Mathematics 32B Spring 2016 information sheet
March 12, 2016
Instructor:
Email:
Website:
Chuntian Wang
[email protected]
https://www.math.ucla.edu/ugrad/courses/math/32B
Instructor’s website:
http://www.math.ucla.edu/~cwang/
We will use the MyUCLA grading program to post grades for homework and exams.
Instructor Office Hours: Tuesday 3:00-5:00 pm and Friday 2:30-3:30 pm in 7354 Math Sciences
Building
Lectures: Monday, Wednesday and Friday, 1-1:50 pm in 4000A Math Sciences Building
Teaching Assistants: Erid Auld ([email protected]),
Edward Chou ([email protected]).
Reader: Qianhui Zhang ([email protected])
TA Office Hours: TBA
Discussions: C: T, Th 1:00-1:50 pm, in PAB 2748, MS 6229, MS 5147, MS 5137.
Textbook: J. Rogawski, Multivariable Calculus, 3rd Ed., W.H. Freeman & CO.
Other references (not required): Vector Calculus, Jerrold E. Marsden, Anthony J. Tromba, 5th
Ed. W. H. Freeman and Company
Topics: topics related to integration in several variables, culminating in the theorems of Green,
Gauss and Stokes.
For more info and a rough schedule see
https://www.math.ucla.edu/ugrad/courses/math/32B
There also you can find course requirements and prerequisites.
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Student Math Center: located in MS 3974, will re-open on Wednesday, March 30, 2016. The
hours of operation are: Monday through Thursday, 10:00 a.m. to 3:00 p.m.
Homework: The homework is assigned weekly every Friday and collected on Friday, at the
beginning of the lecture, and will be returned in the discussion sessions (Tuesday and Thursday)
next week. The only exceptions are the first homework and the 4th homework, which will be
collected on Mondays, April 4 and April 25 respectively (see the tentative schedule).
There will be no make-up homework, but the lowest homework score will be dropped in the
computation of your final grade.
You may discuss homework problems with other students, the TA or me. In fact, the right kind of
discussion can be quite valuable. I do expect two things, though: (i) you should try seriously to do
the exercise yourself before discussing it with anyone, and (ii) you should write up the solution
yourself after understanding it thoroughly, without following someone else's written version.
Please put the following information in the upper right hand corner of the first page:
•
Which discussion Section are you in
•
First Name.
•
Last Name.
•
Student ID #.
•
Math 32B, Homework #x.
Please label the chapter + section number as well as the problem number. All these are for your
benefits by means of facilitating the grading process.
Examinations: Examinations and quizzes will be closed book and no calculators can be used.
The first midterm will be Friday, April 22, during the regular class hour, in 4000A
The second midterm will be Monday, May 15, during the regular class hour, in4000A
The final exam will be Monday, June 6, 2016, 3:00pm-6:00pm, location will be announced as soon
as possible.
Exams requirements: You must bring a valid photo ID (like bruin card) to every exam, and
you must sign every exam you take. For grading complaints and regarding requests (for
homework and midterms) please contact the instructor within 1 week of receiving your graded
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exam.
Grade policy: Your scores will be computed as the maximum of the following two schemes:
Homework: 20%, the first midterm is 20%, the second midterm 20%, and the final 40%.
Please note again that the final must be taken to receive a passing grade.
Special accommodation: If you are registered OSD students please contact me as soon as soon
as possible.
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Disputing grades: If you have questions about the grading of your homework and exams, you may
request a re-grade within one week.
Course Schedule (subject to change)
Week
1
2
3
4
5
6
7
8
9
10
Finals
Date
Sections
Mon Mar 28
16.1
Wed Mar 30
16.1
16.2
Fri Apr 1
Mon Apr 4
16.3
Wed Apr 6
12.3
16.4
Fri Apr 8
Mon Apr 11
16.4
Wed Apr 13
16.5
16.6
Fri Apr 15
Mon Apr 18
16.6
Wed Apr 20
17.1
Fri Apr 22
Midterm 1
Mon Apr 25
17.1
Wed Apr 27
17.2
17.2
Fri Apr 29
Mon May 2
17.3
Wed May 4
17.3
17.4
Fri May 6
Mon May 9
17.4
Wed May 11 17.5
Fri May 12
18.1
Mon May 15 Midterm 2
Wed May 17 18.1
Fri May 19
18.1
Mon May 22 18.2
18.2
Wed May 24 18.2
Fri May 26
18.2
Mon May 30 Holiday
Wed Jun 1
18.3
Fri Jun 3
18.3
Mon Jun 6
Final Exam
Topics
Introduction; Review of integration; Double integrals over a rectangle
The double integral over a rectangle; Double integrals over more general regions
Double integrals over more general regions
Triple integrals (HW1due)
Review of polar coordinates
Integration in polar coordinates (HW2 due)
The change of variables theorem
The change of variables theorem; Cylindrical and spherical coordinates
The change of variables theorem; Cylindrical and spherical coordinates (HW3 due)
Applications of multiple integrals
Vector fields
Vector fields (HW4 due)
Path integrals (line integrals) of scalar elds; Path integrals (line integrals) of vector
Path integrals (line integrals) of scalar elds; Path integrals (line integrals) of vector
Conservative vector fields
Conservative vector fields
Parametrized surfaces (HW6 due)
Parametrized surfaces
Surface integrals
Surface integrals (HW7 due)
Green’s Theorem
Green's Theorem (HW8 due)
Stokes Theorem
Stokes Theomorem
Stokes Theorem (HW9 due)
The Divergence Theorem (HW10 will not be collected)
The Divergence Theorem
3:00pm-6:00pm
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