Math 32A: Multivariable calculus

Spring 2018

Instructor: Sucharit Sarkar.
Class: MWF 12-12:50pm FRANZ 1260.
Office hours: M 1-4pm MS 6909. Exceptions: 4/20 9-11:50am instead of 4/23; 5/11 9-11:50am instead of 5/14; 5/25 9-11:50am instead of 5/28; 6/11 10am-1pm instead of usual time.

Contact: If you have any questions that is not addressed below, you should ask during or after class, or during office hours, or during the review sessions, or during the TA office hours. Email me only if none of these options are available, and include 32A in your email subject.

Student Math Center: Monday to Thursday 10am-3pm MS 3974 (starting on 4/4/2018). Free individual or group tutoring on all lower-division Math courses on a walk-in basis.
TA information:
Section Review session TA Office hours
3A Tu 12-12:50pm MS 5117 Kyung Ha W 5-6pm, Th 4-5pm, MS 3921
3B Th 12-12:50pm WGYOUNG CS24 Kyung Ha W 5-6pm, Th 4-5pm, MS 3921
3C Tu 12-12:50pm PAB 1425 Max Zhou W 2-3pm, F 1-2pm, MS 3955
3D Th 12-12:50pm PUB AFF 2238 Max Zhou W 2-3pm, F 1-2pm, MS 3955
Reader: Fanfei Li

Textbook: Rogawski and Adams, Multivariable Calculus (3rd edition). (ISBN: combo hardcover 1-4641-2526-0, loose leaf 1-4641-9380-0, multivariable hardcover 1-4641-8689-8). There is a different book called Early Transcendentals by the same authors. Make sure you match the ISBN.
Useful links: Department page, University page, MyUCLA.

Topics: The course 32A treats topics related to differential calculus in several variables, including curves in the plane, curves and surfaces in space, various coordinate systems, partial differentiation, tangent planes to surfaces, and directional derivatives. The course culminates with the solution of optimization problems by the method of Lagrange multipliers. The course will follow the outline from the Department page. You are strongly encouraged to read the material to be covered in class before the class; this will help you immensely.
Syllabus: Chapters 12.1,13.1-6,14.1-5,15 from the textbook.

Homework and quizzes: Weekly homeworks will be assigned but not graded. Instead two of the problems from the homework will assigned for weekly 10-minute quizzes at the beginning of the TA discussion section. (There is no quiz corresponding to the last homework; nevertheless, you should practice them for the finals.) You must take the quiz with your section (your TA does not have access to the gradebook of the other sections, so if you take your quiz in the wrong section, your quiz will not be graded). There will not be any make-up quiz; however, your lowest quiz score will be dropped when computing your grade. Bring a photo ID for each quiz.
HW Problems Quiz date
1 13.1:34,37-40,45,47,60,63,65
13.2:4,10,31,37,46,47,53,55,56,58
13.3:68,73-78,81,84-86
4/10 and 4/12
2 13.4:22,33,36,44,45,48,54,58-60
13.5:20,22,25,40,52,58,63,64,68-70
12.1:6,13,14,19-22,27,28,52,60
4/17 and 4/19
3 14.1:12,13,21,25,26,31-33,37,41,44
14.2:14,21,22,25,28,33,36,49,56,63
14.3:6,9,14,18,21,28
14.4:6,8,15,19,39
4/24 and 4/26
4 14.5:17,19-23,25,26,30,31,33,38,39,48
15.1:7,9,10,12,17-24,52-55
5/1 and 5/3
5 13.6:13-18,21-29,34,35,38
15.2:6,12,15,18-22
5/8 and 5/10
6 15.3:7-12,47-50,55,63,68,70,72,78
15.4:3,4,6,7,8,10-12
5/15 and 5/17
7 15.4:13-16,20-29,35-37
15.5:3,4,7,8,14-19
5/22 and 5/24
8 15.5:26-29,31,33-35,37,43-46
15.6:3-6,11,12,17-20,25-31
5/29 and 5/31
9 15.7:7-16,22,23,28,35-47 6/5 and 6/7
10 15.8:4-15,19-22,25-28,33,35

Exams: There are two midterms and a single final exam according to the following schedule. The quizzes and exams are non-collaborative closed-book exams; you are not allowed to use books, notes, or any electronic devices (such as calculators, phones, computers). Some old exams can be found here. Note: the actual exam problems need not be similar to the problems from past exams since they might have used a different textbook. Rather, the exam problems will be very similar to the homework problems, problems from the textbook, and problems worked out in class. Bring a photo ID for each exam.
Exam Date Location Topics
Midterm 1 4/23 12-12:50pm FRANZ 1260 12.1,13.1-5,14.1-3
Midterm 2 5/14 12-12:50pm FRANZ 1260 13.6,14.3-5,15.1-3
Final 6/11 3-6pm MS 4000A 12.1,13.1-6,14.1-5,15
There will be no make-up exams. Attending the final exam is mandatory. In particular, note that university policy requires that a student who misses the finals be automatically given F, unless the absence is due to extreme and documented circumstances, in which case, if the performance in the course is otherwise satisfactory, the grade might be I.

Grading: Numerical grades will be recorded in the MyUCLA gradebook. A composite numerical grade will be computed by the following formula.
Max(10% Quiz + 20% Midterm 1 + 20% Midterm 2 + 50% Final, 10% Quiz + 30% Best Midterm + 60% Final)
A curve compatible with the department guidelines and historic norms will be applied to the composite numerical grades to obtain a letter grade. If you believe a problem on a quiz or an exam has been graded incorrectly, or that your score was not correctly recorded in the MyUCLA gradebook, you must bring this to the attention of the instructor within 10 calendar days of the date of the quiz or the exam, and before the end of the quarter (6/15/2018). Grading complaints not initiated within this period of time will not be considered. Please verify in a timely manner that your scores are correctly recorded on MyUCLA.