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Math 52

Multivariable Integral Calculus

Winter 2007

Syllabus and textbook

The course will cover multiple integrals, line integrals, surface integrals, Green's theorem, Stokes's theorem, Gauss's theorem (a.k.a. divergence theorem), and possibly differential forms.

The required textbook is Vector calculus by S. Colley, available at the bookstore and on reserve at the library. We will follow chapters 5, 6 and 7. We will also briefly review some material from chapter 3.

Prerequisites

Math 51, or familiarity with the following notions:

  • Derivative in one dimension;
  • Definition of the Riemann integral;
  • Fundamental theorem of calculus;
  • Elementary integration techniques, such as integration by parts and substitutions;
  • Elementary vector calculus, including dot product and cross product;
  • 3-by-3 determinants.

    • Who, when and where

    Lecture 1

    Instructor: Laurent Demanet
    Contact info

    Section 01: MWF 11:00a - 11:50a
    Room 200-305

    Section 04: MWF 1:15p - 2:05p
    Room 200-305

    Office hours: Th 3:00p - 5:00p
    or by appointment
    Room 380-382J

    Discussion 1

    Teaching asst.: Ben Williams

    Section 02: TTh 11:00a - 11:50a
    Room 320-109

    Section 06: TTh 2:15p - 3:05p
    Room 200-002

    Office hours: M 5:00p - 6:00p,
    W 12:00p-1:00p, F 2:00p-3:00p
    Room 380-381J

    Discussion 2

    Teaching asst.: Ken Chan

    Section 03: TTh 11:00a - 11:50a
    Room 80-113

    Section 05: TTh 1:15p - 2:05p
    Room 200-030

    Office hours: T 5:00p - 7:00p,
    Th 5:00p - 6:00p
    Room 380-380U1

    Lecture 2

    Instructor: Wojciech Wieczorek
    Homepage

    Section 07: MWF 11:00a - 11:50a
    Room 380-380W

    Section 10: MWF 1:15p - 2:05p
    Room 380-380W

    Office hours: MWF 2:15p - 3:15p
    Room 380-381E

    Discussion 3

    Teaching asst.: Andres Angel

    Section 08: TTh 10:00a - 10:50a
    Room GESB131

    Section 12: TTh 1:15p - 2:05p
    Room Sequoia 200

    Office hours: M 2:15p - 3:15p,
    T 11:00a - 1:00p
    Room 380-380T

    Discussion 4

    Teaching asst.: Zachary Cohn

    Section 09: TTh 11:00a - 11:50a
    Room 70-72A1

    Section 11: TTh 1:15p - 2:05p
    Room 200-034

    Office hours: MTF 4:00p - 5:00p
    Room 380-381J

    The grader for the homework is Fah Sathirapongsasuti ().

    Each student chooses one section for the lecture and one section for the discussion, through Coursework. The first day of class is Wednesday January 10. There will be no class on Monday January 15 (MLK day) and Monday Februay 19 (President's day). Please note that the drop deadline is February 4.

    Exams and homework

    There will be weekly homework, two midterm exams and one final exam. Grading: homework 20%, first midterm 20%, second midterm 20%, final 40%. The lowest grade on the homework will be dropped.

    Exams

    The first midterm will be on Wed Jan 31 from 7PM to 9PM, room HERRINT175 for sections 01 and 04, and 370-370 for sections 07 and 10. The second midterm will be on Th Mar 1 from 7PM to 9PM, room 380-380X (sections 02, 06) or 380-380Y (sections 03, 05) or 550-550A (sections 08 thru 12). The final will be on Mon Mar 19 from 7PM to 10PM, room BRAUNAUD (Mudd Chem building).

    Homework

    Assignments are usually posted each Wednesday and due the following Wednesday at 5PM, in your TA's mailbox (see exact dates on the right when in doubt). Alternatively, on exam dates, you can turn in the homework right before the exam (at 7PM). No late copies will be accepted. It is okay to discuss the homework with others, but you need to work by yourself on the final copy you'll turn in.

    Online course evaluation

    We kindly ask that you complete an online course evaluation at the end of the term. You can do that right now on Axess. Your opinion is very important to us!

    Further help and advice

  • Handout on the interpretation of divergence as a rate of change of areas.
  • Here is a practice final exam and its solution. This practice final was written when the course was taught from a different textbook. Essentially the material covered is still the same, so this old final is still a valid guide. Here's also a practice first midterm exam.
  • Confused about the material? Your first resource should be the office hours offered by the teaching assistants and the instructors. Office hours are also a good time to give us feedback on the class. If you prefer to make anonymous comments, please leave a note in the instructor's mailbox.
  • Please write neat and complete solutions to the problem sets. "Neat" means well structured, not only esthetically, but also logically. "Complete" means that the grader will need to see a sufficient amount of explanations and details to give you full credit, even if the question only asks for a numerical answer.
  • The Center for teaching and learning offers free drop-in tutoring and one-on-one appointments for students in the 50's sequence. Follow this link for times and locations. "The tutors do offer a different sort of help than TAs might. Our tutors are undergraduates who have been trained to ask questions that lead students to come upon solutions on their own. The tutors have succeeded in the class in the past."
  • The Stanford University Mathematics Organization (SUMO) offers free drop-in tutoring for students in the 50's sequence. Tutoring is available on Mondays and Wednesdays from 6:00- 10:00 p.m. in room 380-381T of the math building.


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