# Noah White

University of Califonia,
Los Angeles

# Math 32B: Calculus of Several Variables

This is the course website for Math 32B: Calculus of Several Variables running in Winter 2017. All information about homework, quizes and exams will be posted here.

The syllabus contains information on the official policies for collaboration on homework, late homework, grading and changing grades.

We will be using Piazza for this class. See below for more information.

# Instructor, TAs and office hours

 Instructor: Noah White (noah@math.ucla.edu) Office hours: MS 6304, 10:30am-12pm Wednesday, 9:30-11am Thursday* TA: Ben Bellis (bbellis@math.ucla.edu) Office hours: MS 6161, 3-4pm Thursday Robbie Housden (rhousden@math.ucla.edu) MS 3915B, 1-2pm Tuesday Gyu Eun Lee (gyueun.lee@math.ucla.edu) MS 3949, 1-2pm Tuesday

*I am teaching two courses this quarter. To accommodate this I will be prioritising Math 32B questions in my Friday office hours (and Math 3B on Wednesdays). Please check back here as office hours and locations may change.

# Communication

Due to the fact that this is such a large class I would appreciate your help managing communication for the class.

Mathematical questions should be asked on Piazza (see below). In addition you should make use of my, and the TA’s, office hours. Administrative questions should in the first instance be directed to your TA. If your TA cannot resolve your query then you should contact me.

If you need to email me, the subject line must include the string math32b-w17. If not, then there is a good chance your email will slip through the cracks and remain unanswered.

# Textbook

J. Rogawski, Multivariable Calculus, 3rd Ed., W.H. Freeman & CO

Owning a copy of the textbook will be very helpful and is recommended however you might not find it necessary. I will post links to other sources here as time goes on. Feel free to buy an old or used copy of the textbook, it wont be necessary to own the third edition.

# Problem sets, homework and quizzes

There will be a problem set assigned every week. Most of these will not be collected however it is strongly recommended that you complete it.

Every second week (as indicated in the class schedule below) a small number questions from the problem set will be assigned as homework and collected and graded.

In weeks where no homework is collected a short quiz will be conducted in the discussion sessions. Questions on the quiz will be drawn from the problem set (or will be very similar to one of these questions). The lowest 2 scores out of all homeworks and quizzes will be dropped. The homework and quizzes will count for a total of 10% of your grade.

# Lecture notes

Here I will indicate which sections of the textbook will be covered in each lecture and the relevant problems in each problem set. It is recommended that you read the textbook and think about some of the problems before the lecture.

You will find links to the lecture notes and slides as they become available. They represent more or less what we covered in lectures but not exactly, depending on how many questions I got and if we ran out of time.

• Lecture 1: Read section 16.1 up to “Example 3”. Questions 8-11 in PS1.
• Lecture 2: Read rest of section 16.1. Questions 12-14 in PS1.
• Lecture 3: Read section 16.2. Questions 1-6 in PS2.
• Lecture 4: Read 16.2 from “Region between two graphs” onwards plus 16.3 up to Example 4.
• Lecture 5: Read end of section 16.3. Questions 1-6 in PS3.
• Lecture 6: Read 12.3 and up to example 2 in 16.4. Questions 7-14 in PS3.
• Lecture 7: Read section 16.6. Questions 15-17.
• Lecture 8: Review.
• Lecture 9: Read section 16.6.
• Lecture 10: Read end of section 16.4 and 16.5 (minus probability).
• Lecture 11: Read 17.1. Questions
• Lecture 12: Read 17.1 (notes part of lecture 12).
• Lecture 13: Read rest of 17.1 and 17.2 up to Example 4.
• Lecture 14: Read rest of 17.2.
• Lecture 16: Read 17.4 up to example 9.
• Lecture 17: Read rest of 17.4.
• Lecture 18: Review
• Lecture 20: Read example 4 onwards 17.5, and up to example 2 in 18.1
• Lecture 21: Read rest of 18.1
• Lecture 22: Read 18.2 up to example 2
• Lecture 23: Read rest of 18.2
• Lecture 24: Read 18.3 up to example 2
• Lecture 25: Review
• Lecture 26: Review

# Exams

There will be two midterms and a final exam.

• Midterm 1: 12-12:50pm Monday, 30 January, 2017
• Midterm 2: 12-12:50pm Monday, 27 February, 2017
• Final Exam: 8am-11am Thursday, 23 March, 2017

Cheatsheets: For each exam, students may bring a cheat sheet. Each student must prepare their own handwritten cheat sheet. For the midterms, the cheat sheet may consist of one side of half a standard (A4 or letter) sheet of paper (i.e. A5 or letter folded in half lengthways). For the final, the cheat sheet may consist of one side of a standard sheet of paper. Cheatsheets that do not meet these requirements will be confiscated at the beginning of the exam.

Calculators: You may use a non-programmable, non-graphing calculator in exams. Calculators not meeting this specification will be confiscated.

Study: Here I will post some rough study guides and practice exams which might aid your study.

Your final grade will be calculated using the maximum of the following two grading schemes. Your letter grade will then be determined by your rank in the class. Unless something very out of the ordinary occurs I expect to give approximately 25-35% A’s and 55-65% A’s and B’s combined.

Option 1:

10% (8 best homework/quiz scores) +
40% (combined midterm scores) +
50% (final exam score)


Option 2:

10% (8 best homework/quiz scores) +
30% (best midterm score) +
60% (final exam score)


Effectively, this will mean that unless you score worse in the final than both midterms, your lowest midterm score will be dropped. This also means missing one midterm probably will not impact your grade in any serious way.

# Schedule

This is a tentative schedule. Apart from the dates of exams, it may change. Numbers refer to sections of the textbook.

Monday Tuesday Wednesday Thursday Friday
1. 1/91
16.1
1/10
Quiz 1
1/112
16.1
1/12
Quiz 1
1/133
16.2
2. MLK Day
(no class)
1/17
1/184
16.3
1/19
1/205
12.3 HW 1
3. 1/236
16.4
1/24
Quiz 2
1/257
16.5
1/26
Quiz 2
1/278
Review
4. 1/30
Midterm 1
1/31
2/19
16.6
2/2
2/310
16.6 HW 2
5. 2/6 11
17.1
2/7
Quiz 3
2/8 12
17.1
2/9
Quiz 3
2/1013
17.2
6. 2/1314
17.2
2/14
2/1515
17.3
2/16
2/1716
17.4 HW 3
7. Pres day
(no class)
2/21
Quiz 4
2/2217
17.4
2/23
Quiz 4
2/2418
Review
8. 2/27
Midterm 2
2/28
3/1 19
17.5
3/2
3/3 20
18.1 HW 4
9. 3/6 21
18.1
3/7
Quiz 5
3/8 22
18.2
3/9
Quiz 5
3/1023
18.2
10. 3/1324
18.3
3/14
Quiz 6
3/1525
18.3
3/16
Quiz 6
3/1726
Review

# Piazza

Piazza is a question and answer style forum which we will be using for this class. If you visit CCLE you will find a link which will allow you to register for a piazza account.

You can ask questions, either as yourself or anonymously. I highly encourage you to also try answering others’ questions. Teaching others is by far the most effective way to learn and solidify what you already know. The TAs and I will monitor the discussion and answer questions occasionally.

Obviously homework questions and solutions should not be posted on Piazza. Offences will be treated as academic dishonesty/cheating.