Math 52 - Integral Calculus of Several Variables - Fall 2007

| General Info | Syllabus | Announcements & Dates | Additional Help | Homework | Handouts | Lecture Summaries|

General Information

Meeting Time Mon., Tue., Wed., Thu., Fri., 2:15 - 3:05
Location Building 380 (Math), room 380-X
Instructor Dragos Oprea (oprea at math dot stanford dot edu)
Office: 382-D (2nd floor, Math building 380)
Office Phone: 3-2974
Office Hours: Wed 3:15-6:15.

Dominic Dotterrer
Office Hours: MW 4-5:30, R 12:30-2, F 12-1, in 380-J
Email: dominicd at math at you know where dot edu.

Nathan Stiennon
Office Hours: M 11-1, T 12:15-2:15, W 11-1 in 380-L
Email: nstienno at math at you know where dot edu.

Textbook Vector Calculus by S. Colley.
Required and available at the bookstore and on reserve at the math library. We will cover chapters 5, 6 and 7.
Homework: 20%
Midterm I: 20%
Midterm II: 20%
Final Exam: 40%
Line and surface integrals, iterated integrals, the theorems of Green, Gauss and Stokes.
Prerequisites Math 51 or its equivalent
A brief list of topics you should be comfortable with (but will be briefly reviewed throughout the course as necessary): single variable integration techniques (specifically: fundamental theorem of calculus, integration by parts, substitutions), vector operations, matrices and basic linear algebra (more specifically: dot product, cross product, determinants, inverses), partial derivatives.


The tentative syllabus can be found here.

Announcements & Dates

Important Dates and Class Holidays:
  • Monday, September 24th: First day of class
  • Sunday, October 14: Add deadline
  • Thursday, October 18, Midterm I, 7-9 pm
  • Sunday, October 21: Drop deadline
  • Thursday, November 15, Midterm II, 7-9 pm
  • Sunday, November 18: Withdrawal deadline
  • Monday-Friday November 19-23: Thanksgiving Recess -- No Class
  • Monday, December 10: FINAL EXAM, 7-10 pm.

Midterm I location: Thursday 7-9PM, 200-020. Tuesday's lecture will be required for the midterm. Wednesday's lecture will concern finding potentials and will not be necessary for the midterm, but it will be used in the next homework. Thursday's lecture will be midterm review.

Midterm I average 60.8 out of 80.

Midterm I solutions: I distributed those after the exam. Get in touch with me if you didnt get a copy.

Midterm II average: 55.4 out of 80, standard deviation is 10.3.

Office hours for the final: Friday 12:15-2:15, Monday 12:15-2:15.

Review for the final: Friday 2:15-3:15.

Final Exam: Monday Dec 10, Building 370.

Additional Help

If you are having trouble with the homework or have questions about the material, the best way to get help is to attend the office hours offered by me and the two teaching assistants. If you can't make the scheduled times, then email us and we'll set up an appointment.

Additional help is given by

  • The Stanford University Mathematics Organization (SUMO) provides free walk-in tutoring for math students in the 51, 52, and 53 classes. Tutoring is held Monday and Wednesday, 6-10 pm, in room 381T of the math building (that's Building 380). Tutoring begins on Monday, October 8.
  • 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.


Problem Sets are tentatively due on Thursdays at 5pm in my mailbox. No late copies will be accepted, but the lowest score will be dropped. Completing homework assignments is an integral part of this course. When you have worked on a problem for a while and remain stuck, you are encouraged to ask for hints from me or from the CAs. Students may also discuss problems with one another, but must write solutions on their own.
  • Homework 1, due Oct 4 - PDF Solutions PDF.
  • Homework 2, due Oct 11 - PDF Solutions PDF.
  • Homework 3, due Wednesday Oct 17 - PDF Solutions PDF.
  • Practice problems for the midterm - PDF
  • Midterm I - PDF
  • Homework 4, due Thursday Oct 25 - PDF Solutions PDF.
  • Homework 5, due Thursday Nov 1 - PDF Solutions PDF.
  • Homework 6, due Thursday Nov 8 - PDF Solutions PDF.
  • Homework 7, due Wednesday Nov 14 - PDFSolutions PDF.
  • Homework 8, due Wednesday Dec 4 - PDFSolutions PDF.
  • Practice problems for midterm II- PDF
  • Midterm II- PDF


Midterm 1 Winter 2007 Solutions.

Midterm 2 Winter 2007 Solutions.

Practice Final Winter 2007 Solutions.

Final Winter 2007.