Math 32B, Lecture 2: Calculus of Several Variables
Spring 2018 Course Syllabus

SIGN UP TO PIAZZA here.

Topics we'll cover can be found here.

Some course material:
Lectures - week 1
Lectures - week 4
Lectures - week 5 (ish)
Lectures - week 6 (ish)
Lectures - week 7 (ish)
Lectures - week 9 (ish)
Lectures - week 10 - part 1
Lectures - week 10 - part 2
Diagram of everything
Local vector potential for (x,y,z)/rho^3
Midterm 1
Midterm 2
Final
INSTRUCTOR: Michael Andrews
Office: MS 6322
Office hours: Tuesday 9:45am-11am, Wednesday 2pm-3:30pm
email: mjandr@math.ucla.edu
TAs: Christopher Shriver
Office: MS 2961
Office hours: Thursday 12:45pm-1:45pm
email: cshriver@ucla.edu

Christian Carrick
Office: MS 6221
Office hours: Thursday 1pm-2pm
email: carrick@math.ucla.edu

Frederick Vu
Office: MS 2905
Office hours: Thursday 12pm-1pm
email: frederickvu@math.ucla.edu
LECTURES: MOORE 100; MWF 11am-11:50am
DISCUSSION SECTIONS:
Section Day Time Location TA
2A Tuesday 11-11:50am HAINES 220 Frederick Vu
2B Thursday 11-11:50am MS 6229 Frederick Vu
2C Tuesday 11-11:50am MS 5117 Christian Carrick
2D Thursday 11-11:50am MS 5117 Christian Carrick
2E Tuesday 11-11:50am DODD 167 Christopher Shriver
2F Thursday 11-11:50am DODD 167 Christopher Shriver
HOMEWORK: There will be ten homeworks. They will be collected at the start of class on Fridays, in piles organized by discussion.

Do not submit homework by e-mail or late. No late homework will be accepted. However, the lowest three homework scores will be dropped.

Write your homework with a pen or pencil, and paper. Put your name, discussion, and UID on it.

You must staple your work. If your homework is not stapled, you will receive half points. Sorry - it's too cumbersome for the grader to deal with otherwise.


Homework 1 - due Friday, week 1

  • Section 13.3:   46, 48

  • Section 13.4:   30, 36

  • Section 13.5:   18, 62

  • Section 15.5:   4, 32

  • Section 16.1:   20, 28 (explain your answer in terms of signed volume and the picture), 30, 32, 36, 40, 44, 46, 53c and d, 18


Homework 2 - due Friday, week 2

  • Section 16.2:   3, 4, 8, 12 (you'll need to write the domain as 4 triangles and use the bottom of page 855, symmetry makes the calculation quicker), 14, 23, 24, 32, 34, 37 (same comment as for 12), 48 (this is good prep for thinking about 3D stuff - make sure you can visualize it)

  • Section 16.3:   6, 9, 12, 13, 16, 22, 28, 30


Homework 3 - due Friday, week 3

  • Section 12.3:   1, 3, 7, 8, 10, 12 (and describe the curve), 15, 18, 22, 24, 27

  • Section 16.4:   2, 4, 5, 10, 14, 22, 24, 26, 45


Homework 4 - due Friday, week 4

Starred problems are for review only and will not be graded.
  • Section 16.4:   13*, 21*, 25*, 29, 31*, 35, 33*, 37, 39, 42, 43, 49, 52, 57

  • Section 16.5:   2*, 4, 6, 8, 10, 24, 26, 28, 49, 50, 52


Homework 5 - due Friday, week 5

Starred problems are for your practice only and will definitely not be graded.
  • Section 16.6:   2, 3, 4*, 14*, 16*, 18*, 20, 21*, 22, 24, 30, 32, 34*, 35*, 36, 38, 39, 41, 44*, 52


Homework 6 - due Friday, week 6

Starred problems are for your practice only and will definitely not be graded.
  • Section 17.2:   1*, 2*, 10, 12*, 13, 44, 45, 3*, 21*, 24, 28, 31*, 36, 37, 38, 52, 53, 55, 57, 60, 61, 58a, 63

  • Section 17.3:   2, 4

  • Section 17.1 (yes, 17.1):   50, 51, 53


Homework 7 - due Friday, week 7

Starred problems are for your practice only and will definitely not be graded.
  • Section 17.3:   (in 8,10,12,14,16,17,18, the domain is R^3) 8, 10*, 12, 14, 16*, 17*, 18, 21, 22, 24, 29, 30, these questions

  • Section 17.4:   1, 2, 7, 8, 9, 10


Homework 8 - due Friday, week 8

Starred problems are for your practice only and will definitely not be graded.
  • Section 16.6*:   (5-12)*, 19*, 23*, (26-28)*, 33*, 37*, 40*

  • Section 17.1*:   18*, 19*, 24*, 26*, 29*, 31*, 32*, (34 & 37)*, (39-45)*

  • Section 17.2*:   4*, 5*, 7*, 9*, 11*, 22*, 27*, 29*, 32*,

  • Section 17.3*:   1*, 3*, 7*, 9*, 11*, 13* (the domain is x\neq (k+ 1/2)pi), 15*, 19*, 23*, I love the vortex field***

  • Section 17.4:   3, 4, 13*, 14, 15*, 16, 22, 23, 26, 28, 31*, 35, 37, 41, 48*

  • Section 17.5:   1, 2, 6, 7, 12, 17, 18, 21, 22.


Homework 9 - due Friday, week 9

  • Section 18.3:   2, 4, 5, 6, 17, 18, 20, 23


Homework 10 - due Friday, week 10

Starred problems are for your practice only and will definitely not be graded.
  • Section 18.2:   1*, 2, 4, 6, 8, 10*, 11*, 12, 14, 16, 18, 23, 24, 25, 27, 28


Assignment 11

For your practice only and will not be turned in. Requested by at least one student.

I encourage you to form study groups in the class with friends / people you like. When faced with a homework question, you should make sure that you understand the relevant material from lectures first. Discussing the lectures with others in your study group and/or talking to the TAs and myself can help. You should try to solve a problem by yourself first. When you have enough thoughts about it, you can talk with others in your study group about it. Working in groups is generally beneficial to your understanding and helps you learn how to communicate clearly about mathematics. However, you must write up all solutions yourself and not copy off of others work. Moreover, since crediting your collaborators is an important element of academic ethics, you should write down with whom you worked at the top of each assignment. You must also cite any sources you use other than the lecture or the textbook (other textbooks, a blog about calculus, etc.).

The Student Math Center (SMC) is a useful resource. You should use it!

EXAMS: There will be in-class midterms on Wednesday, April 25 and Wednesday, May 23. There will be a final exam on Wednesday, June 13. There will not be any make-up exams. In particular, note that university policy requires that a student who has an undocumented absence from the final exam be given a failing grade in the course.

The exams are closed book and closed notes.

GRADES: Your course grade will be determined as follows. Your score is calculated by taking the BETTER of the following schemes:

10% Homework, 25% Midterm 1, 25% Midterm 2, 40% Final
10% Homework, 25% Best midterm, 65% Final

Grade boundaries are then determined according to what UCLA suggests for Math 32B.

Any issues about grading for homeworks or exams must be addressed within two weeks of the turn-in date. After that time no score changes will be allowed. Grades will be available online through the myUCLA website.

TEXTBOOK: Jon Rogawski and Colin Adams, Calculus: Multivariable. Third Edition. ISBN-13: 978-1-4641-8689-9, ISBN-10: 1-4641-8689-8.
PIAZZA:

Piazza is a good place to ask questions and share knowledge. The effort we put in to our responses will be highly correlated with the effort you put in to asking a question. So ask good questions, and you will get good answers! Highlight precisely what you DO and DON'T understand, and what you have tried already. Also, speaking math in person is easier, so use piazza appropriately, as a resource additional to discussions and office hours, not as a replacement.

Do not waste our time unless you enjoy sarcastic responses! Wasting our time can be achieved by asking questions that have been answered on the website, or answered previously on piazza, or by a class email.

As an example of the correlation mentioned above, if you simply demand "tell me how to do Q5," we will either ignore you, or post the quickest answer possible without a good explanation; if you ask a question that is identical to one asked within the last day or so, we are also likely to ignore it. If we have gone over a question in office hours a million times and it shows up on piazza, that begs the question, "why weren't you in office hours?" If the question is more careful and says, "I know this was said in office hours and still don't understand THIS step," we will be more than happy to help.

Happy Piazza-ing!

CALCULATORS: A scientific calculator might help you on homework problems, but calculators will NOT be permitted on exams, and so you should not be reliant on them.
CHEATING: Cheating is stupid and a serious offense. Students caught cheating will be reported. Do NOT cheat!!
Department of Mathematics