Homework Assignments
MAP 2313, Section 3195 - Analytic Geometry and Calculus III
Fall 2000


Last update made by D. Groisser Sat Dec 9 16:36:10 EST 2000

Homework problems and due dates are listed below. This list, especially the due dates, will be updated frequently. Due dates more than one lecture ahead are estimates. Note that on a given day there may be problems due from more than one section of the book.

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, 3nd 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.

Date due Section # / problem #'s
F 8/25/00 Read the syllabus and the "Attendance: frequently asked questions" handouts.
F 8/25/00 11.1/ 1,4,5,8,9, 28-36
M 8/28/00 11.1/ 10,13,14,15,19,22,25a,26,27,37-45
M 8/28/00 11.2/ 1,4,5,7,9,11,14
T 8/29/00 11.2/ 27,28,35-38
W 8/30/00 11.2/ 17,18,19,22,23
W 8/30/00 11.3/ 1-6,51,60
F 9/1/00 Read pp. 667-678 through Example 3, and attempt the following problems: 11.3/ 7,8,14,15,17,19-22,24,25,29,30. We haven't covered this material in class yet, but we will on Friday. Any problems you're not able to do for Friday are due Tuesday 9/5 (in addition to the assignment below).
T 9/5/00 11.3/ 37,39,41,43,45,46b, 47, 53, 56, 58,61,62
W 9/6/00 no new problems (11.4 postponed)
F 9/8/00 Read section 11.4 and do as many of the following problems as you're able to; we'll start covering this material in class on Friday 9/8/00. Problems that you're unable to do by Friday are part of your assignment for Monday 9/11/00.
11.4/ 1-5,8-11,13-18,19,21,22,25,27,29,30,33,34,36,39
M 9/11/00 11.4/ see assignment for 9/8/00
M 9/11/00 Read from beginning of section 11.5 through Example 3
T 9/12/00 11.5/ 1-5,8,11,13,15-18. Also, read the remainder of section 11.5.
W 9/13/00 11.5/ 60. Since this is a short assigment, you might also want to get a headstart on the assignment from section 11.5 due Friday 9/15/00, or start reading section 11.6.
F 9/15/00 11.5/ 19,22,23,26,28,31,36,41-43,49,51,54,57, 59,60, 61,63,65
M 9/18/00 11.6/ 1-3,5,8,10,11,14,17-21,25-28. For this assignment, and for the first exam, the only quadric surfaces you are responsible for knowing about are ellipsoids, hyperboloids of one and two sheets, and elliptic paraboloids (Figures 1-3, 5, 7a, 9, and 10, and Examples 1 and 2). Until Wednesday (after the exam), you will not be responsible for cones, hyperbolic paraboloids, or cylinders (Figures 4,6,7b, and 8, and Example 3.)
T 9/19/00 MIDTERM EXAM. If UF is closed on Mon. Sept. 18 because of Hurricane/Tropical Storm Gordon, then your exam will be postponed until Wed. Sept. 20.
W 9/20/00 11.6/ 4,6,7,9,12,13,15,16,22-24,30,31
F 9/22/00 No new assignment. The HW due Monday will be from section 11.7, in case you want to use your time to read ahead.
M 9/25/00 Read section 11.7. You might want to get started on the problems due Tuesday and Wednesday, since there are a lot of them. You will probably find problems 23-44 easier than problems 1-16.
T 9/26/00 11.7/ 1,5,6,7-12,15,16,23-26, 27-31
W 9/27/00 No new problems. Note that #'s 35-39 have had their due date moved from Tuesday to Friday. Potential quiz material consists of the problems from 11.6 due 9/22 and the problems from 11.6 due 9/26.
F 9/29/00 11.7/ 35-39, 41-44, 45, 48, 53, 57, 59, 60, 61-63
M 10/2/00 no new problems
T 10/3/00 Read section 11.9 through Example 4 and do problems 11.9/ 1,3,5, 7-11.
T 10/3/00 Read section 11.8 through the top of p. 715 (you don't need to read the discussion of "curvature" yet) and do problems 11.8/ 1-4,7-9.
W 10/4/00 11.9/ 13-16
F 10/6/00 11.8/ 31,32
M 10/9/00 Read material on curvature in section 11.8, pp. 715-717 (through Example 5) and material on tangential and normal components of acceleration in section 11.9, pp. 724-725 (through Example 6).
M 10/9/00 11.8/ 11a,12a,13a,14a. Save your work and your answers for use in next assignment.
T 10/10/00 11.8/ 11b-14b, 15,18, 21, 25, 28, 29. We will discuss the theory behind these problems in class on Tuesday (the due date of this assignment), but you should be able to do all the problems just based on the book's Formula 9, Theorem 10, and Formula 11, as the instructions for the problems indicate.
T 10/10/00 Read section 12.1. (We will cover section 11.10 later in the semester.)
W 10/11/00 No new homework
F 10/13/00 12.1/ 1abce,3ace,4a5-10,14,15-18,24,29,30,31-42,57,58
M 10/16/00 12.1/ 43-56,59-64
M 10/16/00 In section 12.2, read Examples 1 and 2, the discussion on pp. 753-754 that starts after the end of Example 4, and Examples 5, 7, and 10. Do problems 12.2/ 1-14, 33, 36-40, 43,46.
T 10/17/00 MIDTERM EXAM
W 10/18/00 Read Examples 3, 4, 6, 8, and 9 in section 12.2 and do problems 12.2/15,16,44,45.
F 10/20/00 12.2/ 13,19,20,44,45,47,48
M 10/23/00 12.3/ 1,3,5,7,13,17,18,21,22,25,29,31,35,43. You may want to read ahead in Section 12.3 (in class we haven't yet covered the material in Examples 3 and 4, or the material on higher derivatives on pp. 761-764) and get started with the next assignment, which is much longer than this one.
SPECIAL NOTE The next midterm will be Wednesday, Nov. 15 , one day later than stated in the original syllabus. (The syllabus has now been updated.)
T 10/24/00 12.3/ 9,10,51-55, 57-59, 63-65, 67-69,72, 76abf,77,79,89
T 10/24/00 12.4/ 1,2,5,6
W 10/25/00 12.4/ 19, 23(the blue icon next to 19 and 21 means that these problems are meant to be done with a calculator), 29,36
M 10/30/00 Read the material on the Chain Rule in section 12.5 through Example 6, and do problems 12.5/1-16, 17,19,21.
M 10/30/00 12.6/5ab-8ab. Save your answers; you will need them for a later assignment that will include 5c-8c.
T 10/31/00 12.5/ 23,24,27,28,30,33,41,43,47
W 11/1/00 12.6/ 1,2,5c-8c,11,12,15,16,17,18,22,24,26,28 (you may use a calculator in part (b) if you want the answer in terms of degrees), 31-34
F 11/3/00 Read pp. 788-790 and do problems 12.6/ 35,38,43,48,49,50,55
M 11/6/00 Start problems 12.7/1-7,11-13 by computing the critical points of all the functions involved. Save your answers for use in the next assignment, where (among other things) you will complete these problems by determining whether these critical points are the locations of relative maxima, minima, or neither.
T 11/7/00 12.7/ 1-7,11-13, 25-27,30,31, 35,36,39,40
W 11/8/00 12.7/ 41,43,48,50. Potential quiz material consists of the problems from 12.6 and 12.7 with due dates from 11/3 to 11/8/00.
M 11/13/00 Read section 12.8 through the end of example 4, and read the web handout Algebra in Lagrange Multiplier Problems. You may also want to get started on the problems in the next assignment.
T 11/14/00 12.8/ 1-5,9,17,23,25,26,29,30,31,33,38,40. (Note: the problems assigned from 25-40 refer to problems that you did in earlier homework, so you can compare your solutions.)
W 11/15/00 MIDTERM EXAM
M 11/20/00 Read section 13.1 and do problems 13.1/1,15,16.
T 11/21/00 13.2/ 1-4, 6,7,9,11,12,14,15
T 11/21/00 13.3/ 1,3,5,7,8,11,13-16,19
W 11/22/00 13.3/ 33-35,39,40, 45 (D is the region in the diagram below the problem. "Type I" and "Type 2" mean vertically simple and horizontally simple, respectively).

Note: The homework assignments due next week will be heavier than usual. To reduce the crunch, I would suggest that if you have the time after you're done with problems due Wed. 11/22, you get started on next week's assignments.

Important: The math department computers will be down from Thurs., Nov. 23, 10 p.m. to Sun., Nov. 26, 9 p.m., so you should make a hard copy of Monday's assignment (at least) before you leave for Thanksgiving.

M 11/27/00 13.3/ 22-25,28
M 11/27/00 Read section 13.4 and do problems 13.4/ 1-5,8-10,15,16,19,20,24
M 11/27/00 Read sections 13.6 (we are skipping 13.5) and 11.10 (which is needed for section 13.8)
T 11/28/00 13.6/ 1,3,4,6,8
T 11/28/00 13.7/ 2-5,7,9,15,20,25,26,32,33,47
Note:Although the lectures are currently lagging the homework assignments, you should do the reading and attempt to do the problems by the assigned due date anyway, or you will have too many problems to do in less time later on. The lectures should catch up to the homework soon.
W 11/29/00 11.10/ 1,4,9,10,16,17,19,24,33-45,51-54,57, 59-62
W 11/29/00 13.8/1-4,5,6,9,11,15,16,18,19
F 12/1/00 13.8/33,35
F 12/1/00 Read section 14.1
M 12/4/00 14.1/1,2,5,6,20,24
M 12/4/00 Read section 14.2
T 12/5/00 Read section 14.3.
T 12/5/00 14.2/ 1-5,7,9,11,17-21
W 12/6/00 14.5/ 1-10, 32-35. Note that the quantity called r in 32-35 is what we called "rho" in sections 11.10 and 13.8 (sorry, I don't know how to get Greek letters into HTML documents).
F 12/15/00 FINAL EXAM begins at 12:30 p.m. in our usual classroom. Click for my exam week office hours.
F 12/15/00 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. (I won't be posting anything outside my office door.) To find out your exam score or any other non-posted information, you'll need to wait until January. I will be unavailable from Dec. 16 to Jan. 7. Early next semester, please either phone me, use email to set up an appointment with me, or stop by during my office hours (which will be available from a link on my home page ).


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