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, 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 |
|---|---|
| T 1/9/01 | Read the syllabus and the "Attendance: frequently asked questions" handouts. |
| T 1/9/01 | 11.1/ 1,4,5,8,9, 28-36 |
| Important correction |
The final exam will be given Tuesday, May 1, starting at 3:00 p.m. The date announced in class on Monday was wrong (but the hour was correct). |
| W 1/10/01 | 11.1/ 10,13,14,15,19,22,25a,26,27,37-45 |
| W 1/10/01 | 11.2/ 1,4,5 |
| F 1/12/01 | 11.2/ 7,9,11,14, 17,18,27,28,35-38 |
| T 1/16/01 | 11.2/ 19,22,23 |
| T 1/16/01 | 11.3/ 1-6,51,60 |
| W 1/17/01 | 11.3/ 7,8,14,15,17,19-22,24,25,29,30,37,39,41,43,45,46b |
| F 1/19/01 | 11.3/47, 53, 56, 58, 62 |
| M 1/22/01 | 11.4/ 1-5,8-11,13-18,36 |
| T 1/23/01 | 11.4/ 19,21,22,25,27,29,30,33,34,39. Use problem 33a to redo problem 11.3/53 and see that you get the same result as before. |
| T 1/23/01 | 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. |
| W 1/24/01 | Read pp. 689-690, except for the last paragraph on p. 690, and do problems 11.5/ 1-4. (Of course, you should feel free to read ahead and work problems from the next assignment!) |
| F 1/26/01 | Read the remainder of section 11.5 and do problems 11.5/ 5,8,11,13,15-18,60. |
| M 1/29/01 | 11.5/ 19,22,23,26,28,31,36,41-43,49,51,54,57, 59,60, 61,63,65 |
| T 1/30/01 | Read section 11.7 and do problems 11.7/ 1,5,6,7-12,15,16,23-26, 27-31. You may find the sketching problems (1-16) harder than anything else in this section. If you're getting nowhere tonight with these problems, trade them for some problems from the next assignment, and then come back to the sketching after we've discussed it a little in class. |
| W 1/31/01 | 11.7/ 35-39, 41-44, 45, 48, 53, 57, 59, 60, 61-63. The same comments apply about sketching as for the previous assignment. |
| F 2/2/01 | Read section 11.9 through Example 4 and do problems 11.9/ 1,3,5, 7-11. |
| M 2/5/01 | MIDTERM EXAM (date changed as announced in class) |
| T 2/6/01 | 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. |
| F 2/9/01 | Read the remainder of section 11.8 and do problems 11.8/ 11a,12a,13a,14a. Save your work and your answers for use in next assignment. Since this assignment is short, you may want to get a headstart on the HW due Monday. |
| M 2/12/01 | No new homework (original assignment postponed by one day). Use the time to get ahead either in this class or one of your others, to head off a crunch further down the road. |
| T 2/13/01 | 11.8/ 11b-14b, 15,18, 21, 25, 28, 29, 31,32 |
| W 2/14/01 | Read section 11.6 and do problems 11.6/ 1,3,5,8-10,14,16,17-20,22,25,26,28. |
| F 2/16/01 | Read the remainder of section 11/6 and do problems 11.6/ 2, 4,6,7,11,12,13,15,21,23,24,27,30,31 |
| Special notice |
Write a math history paper and win money! Click for details on the Robert Long Prize. |
| M 2/19/01 | 12.1/ 1ace,3ace,4a,5-10,14,15-18,24,29,30,31-42,43-47, 50-52,56,57,58, 59-64 |
| T 2/20/01 | 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. |
| W 2/21/01 | Read Examples 3, 4, 6, 8, and 9 in section 12.2 and do problems 12.2/15,16,19,20,44,45,47,48. |
| F 2/23/01 | Read section 12.3 and do problems 12.3/ 1,3,5,7,9,13,17,18,21,22,25,29,31,35,43, 51-55. |
| M 2/26/01 | 12.3/ 10, 57-59, 63-65, 67-69,72, 76abf,77,79,89 |
| T 2/27/01 | 12.4/ 1,2,5,6,19, 23 (the blue icon next to 19 and 21-24 means that these problems are meant to be done with a calculator), 29,36 |
| W 2/28/01 | MIDTERM EXAM (date changed as announced in class) |
| F 3/2/01 | 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 3/12/01 | Come back refreshed from a nice vacation. Special Notice: On Monday Mar. 12 at 4:00 p.m. in the University Auditorium, there will be a talk by magician, MacArthur fellowship recipient, and Stanford mathematician Persi Diaconis, who is also known as an excellent and very entertaining speaker. The talk, "On Coincidences", should be accessible to a general audience, and should be very enjoyable to just about anyone. You and your friends are all invited! For more information about the talk and the speaker, click here. |
| T 3/13/01 | 12.6/5ab-8ab. Save your answers; you will need them for a later assignment that will include 5c-8c. |
| T 3/13/01 | 12.5: No new problems; review the assignment that was due March 2. (The homework got slightly ahead of the lecture.) |
| W 3/14/01 | 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. Potential quiz material includes all the problems assigned to date from 12.5 and 12.6. In class we did not get to discuss "Case 2" and the "General Version", as they are called in the boxes on pp. 776-777, but if you did the reading you shouldn't have had any trouble with those problems. |
| F 3/16/01 | 12.5/ 23,24,27,28,30,33,41,43,47 |
| M 3/19/01 | Read pp. 788-790 and do problems 12.6/ 35,38,43,48,49,50,55 |
| T 3/20/01 | Read section 12.7. |
| W 3/21/01 | 12.7/ 1-7,11-13 | F 3/23/01 | No new homework, but feel free to get a headstart on what's due Monday. | M 3/26/01 | Re-read pp. 798-799 and do problems 12.7/ 25-27,30,31, 35,36,39,40, 41,43,48,50. |
| T 3/27/01 | 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. Special note: On Tues. Mar. 27 my office hour will be 4th period (10:40-11:30) rather than 5th period. |
| W 3/28/01 | 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.) |
| F 3/30/01 | Read section 13.1 and do problems 13.1/1,15,16. |
| M 4/2/01 | 13.2/ 1-4, 6,7,9,11,12,14,15 |
| T 4/3/01 | 13.3/ 1,3,5,7,8,11,13-16,19. For the midterm, you are responsible for material represented by these problems, but not for the material represented by the homework due Friday Apr. 6. The material for which you are not yet responsible includes changing-the-order-of-integration problems (Example 5, p. 828), some volume problems that I regard as harder to set up than the one I did in class, and integrals over regions not of Type I or Type II. |
| W 4/4/01 | MIDTERM EXAM (date changed as announced in class) |
| F 4/6/01 | 13.3/ 22-25,28,33-35,39,40,45 |
| M 4/9/01 | 13.4/ 1-5,8-10,15,16,19,20,24 |
| Special notice. In case you've been wondering who's currently scheduled to teach what math courses in the fall, besides Dr. Staff, I've posted the information that I've been given here. | |
| T 4/10/01 | Read section 13.7 and do problems 13.7/ 2-5,7,9,15,20,25,26 |
| T 4/10/01 | Read section 11.10 (I chose to defer section 11.10 until we'd be using that material, which will be in section 13.8.) You may want to get started on the problems from this section that are due Wednesday. |
| W 4/11/01 | 13.6/ 1,3,4,6,8 |
| W 4/11/01 | 13.7/ 32,33,47 |
| W 4/11/01 | 11.10/ 1,4,9,10,33,36-38,45. These problems involve only cylindrical coordinates, not spherical. Since switching between cylindrical and Cartesian coordinates just involves switching (x,y) to polar coordinates (or vice-versa) and leaving z alone, I think you should be able to handle these. |
| Office hour change for Friday 4/13. I'll be substitute-teaching for another professor during 4th period, so I'll hold my office hour 9th period instead. | |
| F 4/13/01 | 11.10/ 16,17,19,24,34,39-44,51-54,57, 59-62. |
| F 4/13/01 | 13.8/1,2,5,6,9,11,33 |
| M 4/16/01 | 13.8/3,4,15,16,18,19,35. If you're unable to get a handle on these because we haven't done enough with spherical coordinates in class, and you've completed the section 14.1 homework below, then to avert a homework crunch in a few days you should start reading further ahead in chapter 14. |
| M 4/16/01 | Read section 14.1 and do problems 14.1/1,2,5,6,20,24 |
| T 4/17/01 | Read section 14.2. Start on the homework due Wed. by parametrizing the curves in problems 14.2/ 3-5,7,28a,30,36,41. If you feel you understand how to do complete the problems by doing the integrals, by all means try, but it's okay to wait till we've discussed line integrals in class. |
| W 4/18/01 | 14.2/ 1-5,7,9,11,17-21,27,28a,30 (just find the mass),36,41 |
| F 4/20/01 | Read section 14.3 and do problems 14.3/1,4,7,10. If you feel you understand the material well enough, and have finished the homework from section 14.5 below, get a head start on the other problems from 14.3 that are due Monday. |
| F 4/20/01 | Read section 14.5 through example 4 and do problems 14.5/1-10. I'm assigning these problems out of order to reduce what you would otherwise have to do next week. All you need to do in these problems is plug into the definitions of divergence and curl; there's nothing conceptual (for these problems) that we need to discuss in class first. |
| M 4/23/01 | 14.3/ 11,12,15,16,17,19,21, 29-34 |
| M 4/23/01 | PARTY!!
7:00 p.m., Little
Hall Atrium (3rd floor).
Directions to Atrium: 1. Take elevator to third floor. 2. Exit elevator. 3. Go through doors that are in front of you to your right. 4. Entrance to Atrium is on your left. |
| T 4/24/01 | 14.4/ 1-4,7,8,12,13,17,21. In problems 7-17, the point is that
sometimes (e.g. in all these problems) the relevant double
integral, equal to the line integral by Green's Theorem, is
easier to compute than the line integral is directly. In problem 21,
exactly the opposite is true.
Temporary amnesty will be granted if you are unable to do these, or the problems from 14.5 below, by Tuesday because of time spent at our party on Monday night. There will be no quiz on Wednesday, but you should still try not to fall behind in the homework. (Otherwise you won't know what questions to ask on Wednesday or be able to follow my answers to questions that your classmates ask.) |
| T 4/24/01 | 14.5/ 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). |
| W 4/25/01 | 14.7/ 3,5,9,15,16,19 |
| W 4/25/01 | 14.8/ 1,2,7,9,13. In #13, "Verify Stokes' Theorem" means "Compute both the relevant line and surface integrals and see that that you get the same answer." |
| W 4/25/01 | 14.9/ 1,3,8,13. In #1, "Verify the Divergence Theorem" means "Compute both the relevant volume and surface integrals and see that that you get the same answer." |
| F 4/27/01 | On Friday I'll hold a question-and-answer review session at 3:00 in our usual classroom for anyone who wants to come; attendance is completely optional. I'll hold my usual office hours this week. I'll also have an office hour or hours on Monday; I'll post them on this page when I decide the time(s). |
| Naughty or nice? Click here to see if you qualify for a quiz drop. | |
| Exam week | Exam week office hours: Monday 1:30-2:30; Tuesday 11:00-12:00. |
| T 5/1/01 | FINAL EXAM begins at 3:00 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. |