Homework Assignments
MAP 3474, Section 3130 - Honors Analytic Geometry and Calculus III
Spring 2002

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
W 1/9/01	Read the syllabus and the web handout "Taking notes in a college math class". Also: do problems 12.1/ 1,4,5,8-10, 23-28.
F 1/11/02	12.1/ 13,15,19,29-34, 35-37,40,41 12.2/ 1, 7,9,11
M 1/14/02	Finish reading section 12.2 and do problems 12.2/ 4,5,14, 17,18,23-25,27,28,38-41
T 1/15/02	Although we didn't meet Monday, you should still read Section 12.3 carefully and try to do the following problems: 12.3/1-8,14,15,17,19-22,24,25,29,31
W 1/16/02	12.3/40,41,43,44,48, 49,53,56, 58, 59, 61,62 12.4/1-5,8-11, 13-18
F 1/18/02	Don't fall behind! The assignment due Friday is still: 12.4/19,21,22,25,27,29,30,33,34,39. Use problem 39a to redo problem 12.3/53 and see that you get the same result as before. Also: show that if P is a parallelogram in R2 whose vertices have integer coordinates, or a parallelepiped in R3 whose vertices have integer coordinates, then the area of P in the first case, or the volume of P in the second case, must be an integer. Show, however, that if P is a parallelogram whose vertices have integer coordinates but do not all lie in one of the coordinate planes, then the area of P need not be an integer.
T 1/22/02	Read section 12.5. Also, if you were unable to do certain problems on the last assignment because volumes and the scalar triple-product had not been covered, try them again.
W 1/23/02	12.5/ 1abj, 2-4, 8,11,13,15-18,60. If you feel ready to do some problems concerning planes, based on your reading, then start the assignment that's due Friday, which is much longer than this one.
F 1/25/02	12.5/ 1(all except a,b,j), 5,19,22,23,26,28,31,36,41-43,49,51,54,57, 61,63,65
M 1/28/02	Read section 13.1 and do problems 13.1/1-6. If you feel you understand the reading well enough, get a head-start on the next assignment.
T 1/29/02	13.1/ 7-12, 13-18, 29, 37 Read section 13.2 and do problems 13.2/1, 2
W 1/30/02	13.2/3-6, 9-12, 21,23, 31, 33, 36,37, 41-44, 47. Some of these problems make use of the discussion of tangent vectors, tangent lines, and unit tangent vectors in the first couple of paragraphs of section 13.2; see also Examples 1-3. We will discuss this material in class on Wednesday, but you should attempt the problems first, based on your reading; otherwise you will have too many new problems due Friday.
F 2/1/02	13.4 (not 13.3)/ 4, 7, 9-11, 13, 15, 16, 17a, 18a, 19 Note concerning last year's exam and Friday's Q&A: I will not go over problems from old exams in class. However, if you have worked on the problems and want to know whether your answers are correct, then on an individual basis you may show me your work (at the end of class or in office hours) and I'll tell you whether it's right.
M 2/4/01	FIRST MIDTERM EXAM. I will have an extra office hour Monday 4th period in which I'll be able to answer short questions. However, by the morning of the exam, it will be too late for me to explain some whole topic that you don't understand.
T 2/5/02	Read section 13.3
W 2/6/02	13.3/ 12a,13a,14a, 33, 35 (osculating plane only). Before doing problems, 33 and 35, read the definitions of the binormal vector B and osculating plane on p. 854. 13.4/ 28, 31, 33
F 2/8/02	13.3/1-4,7,10,12b,13b,14b
M 2/11/02	13.3/21,24,30,31,41,42 Read section 14.1 We will spend some time on Monday going over homework; bring in your questions. The grade scale for the first exam is now posted on the grade scale page.
T 2/12/02	14.1/5,6-8,10,11 (note that in 11-20 you are not trying to graph the function, but only to sketch its domain) 12, 16, 19, 21-23, 31, 34,35,37,39, 45, 51-56
W 2/13/02	14.1/ 24,30 12.6/1-8,10,11,17,18.
F 2/15/02	12.6/9,12,13,15,16,19,20,21-28, 31-33.
M 2/18/02	no new hw
T 2/19/02	14.2/5-14,17,18,27,31,33,35,36,37,38,40
W 2/20/02	14.3/7, 11-16,19,21,22,31,33,36,43,44,45. Since these should not take you too long, I suggest that you also read from Example 4 through the end of the section, and get a head-start on the problems from 14.3 due Friday.
F 2/22/02	14.3/39,40,51,53,55,56,59,66abdf,67,69,79,81,87bcd Read section 14.4 through Example 3 and do problems 14.4/1,3,6,12,13,17,19
M 2/25/02	14.4/ 23,27,30,31,34,38,39,41,42 Read section 14.5 through Example 7 and do problems 14.5/1,2,6,7,9,13,19,33,36,41
T 2/26/02	Read the remainder of section 14.5.
W 2/27/02	14.5/ 36,41,46,50a. 14.6/7ab-9ab Wednesday's class will just be a Q&A session. Remember that I will not go over problems from old exams in class, or publish solutions to old exam problems. However, if you have worked on the problems and want to know whether your answers are correct, then on an individual basis you may show me your work (at the end of class or in office hours) and I'll tell you whether it's right.
F 3/1/01	SECOND MIDTERM EXAM (note change from original date)
M 3/11/02	Finish reading section 14.6.
T 3/12/02	14.6/3,7c-9c (you already did 7ab-9ab), 11 (before doing 11-16, re-read Example 4 on p. 930),12,15,16. Redo all problems on the exam that you got wrong, and be prepared to ask questions on any problem that you still can't do. I plan to stay after class Tuesday to answer those questions. If you can't stay after class, remember that you can also see me in office hours or by appointment. Read section 14.7.
W 3/13/02	14.6/19,21,22,25,27,30,32,35,37,41,45,50,52
F 3/15/02	Re-read the Second-Derivatives Test and the definition of "saddle point" (both of which will be discussed in class on Friday) and do problems 14.7/ 1-4, 5-10 [the instructions for 5-18 should say "Find the maximum and minimum values (and the points at which they are achieved) and the saddle point(s) ..."], 12-15,17.
M 3/18/02	14.7/37,39,43,45,51,52. Based on your reading, if you are able to get started with the problems due Tuesday from 14.7, that would be a good idea. Read section 14.8.
T 3/19/02	14.7/27,29,31,32 Read the web handout Algebra in Lagrange Multiplier Problems. 14.8/1,3-7, 9,12,25,27,31,33. Also redo 14.7/51 using Lagrange multipliers. My plans for class on Tuesday are just to do Lagrange multiplier examples and go over homework problems, so come prepared with questions. (Of course, if you have no questions, I'll be happy to move onto new material!)
W 3/20/02	14.8/41 p. 963/61 Read section 15.1
F 3/22/02	15.1/11,14,17,18 15.2/1,3,4,7,12,13-15,21-24,27
M 3/25/02	15.3/1,2,5-8,13,14,19,22,23,28, 33-36 Read section 15.4
T 3/26/02	15.3/39,45,46,50,53 15.4/ 1-11
W 3/27/02	15.4/12,14,15,16,19,20,23,24,26,27,29,31,33
F 3/29/02	15.5/1,2 15.6/ 2-5, 7-10
M 4/1/02	No new homework. I will have an extra office hour Monday 11:00-12:00. Monday's class will just be a Q&A session. Remember that I will not go over problems from old exams in class, or publish solutions to old exam problems. However, if you have worked on the problems and want to know whether your answers are correct, then on an individual basis you may show me your work (at the end of class or in office hours) and I'll tell you whether it's right.
T 4/2/02	THIRD MIDTERM EXAM (note change from original date)
W 4/3/02	Read sections 15.7 and 12.7 (yes, 12.7).
F 4/5/02	15.7/2,5,6,7,9,10,14,16,17,18, 29 12.7/1,3,4,9,10,31,36,37,38,43,44,57 (theta is intended to run from 0 to 2*pi here)
M 4/8/02	12.7/ 13,14,16,17 [Note: in this book, a triple of spherical coordinates is always written in the order (rho,theta,phi); some authors write the angular variables in the other order], 20-22, 32-35, 39, 40, 42, 49-53 [in 49-53, you are intended to get a feel for which types of equations are simplest in which coordinate systems], 59,60,61
T 4/9/02	15.8/1-6, 7, 8, 11, 17, 19, 22, 23, 29 (volume only), 30
W 4/10/02	15.9/1,2,4,6,7-10, 11, 13, 15, 17, 21
F 4/12/02	16.1/1-3,5,6,9, 11-13, 15, 18, 21, 23, 29-32 16.2/1,3,9,10, 31 (find mass only), 34 (find mass only)
M 4/15/02	16.2/5,6 [Note: an easy parametrization of a graph of the form y=f(x) is obtained by using x as the parameter (x(t)=t, y(t)=f(t) ); an analogous statement holds for graphs of the form x=f(y) ] 7,8, 16, 17, 20, 39, 40, 44 Read section 16.3
T 4/16/02	Read examples 3 and 4 of section 16.3 and the material on "curl" in section 16.5 (pp. 1075-1078(top)). 16.3/1,4,5,8-10, 12, 13, 16, 19, 23 16.5 (not 16.4)/1a-3a,6a,7a,9b,11b, 13, 14, 18, 21
W 4/17/02	Read pp. 1078-1079 and do problems 16.5/1b-3b,6b,7b, 19 (hint: Theorem 11), 22. You may also want to get started on the problems from 16.5 due Friday. Read section 16.4
F 4/19/02	16.5/12,23-26 16.4/1-4,9,11,12, 17,19
M 4/22/02	16.6/1-4 (each of these surfaces are either planes or one of the surfaces studied in section 12.6; "identify the surface" means "decide which of these previously-studied surfaces is represented parametrically here"), 11-13, 17, 21, 22, 29, 36, 40 16.7/5,8,13
T 4/23/02	16.7/19,21,23,27 Read sections 16.8 and 16.9
W 4/24/02	16.8/1,2,4,7,10,13 16.9/3,4,7,9,12
T 4/30/02	FINAL EXAM begins at 5:30 p.m. in our usual Tuesday classroom (MAT 006). I will have an office hour Monday, Apr. 29, 3:00-4:00 p.m.