University of British Columbia
Department of Mathematics

Multivariable Calculus - MATH 253 section 104 - 2011W1


Ori Gurel-Gurevich.

Time and Place

Tuesdays and Thursdays, 2:00-3:20pm at Chemistry D300.

Office Hours

Tuesdays and Thursdays, 1-2pm at WMAX 109 or by appointment. Feel free to send me emails with questions about the material.

If you need help, you should also consider the drop in tutoring.

Course Outline

This is an introduction to the calculus of several variables. The main topics are partial derivatives and multiple integrals - basically adding extra dimensions to first year calculus. Hence an appreciation of three dimensional geometry is essential.

Sections numbers refer to Stewart, Multivariable Calculus, 6e (for Early Transcendentals, subtract 1 from the section numbers):

  1. Vectors, quadratic surfaces (Sections 13.1-13.6, 11.1, 11.3, 11.5)
  2. Partial derivatives, increments, chain rule (Sections 15.1-15.5)
  3. Taylor's Polynomials in 1 and multiple dimensions (Sections 12.10, 12.11 and notes provided here)
  4. Directional derivative and Gradients (Section 15.6)
  5. Max/min, Lagrange multipliers (Sections 15.7-15.8)
  6. Double integrals (Sections 16.1-16.5)
  7. Triple integrals (Sections 16.7-16.8)

Here is a list of Objectives and Summary of Topics.

Textbook and other material

Early Transcendentals, or Multivariable Calculus by James Stewart Edition 6e.

Final Exam

The final exam is scheduled for Friday, Dec 16, 8:30am, at MATH 100. If you think you may have a conflict or a hardship (3 exams *within* 24 hours with Math being the middle exam) then you should contact Mar Ness (ness at by email with your name, student number, and an explanation of the issue. You are also welcome to stop by the Math Office and speak to Mar.

Midterms and Quizzes

There will be 2 midterms, 80 minutes long each, on Tuesday at regular class time and location. Each will count for 17.5 points of the final grade.

There will be 3 quizzes, 20 minutes long each, on Tuesdays at the beginning of class. Each will count for 5 points of the final grade.

Additionally, a mark will be given for participation in clicker polls in class. This mark will be used instead of the lowest quiz mark, if it is for the benefit of the student.

The material for midterm and quizzes is everything we studied until that point. The quizzes questions will be very similar to questions from your homework assignments.

The dates are:

No books, notes, calculators, other human beings or similar aids will be allowed in any of the exams.

There is a Vista section for, where you can see your marks and register your clicker.

Material covered and Homework

Sections numbers refer to Stewart, Multivariable Calculus, 6e (for Early Transcendentals, substract 1 from the section numbers).

Anonymous feedback

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