on Wednesdays (without the quiz)--I don't have a prepared script, I just answer your questions. I will not work through any problems on the old exam. There are several reasons for this, the most important of which is that the problems are meant for you to figure out, not for you to watch me figure out. I also will not publicly give out answers to old exam questions. It is very important that you learn to how to tell for yourself whether your answers are right or wrong. I know that's not so easy when you're just learning something for the first time, but I want you to try nonetheless. After doing the problems and checking them, you may ask me on an individual basis whether your answers or methods are correct, but I'll ask you to show me your work on the problems and how you checked the answers before I tell you whether what you did was right or wrong.
M 9/24/01 First midterm exam.
W 9/26/01 Read from the start of section 7.4 through Example 3; also read the material on "Case III" (p. 494 to top of p. 496). You do not need to read cases II and IV yet. Do problems 7.4/1,2,6 7,8, 13-18,20-22,33, 40
F 9/28/01 Read the rest of section 7.4 and do problems 7.4/3-5, 9-12, 19, 23, 26-28, 32,34, 39,41,42, 43, 44, 51,55,56, 57, 58,62
M 10/1/01 Read section 7.5. I will not go over most of this section in class; with the exception of the topic "Can We Integrate All Continuous Functions", it is purely review.
M 10/1/01 7.5/1-10. Over the next few weeks, I will assign all problems in section 7.5 so that you keep practicing your integrals.
T 10/2/01 7.5/11-15
W 10/3/01 7.7/7,8,24,32,38
W 10/3/01 7.5/16-25
F 10/5/01 7.5/26-35
F 10/5/01 read section 7.8
M 10/8/01 7.8/1-3, 5-11, 15, 16, 17 (the integrand should read "cos x"), 20-25
T 10/9/01 7.8/ 27-33, 35, 36, 39, 55-60
T 10/9/01 7.5/36-40
W 10/10/01 7.8/49-54
W 10/10/01 7.5/41-50
F 10/12/01 7.5/51-60
F 10/12/01 Read section 11.1 (we are covering Chapter 11 next)
M 10/15/01 11.1/ 1-14, 15-19, 21, 23-29, 47, 50, 51
T 10/16/01 11.1/ 30-38, 52-58
T 10/16/01 11.2/ 1,2,3-6,8 (note: in 3-8, the little icon in the margin means that you may use a calculator), 10, 11-20, 25, 28, 29, 35, 36
W 10/17/01 11.2/ 23, 24, 27, 30-32, 41-46, 49, 57, 60-63, 67. Also, read pp. 710-711.
F 10/19/01 7.5/ 61-70. On Friday we will review for Monday's exam. For what "review" means, see the message for 9/21/01 above.
M 10/22/01 Second midterm exam. Additional office hours this day: 10:00 - 11:15 a.m.
T 10/23/01 Read section 11.3. Note: my office hour on Tuesday this week is cancelled. If you need to see me Tuesday, I can see you after class.
W 10/24/01 No new problems. Study your notes on sequences and series; re-do homework that you had problems with. If you had trouble with the integrals on the exam, redo some exercises from the appropriate section of Chapter 7. If you had any trouble at all with the sequence problems and series problems on the exam, use this opportunity to catch up on that material; taking a holiday from calculus when you're already behind would be a major mistake. So far we have covered only the easiest parts of Chapter 11; if you do not get the basics down firmly, you will not understand anything we do between now and the next exam.
F 10/26/01 11.3/1-17, 19-22, 25, 30, 33, 35
M 10/29/01 11.4/1-11, 13, 15, 17-20, 25, 26, 28, 29, 31, 33, 37, 38. With practice, and an understanding of which p-series and geometric series converge, you will be able to do most problems such as 3-28 in a matter of seconds.
T 10/30/01 11.5/1-8, 11-16, 20, 21 (just calculate 10th partial sum and estimate the error), 23, 25, 27, 31, 32, 34, 35
W 10/31/01 11.6/1-10
M 11/5/01 11.6/11, 12, 14, 17, 19, 22, 24, 27, 31, 33, 35
M 11/5/01 Read Section 11.7 and do problems 11.7/1-10.
T 11/6/01 11.7/11-25
T 11/6/01 Read section 11.8 and do problem 11.8/1
W 11/7/01 11.8/2, 3-11, 13, 14, 16, 19, 20, 23. Note on terminology: "interval of convergence" means "domain of convergence". In view of the theorem stated at the end of Tuesday's class (the theorem on p. 742), the domain of convergence is always an interval, so the term "interval of convergence" is justified.
W 11/7/01 11.7/26-30
F 11/9/01 11.8/29, 30, 36, 38, 39
F 11/9/01 11.7/31-33, 36
T 11/13/01 Read section 11.9 and do problems 11.9/1,2,4-9,11,13,16,17,19,20,25-28,29,39. In these problems, when asked to find a power series representation, use 0 as the center point.
W 11/14/01 11.10/1,2, 3-6, 10-15. In 3-15, don't worry about what "Rn(x)" is; just find the Taylor (or Maclaurin series) by plugging into the formula we developed in class today (boxes 6 and 7 on p. 752) and find the radius of convergence just as we did in sections 11.8 and 11.9.

On Wednesday we will review for Friday's exam. For what "review" means, see the message for 9/21/01 above.

F 11/16/01 Third midterm exam. Office hours 10:15-11:30 today. Show up early enough to get your questions answered (e.g. do not show up at 11:25).
M 11/19/01 Finish reading section 11.10
T 11/20/01 Start doing the problems that are due Wednesday. In class, we have not yet derived all the relevant Maclaurin series, but you should be able to do most of the problems based on your reading. Most of the important formulas are summarized in the box on p. 758.
W 11/21/01 11.10/21-26, 29, 30, 37, 38, 40, 41, 45-48, 50, 51, 53-56, 60a. Note that in 21-30, the point is to make use of specific Maclaurin series that were derived earlier in this section; if you are computing any derivatives when doing 21-30, you are not doing the problems in the intended manner. Note also that in 45-48, you should not be using l'Hopital's Rule.
M 11/26/01 11.10/37, 38, 40, 41, 50, 51, 53-56, 60a.
M 11/26/01 Read section 11.11 and do problems 11.11/1-5,11. We may not have time to discuss this section in class, but you are still responsible for it.
T 11/27/01 8.1/1,2,3,7-10,23,31
T 11/27/01 8.2/1-3, 5,6,8,9, 12, 15, 17, 37
W 11/28/01 8.2/ 21, 28, 31
W 11/28/01 10.1/1-6, 7-9, 11, 16, 17, 20
F 11/30/01 Read sections 10.2 and 10.3. I will not cover 10.3 in class, but you should be able to do the problems below based on your reading
F 11/30/01 10.2/1-4, 5, 7
F 11/30/01 10.3/1-4, 5, 21,22,23.
M 12/3/01 Read section 10.4 and do problems 10.4/1-12
T 12/4/01 10.4/15-17,19, 21-25, 29, 30, 33-39
W 12/5/01 10.4/43-45
W 12/5/01 Read section 10.5 through top of p. 673 (through the end of Example 3) and do problems 10.5/1,3,5-8, 9,10,17,18, 23, 27. After doing 1, 3, and 5 completely, just set up the integrals in the rest of the problems; after you've done that for all the problems go back and compute the integrals you set up.
Office hours Friday and Monday I will not hold my morning office hour on Friday. Instead, I will hold an office hour Friday afternoon, 3:00-3:50, in our usual classroom, unless nobody shows up with questions. I will also have office hours on Monday from 11:00-12:00 and 3:00-4:00.
T 12/11/01 FINAL EXAM begins at 12:30 p.m. in our usual classroom.
After the exam, please do not email me with questions about your grade for the class, your performance on the exam, etc. I will not email any information relating to the final exam or grades. Course grades should be available from ISIS starting sometime on the Monday after exam week. I will post some exam statistics, and perhaps some other statistics, on your grade scale page.


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