**Course: MATH 32A, Calculus of Several Variables, Lecture 3, Fall 2015**

**Prerequisite:** MATH 31A, with a grade of C- or
better.

**Course Content:** Differential calculus of several variables, curves and surfaces, optimization.

**Syllabus:** here.
*Last update:* 15 December 2015

**Instructor:** Steven Heilman, heilman(@-symbol)ucla.edu

**Office Hours:** Mondays, 9AM-12PM, MS 5634

**Lecture Meeting Time/Location:** Monday, Wednesday and Friday,
1PM-150PM, Franz 1178

**TA:** Cutler, J., joshuacutler(@-symbol)math.ucla.edu, Boozer, A.
D., davidboozer@ucla.edu, Flapan, L. B., lflapan@math.ucla.edu

**TA Office Hours:** Cutler, J. 1130AM-1230PM, Tuesdays and
Thursdays, MS 3921, Boozer, A. D., Thursdays 2PM-3PM, MS 2344, Flapan,
L. B., Thursdays 2PM-3PM, MS 6160

**Discussion Session Meeting
Time/Location:**

- 3A, Tuesday, 1PM-150PM, Bunche 3157, Cutler, J. https://www.math.ucla.edu/people/grad/joshuacutler
- 3B, Thursday, 1PM-150PM, Royce 150, Cutler, J. https://www.math.ucla.edu/people/grad/joshuacutler
- 3C, Tuesday, 1PM-150PM, Bunche 3178, Boozer, A. D. https://www.math.ucla.edu/people/grad/davidboozer
- 3D, Thursday, 1PM-150PM, WGYoung 2200, Boozer, A. D. https://www.math.ucla.edu/people/grad/davidboozer
- 3E, Tuesday, 1PM-150PM, WGYoung 2200, Flapan, L. B. http://www.math.ucla.edu/~lflapan/teaching.html
- 3F, Thursday, 1PM-150PM, PAB 2748, Flapan, L. B. http://www.math.ucla.edu/~lflapan/teaching.html

- My email address for this course is heilman(@-symbol)ucla.edu
- It is your responsibility to make sure you are receiving emails from heilman(@-symbol)ucla.edu , and they are not being sent to your spam folder.
- Do NOT email me with questions that can be answered from the syllabus.
- Homework questions sent to me by email will be answered altogether in the form of a "digest." I will get to every question, but I cannot reply to every email. This digest will be sent out typically two days before the homework is due.

- Late homework is not accepted.
- If you still want to turn in late homework, then the number of minutes it is late will be deducted from the score. (The estimate of the number of minutes is not guaranteed to be accurate.)
- You may not use the internet to try to find the answers to homework problems.
- The lowest two homework scores will be dropped. This policy is meant to account for illnesses, emergencies, etc.
- Do not submit homework via email.
- There will be 9 homework assignments, assigned weekly on Friday and turned
in at the
**beginning**of class on the following Friday. In the second and eighth week of the quarter, the homework will not be turned in, and instead there will be a quiz in the discussion section. - A random subset of the homework problems will be graded each week. However, it is strongly recommended that you try to complete the entire homework assignment.
- Collaboration on homeworks is allowed and encouraged.
- All homework assignments must be
**written by you**, i.e. you cannot copy someone else's solution verbatim. - Label your homework with the lecture number and the discussion section number.
- Homework solutions will be posted on Saturday after the homework is turned in.
- Reading the syllabus counts as one homework grade. In order to receive credit for reading the syllabus, you must read the syllabus by October 2, noon, PST.

- There will be two quizzes, administered in the second and sixth weeks of class. In the second and sixth weeks of class, the homework will not be turned in, and instead, the quiz will count for the homework grade. The problems from the quiz will closely resemble or be identical to problems from the homework from that particular week.
- Quizzes will be administered in your discussion section, which is on either Tuesday or Thursday. Each quiz should last about 15 minutes.

- The final grade is weighted as the larger of the following two schemes. Scheme 1: homework (15%), the first midterm (20%), the second midterm (25%), and the final (40%). Scheme 2: homework (15%), largest midterm grade (35%), final (50%). The grade for the semester will be curved. However, anyone who exceeds my expectations in the class by showing A-level performance on the exams and homeworks will receive an A for the class.
- We will use the MyUCLA gradebook.
- If you cannot attend one of the exams, you must notify me within the first two weeks of the start of the quarter. Later requests for rescheduling will most likely be denied.
- You must attend the final exam to pass the course.

** Tentative Schedule**: (This schedule may change slightly during the
course.)

Week | Monday | Tuesday | Wednesday | Thursday | Friday |

0 | Sep 21 | Sep 23 | Sep 25: 13.1, Vectors in the Plane | ||

1 | Sep 28: 13.2, Vectors in Three Dimensions | Sep 30: 13.3, Dot Product | Oct 2: Homework 1 due. Read the Syllabus. 13.4, Cross Product | ||

2 | Oct 5: 12.1, Parametric Curves | Quiz in section | Oct 7: 13.5, Planes in 3-Space | Quiz in section | Oct 9: Homework 2 (ungraded). 13.6, Quadric Surfaces |

3 | Oct 12: 14.1, Vector-Valued Functions | Oct 14: 14.2, Calculus of Vector-Valued Functions | Oct 16: Homework 3 due. 14.3,14.4: Arc Length, Speed, Curvature | ||

4 | Oct 19: Midterm #1 | Oct 21: 14.4,14.5, Motion in 3-Space, Planetary Motion | Oct 23: Homework 4 due. 15.1, Functions of Two or More Variables | ||

5 | Oct 26: 15.2, Limits and Continuity | Oct 28: 15.2, Limits and Continuity | Oct 30: Homework 5 due. 15.3, Partial Derivatives | ||

6 | Nov 2: 15.3, Partial Derivatives | Quiz in Section | Nov 4: 15.4, Differentiability and Tangent Planes | Quiz in Section | Nov 6: Homework 6 (ungraded), 15.4, Differentiability and Tangent Planes |

7 | Nov 9: 15.5, Gradient and Directional Derivatives | Nov 11: no class | Nov 13: Homework 7 due, 15.5, Gradient and Directional Derivatives | ||

8 | Nov 16: Midterm #2 | Nov 18: 15.6, Chain Rule | Nov 20: Homework 8 due. 15.6, Chain Rule | ||

9 | Nov 23: 15.7, Optimization | Nov 25: 15.7, Optimization | Nov 27: No class | ||

10 | Nov 30: 15.8, Lagrange Multipliers | Dec 2: 15.8, Lagrange Multipliers | Dec 4: Homework 9 due. Review of course |

**Advice on succeeding in a math class:**

- Review the relevant course material
**before**you come to lecture. Consider reviewing course material a week or two before the semester starts. - When reading mathematics, use a pencil and paper to sketch the calculations that are performed by the author.
- Come to class with questions, so you can get more out of the
lecture. Also, finish your homework at
least
**two days**before it is due, to alleviate deadline stress. - Write a rough draft and a separate final draft for your homework. This procedure will help you catch mistakes.
- If you are having difficulty with the material or a particular homework problem, review Polya's Problem Solving Strategies, and come to office hours.

- (Solutions removed)