Math 210:
The Mystical Voyage Into the Forbidden Third Dimension

Links:    Recent Announcements     Homework     Online Gradesheet      Error Message    
Instructor Russell Prime
Email prime AT math DOT uconn DOT edu
Office hours MSB 401-B; T 12:30 - 2:30, W 11-12.
Course info
Lecture  MSB 219 T,Th  11 - 12:15;  MSB 307 F   10 - 11:50
 
Text Multivariable Calculus, 6th ed., by James Stewart.

Recent Announcements  

5/2: As mentioned in class today, you will be allowed to bring a 3x5 index card with any information you want on there, whether it's I should think the last three items will be more useful to you, as you should already be very familiar with the first two, but that's up to you. Of course you're also welcome to put things on your card that are not on the list at all--it's up to you. You should also recall that I asked you in class to read page 1059 in your text and be able to explain very well on your exam how you can extend Green's Theorem to regions with holes, and also to look very carefully at exercise #33 (Green's First Identity) in section 16.5.

Please do not forget to study the first 4 chapters. Although about 1/3 of the test will be on chapter 16, the other two thirds will come from 12-15, mostly 14 and 15 (although skills from 12,13 are used throughout). My office hours for next week will be Tuesday and Wednesday 2-4. If you want to come by, do, and if you want to come by but can't make it, you can e-mail me better times for you and I'll see if that works for me.

4/30: The final exam is nearing (it's one week away, Thursday, May 8th, at 3:30 p.m. in MSB 219, according to the official final exam schedule), so you should be studying already. Begin reviewing the basics from the first few chapters even if you think you remember them. (You may or may not be surprised by the speed at which certain skills like finding the equation of a plane or dotting two vectors are purged from your memory.) In addition to that you might want to try out this review sheet penned by Dr. Adam Bowers some time ago. He has also graciously (albeit without being aware) supplied you with answers. The review sheet is in no way a substitute for studying and is in no way guaranteed to accurately reflect the contents of the actual final.

4/25: Our class is quickly coming to an end, so I figure to give you a quick reminder of what's to come. Our last week of class is next week. In it we will do evaluations, talk some more about a generalization of Green's Theorem (Stokes's Theorem) and its higher dimensional analogue (the Divergence Theorem). We will have a quiz next Friday on 16.4 and 16.5. Our final exam is the following week.

4/6: Let's reannounce an announcement announced in class a couple of times already: The third exam, originally scheduled for this Friday, 4/11, later potentially postponed to the following Friday, 4/18, is definitely still on track for this Friday, 4/11. So that's this Friday, April 11th, 2008, date of the third exam in this class. The exam will cover sections 15.1-8, excepting section 15.5 (which is good to read to see some applications of multiple integrals, but contains no new techniques).

3/21: You'll notice that schedule has once again been toyed with. The homework from this week covers sections 15.1,2,3. This will be the quizzable material for next week. We may still make the original third exam date of 4/11--I'll be able to tell by the end of next week.

3/10: On account of villainy, our schedule has been set back by nearly a full week. This has forced the homeworks to shift a bit (from assignment 7 onward)--the current projected schedule is indicated by the homework assignment chart below. If I were a betting man, I'd bet on the homeworks changing again in the future. The third exam, originally scheduled for 4/11, will most likely be moved to 4/18. When this becomes more certain, we will chisel it into a stone tablet on top of Mount Sinai.

3/6: We've talked about this in class a couple of times in the past two weeks, and it was mentioned down in the homework comments, so this is just another reminder that our exam is still scheduled for March 7th, which is tomorrow. The only change in plans as far as the exam is concerned is that one less section will be covered than intended: 14.7 will not be on the test, while 14.1-14.6 will. End communication.

2/28: Snow has thrown us off schedule, so please notice that homeworks 6 and 7 have been shifted accordingly.

2/22: As you've no doubt learned, classes have been cancelled today due to inclement weather; Snow, that is; White gold, Michigan Tea. We'll make up Quiz 3 first thing Tuedsday.

2/18: You have unlocked feature: Online Gradesheet, also linked at the top of the page, which allows you to keep track of your grades (and my gradebook) online. Use this to check class statistics, see how far from average your score is, find out scores before you get papers back, and check to make sure I've recorded the correct score for each quiz and test. Your scores are listed alphabetically by secret codename, so if you do not have a unique set of scores so far and can't figure out which codename you have been assigned (or if you don't feel like figuring it out), e-mail me from your huskymail (so I can be sure that it's really you, and not some creep who has a fetish for looking at your grades) and ask me what it is. Codenames have been assigned randomly, so nothing is meant by the name you were given. If a name greatly offends you, it can be changed.

1/28: The Quiz Solution section is now available (below). So far, all you have opened is the solution to Quiz 0. Quiz 1 (coming this Friday, 2/1) will cover the material in Problem Set 1 (in the homework section).

1/22: Yes, this is the class webpage.

Quiz Solutions and/or Handouts (Achievement Unlocked!)

Brief course description: We're going to take the skills you've acquired from Maths 115 and 116 and build on them, extending calculus concerning functions of one variable to calculus on functions of several variables. We get into some crazy stuff, graph crazy surfaces, but it is all very important and very useful stuff, both in the fantasy land of math and the practical land of physics and engineering. If you appreciate what single variable calculus did for the world, you will love the picture of calculus we'll have by the end of the semester.

We'll start by looking at vectors in 3-dimensional coordinate systems, study vector functions in 3-space (chapters 12,13 in Stewart's seminal text), then move onto derivatives and integrals in several variables (chapters 14 and 15). We'll top it all off with a bit of vector calculus (chapter 16), rounding out our semester with some very interesting stuff. The crowning achievement of this course is a gem known as Green's Theorem. I'd be cheating you badly if I didn't get us at least to that point, but we will attempt to get even further to see some beautiful higher dimensional analogues.

Prerequisites: Math 116

Homework: All homework assignments are your responsibility. Homework assignments will be posted on the bottom of this web page. You are expected to check this frequently for updates and keep up with all assignments posted. Homework will not be collected and hence you will not be graded on your homework. Instead, we'll have quizzes detailed as follows.

Quizzes: These will cover the homework we've done in the previous week, so completing homework assignments should lead to good quiz grades. Expect a quiz every non-exam Friday, including the first one (this will be a review quiz for single-variable differentiation and integration)!

Exams: We'll have three one-hour in-class exams and a final, all of which will be graded with partial credit and will not be curved. The idea is that Exam 1 should chapters 12 and 13, Exam 2 should cover chapter 14, Exam 3 should cover chapter 15, and then the final exam will cover all previous tests in addition to material from chapter 16. (Perhaps the final will be one-third based on Ch. 16.) Dates for these exams will roughly fall in the fourth week (2/15), seventh week (3/7), and eleventh week of class (4/11). Official exam dates (if not the dates listed here) will be announced at least one week prior to the official date via the announcements. The final will be as scheduled by the university (unofficially 5/8).

Attendance Policy: Coming to class is your responsibility, so when you miss something, take care of it yourself. That is, get notes from a classmate and read the missed sections on your own (which you should be doing anyway). If you are absent on a quiz day, don't bother asking to make it up--the answer is "no". (Unless you have a prearranged, school-sponsored absence for something like a swim meet or a hockey game that you can't avoid.) We drop two quizzes (we'll have 11 total, barring any unforeseen events), so illness is accounted for.

Grading: The basic breakdown is this. We'll do 15% for quizzes, 20% for each of the three in-class tests, and 25% for the final. Notice the list ends there and does not contain points for trying hard, or points for I-need-to-get-into-some-program, or anything else. There are no extra credit assignments, and there isn't a class curve (except in extreme circumstances, like there being gross ambiguities or errors in an exam, which will be dealt with on an exam-by-exam basis.) You will get what you earn in this course, and nothing else.

Academic Integrity: See your student handbook for the exact statement; you know what it means. Cheating will be not be tolerated and will be met with extreme punishment. In our class, this usually means looking at a neighbors paper or attempting to use a "cheat sheet" on a test. (It is probable that a sheet of notes will be allowed on the final exam.) Calculators will not be allowed on any quiz or test to avoid some of these issues.

Homework Assignments (from the text)

The following homework assignments are meant to highlight concepts from both the lectures and the readings from each section, so I suggest you read the section before attempting the problem sets. The due date is the date when should have the assignment completed; after that the material is fair game for quizzing. You can click the "Comment" button below the assignment number to leave a question or comment for that homework assignment. You can choose to leave your name or remain anonymous, but it is often useful to everyone in the class to have questions about the homework asked in a public forum like this one. Usually where one person has a question, many people have that same question. (I'll be moderating, so please do not insult anyone or use any inappropriate language.)

Due Date Reading Problem Set
1. Feb. 1
Sections 12.1-12.3. In 12.1 (p. 769), do 3,7,10abd,11,15,19a.
In 12.2 (p.777), do 4,5,7,19,25,26.
In 12.3 (p.784), do 1,5,6,9,11,13,17,23ac,26,35,37,41.
2. Feb. 8
Sections 12.4-12.6. In 12.4 (p.792), do 3,7,9,11,13,15,29.
In 12.5 (p.802), do 3,4,5,7,9,13,27,29,31,46.
In 12.6 (p.810), do 21-28,41-43.
3. Feb. 15
Sections 13.1-13.3. In 13.1 (p.822), do 5,7,8,11,15,19-24.
In 13.2 (p.828), do 3,5,9,11,13,17,19,23,31,33,35.
In 13.3 (p.936), do 1,3,5,9,13a,15a,17,19,39,41.
4. Feb. 22
Sections 14.1,14.2. In 14.1 (p.865), do 7,9,11,13,30,37,43,55-58.
In 14.2 (p.877), do 7,8,23,27,28,35.
5. Feb. 29
Sections 14.3,14.4. In 14.3 (p.888), do 13,15,17,21,24,27,35,47,49,67,87.
In 14.4 (p.899), do 1,3,5,11,13,17.
6. Mar. 7
Sections 14.5,14.6. In 14.5 (p.907), do 1,3,5,7,11,13,15,17,21,27,31.
In 14.6 (p.920), do 5,7,11,13,19,21,29,49.
7. Mar. 21
Sections 14.7. In 14.7 (p.930), do 1,5,9,13,17,27,29,39.
8. Mar. 28
Sections 15.1-15.3. In 15.1 (p.958), do 1,3,5.
In 15.2 (p.964), do 1-19 odd,25.
In 15.3 (p.972), do 1-21 odd,37,43.
9. Apr. 4
15.4,15.6. In 15.4 (p.978), do 1-7,9,11,13,15,17,21,23,25.
In 15.6 (p.998), do 2,3,5,6,7,8,9,11,13,17,19,21,23a,29.
10. Apr. 11
Sections 15.7,15.8. In 15.7 (p.1004), do 1-11,15,17,19,21,27.
In 15.8 (p.1010), do 1-11,13,14,15,17,19,20,21,23,25,27,39.
11. Apr. 18
Sections 16.1. In 16.1 (p.1032), do 1,3,5,9,11-18,21,25,27.
12. Apr. 25
Section 16.2,3. In 16.2 (p.1043), do 1-15 odd, 18 (think about the angles),19,21.
In 16.3 (p.1053), do 3-9 odd, 13-19 odd, 29-32.
13. May 2
Sections 16.4,16.5. In 16.4 (p.1060), do 1,3,7,9,11,15,21 (harder...look at p.1058).
In 16.5 (p.1068), do 1,3,5,7,12,13,15,17,19,21 (check section for definition of irrotational),23,25,28, and 33 (Green's first identity).
14. May 8
Sections 12.1-16.7. Study!!! Here is a brief practice test, which is not meant to replace studying even in the slightest.

Credit: I respectfully stole the code for everything on this page from Keith Conrad who respectfully stole the the code for much of everything on his page from Glenn Tesler. Thanks for not suing!
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