Description

Introduction to integral calculus of several variables, line and surface integrals. See here for a full outline of the class.

ENROLLMENT: See the math student services office in 6356 Math Sciences Building for all enrollment questions (PTE number, etc.).

General Information

• Instructor: Sebastien Roch (Office hours: M 2-2:50, W 11-11:50, F 9-9:50 in MS 6156). To communicate with me or the TAs, use Piazza (see below).
• Time and place: Lectures MWF 1-1:50 in ROLFE 1200.
• Required text:
  • [S] Multivariable Calculus (7th Ed.) by Stewart
• Exams:
  • Midterms: There will be two midterms. Both at the usual location ROLFE 1200 during lecture time. The first midterm will be Monday, January 30, 2012. The second midterm will be Monday, February 27, 2012. No calculators or texts will be allowed in the midterms. There are no makeup exams (but see grading policy below). Bring student ID.
  • Final exam: The final exam is on Friday, March 23, 2012 from 8:00am - 11:00am. (Location to be announced.) No calculators or texts will be allowed in the final. Bring student ID.
• Grading:
  • Grading policy: The following is required to complete the course: Participation in the final exam and participation in at least one midterm. The total grade is the maximum of the following two schemes: 1) 10% for homework, 25% for each midterm, and 40% for the final; 2) 10% for homework, 30% for the best midterm, and 60% for the final. If you miss one midterm, the second scheme will automatically apply. In both schemes, the lowest homework score will be dropped.
  • Grading issues: If you believe a problem on an assignment or midterm has been graded incorrectly, you should submit your request for a regrade in writing within one week (and before the final exam). The final decision regarding all regrades will be made by the instructor. Please verify in a timely manner that your scores are correctly recorded on MyUCLA.
• Piazza: We will use Piazza, a free discussion board. You should sign up here with your UCLA email by looking up the class. On Piazza, you can:
  • Ask course-related questions
  • Collaborate to form a high-quality Wikipedia-style response
  • Have a traditional thread-style discussion
  • Customize how Piazza notifies you of new posts (e.g., in real time, in daily digests, etc.)
  • Posts can be anonymous if you wish.
  You are strongly encouraged to post any questions about course content or policies here, and to help answer your fellow students questions. There are things to be kept in mind while using Piazza. Here are the rules:
  • Do not post solutions to the assignments.
  • Be civilized; refrain from posting offensive, inappropriate, or irrelevant content. Remember that the whole class, including the professor and the TAs, are potentital readers to the discussion board. Use your common sense to determine what constitutes as acceptable content.
  • Posts should be in English.
  If you have questions for me or the TAs of a more personal nature, use a private post. I will also post course announcements there, so it is important to check it regularly.
• Student Math Center: The Student Math Center (SMC), located in MS 3974, will re-open on Wednesday, January 11, 2012. The hours of operation are: Monday through Thursday, 9:00am - 3:00pm. The SMC offers free, individual and group tutoring for all lower division math courses. This service is available on a walk-in basis; no appointment is necessary. Students may ask any of the TAs in attendance for assistance with math problems.

News

• [Jan 8]: First homework posted.
• [Jan 8]: Future announcements will be posted on Piazza.
• [Jan 18]: Second homework posted on Piazza.
• [Jan 25]: See Piazza for information on the midterm.

Lectures

• Lec 1 [Jan 9]: Double Integrals over Rectangles (Sec 15.1)
• Lec 2 [Jan 11]: Iterated Integrals (Sec 15.2)
• Lec 3 [Jan 13]: Double Integrals over General Regions (Sec 15.3)
• Lec 4 [Jan 18]: Polar Coordinates (Sec 10.3, 10.4)
• Lec 5 [Jan 20]: Double Integrals in Polar Coordinates (Sec 15.4)
• Lec 6 [Jan 23]: Applications of Double Integrals (Sec 15.5)
• Lec 7 [Jan 25]: Triple Integrals (Sec 15.7)
• Lec 8 [Jan 27]: Triple Integrals in Cylindrical Coordinates (Sec 15.8)
• Lec [Jan 30]: Midterm 1. (Details on Piazza.)
• Lec 9 [Feb 1]: Triple Integrals in Spherical Coordinates (Sec 15.9)
• Lec 10 [Feb 3]: Change of Variables in Multiple Integrals (Sec 15.10)
• Lec 11 [Feb 6]: Change of Variables in Multiple Integrals, continued (Sec 15.10)
• Lec 12 [Feb 8]: Vector Fields (Sec 16.1)
• Lec 13 [Feb 10]: Line Integrals (Sec 16.2)
• Lec 14 [Feb 13]: The Fundamental Theorem for Line Integrals (Sec 16.3)
• Lec 15 [Feb 15]: The Fundamental Theorem for Line Integrals (Sec 16.3)
• Lec 16 [Feb 17]: Green's Theorem (Sec 16.4)
• Lec [Feb 20]: NO LECTURE.
• Lec 18 [Feb 22]: Curl and Divergence (Sec 16.5)
• Lec 19 [Feb 24]: Curl and Divergence (Sec 16.5); Parametric Surfaces (Sec 15.6)
• Lec [Feb 27]: Midterm 2. (Details on Piazza.)
• Lec 20 [Feb 29]: Parametric Surfaces and Their Areas (Sec 16.6)
• Lec 21 [Mar 2]: Surface Integrals (Sec 16.7);

Homework Assignments

All assignments are from Stewart. Late homework will not be accepted. Calculators and written materials: You may use whatever resources you wish to do the homework, including calculators, textbooks, friends, TAs, etc., although by the end of the course you should be able to do all the homework questions without any assistance. A sample of questions will be graded each week.

• Hwk 1 [Due at the beginning of class Jan 18 (WEDNESDAY)]: Section 15.1, exercises 2, 4, 6, 12, 14; Section 15.2, exercises 2, 8, 12, 16, 22, 24, 26, 28.
• All future homework assignments will be posted on Piazza only.