Math 32B, Lecture 4: Calculus of Several Variables
Winter 2016
| Instructor: | Kristen Hendricks |
| Office: | 6617D Math Sciences Building |
| Office Hours: | M 11-12, W 2-3 |
| E-Mail: | hendricks at math .ucla .edu |
Location and Time
MWF 9-9:50, MS 4000A. There are six sections, meeting Tuesdays and Thursdays, see times and places online.
Content
This is a standard course in integration in multiple variables. We will cover integration over regions in the plane and in three-space, both in Cartesian and in polar/spherical coordinates. We will then study vector fields and integration over curves and surfaces. The last third of the course will be devoted to Green's Theorem, Stokes' Theorem, and the Divergence Theorem, each of which relates an integral over some domain to another integral over the boundary of that domain.
Textbook
J. Rogawski & C. Adams Multivariable Calculus. Third edition.
Prerequisites
Math 31B and Math 32A, or equivalent.
Homework and Quizzes
Homework will be assigned weekly and not collected. Instead, there will be a quiz in section every week (excluding the first) consisting of two problems from the homework assigned the previous week. The first quiz will be on 1/12 for the Tuesday sections and 1/14 for the Thursday sections. You must take the quizzes with your assigned section. No make-up quizzes will be given, but to allow for one illness or other legitimate conflict, your lowest quiz score will be dropped in computing your grade.
This is probably the most demanding lower-division mathematics class offered by UCLA. Do not allow yourself to fall behind on the homework.
Exams
There will be two in-class midterms on Monday, January 25 and Monday, February 22. There will also be a final exam Wednesday, March 16, 3 p.m. to 6 p.m. Alternate testing arrangements will be made only in the following circumstances: religious holidays, participation in university athletics, and serious and documented illness or emergency on the day of the test. Please note that, as a matter of department policy, an undocumented absence from the final exam will automatically result in a failing grade for the course.
This course is 26 lectures long, excluding exams. The first midterm will cover the material of approximately Lectures 1-7, the second midterm will cover the material of approximately Lectures 8-17. The final exam will be roughly sixty percent from the material of Lectures 18-26 and forty percent from the preceding lectures. More specific guidance will be given as we approach the exams.
Exams will take place in multiple rooms. The class will be divided up alphabetically by surname according to the registrar listing and told (either in lecture or by e-mail) in which room to take the test. Please pay close attention to these announcements; exams taken in the wrong room will not be graded.
Regrades
Requests for regrades of quizzes and midterms will be considered up to fourteen days after the graded work is returned, and should be turned in to me in writing (preferably typed) and signed. Please make sure to look over your graded work carefully before the time limit passes.
Grading
Grades will be recorded throughout the quarter using the myUCLA gradebook facility. Your grade will be computed as follows:
(10% Quiz grades) + (25% Midterm 1) + (25% Midterm 2) + (40% Final Exam)Letter grades will not be assigned until the end of the quarter, at which point your composite numerical score will be converted into a letter grade based on class ranking, using the department guidelines for this course. Approximately 30% of the class will receive grades in the A/A- range, and approximately 35-40% of the class will receive grades in the B+/B/B- range (unless something very surprising happens).
Enrollment
On the Friday of Week 2, students on the waitlist will be enrolled in the course. All other enrollment requests should be addressed to the Mathematics Department Undergraduate Advising Office. You can find them in MS 6356, or contact them at ugrad@math.ucla.edu . They will try to help if you are having scheduling trouble.
Questions and Getting Help
For mathematical questions, you are encouraged to come to office hours with me or your TA. You may also find the Student Math Center in MS 3974 helpful. Their hours are here.
Because this is a very large course, if you have a logistical question, the best thing to do is to check the syllabus/website, then e-mail or talk to your TA, and then get in contact with me if you still have questions. This helps ensure that at such time as you have an issue that really needs to be dealt with by me, I will have the attention and time to handle it for you.Schedule
We will follow the sequence of topics in the official course description here.
Specific reading for each lecture will be posted with the homework.Homeworks
Exams