Calculus 3, MATH 222, Fall 2017

McGill University
Department of Mathematics & Statistics
There will be an exam viewing on Friday January 12, noon to 3 pm. in BURN 1216. No appointment necessary, but please remember to bring your student card.

Course Outline

Prerequisite: MATH 141, Calculus 2 or equivalent. Familiarity with vector geometry or corequisite: MATH 133
Restriction: Not open to students who have taken CEGEP course 201-303 or MATH 150, MATH 151 or MATH 227

Book: James Stewart, Multivariable Calculus, Eighth Edition, Cengage Learning. If you have already Stewart's Full Calculus text (any edition) you do not need to buy the official textbook. In fact any calculus text that covers multivariable calculus will almost certainly suffice for this course.


  1. Taylor series, Taylor's theorem in one and several variables.
  2. Review of vector geometry.
  3. Partial differentiation, directional derivative.
  4. Extreme of functions of 2 or 3 variables.
  5. Parametric curves and arc length.
  6. Polar and spherical coordinates.
  7. Multiple integrals.

This corresponds to chapters 11 thru 15 of the book inclusive.

Assessment: 0.15a + 0.2t + 0.65f, where a, t and f  are percentage marks for the assignments, midterm tests and final examination respectively.

The final examination will be of 3 hours duration. It will contain a multiple choice component and calculators will not be allowed. There is no "additional work" option and the grade of incomplete will not be given. A supplemental exam will be available. Please note that there is no 100% final option available in this course (in compliance with Senate regulations). If you do not do the assignments and take the midterm tests there is no way to make up for the marks you will lose.

Assignments: There will about 6 assignments during the semester delivered on-line using the Webwork system.

Mid terms: There will be two midterms, one written, the other multiple choice. Dates to be announced

Exam Viewing: The instructor reserves the right to set a specific time or times for  the purpose of exam viewing. If such times are set, they will be announced on the course webpage.

Note: In the event of extraordinary circumstances beyond the University's control, the content and/or evaluation scheme in this course is subject to change.

Note: In accord with McGill University's Charter of Students' Rights, students in this course have the right to submit in English or in French any written work that is to be graded.

Academic Integrity: McGill University values academic integrity. Therefore, all students must understand the meaning and consequences of cheating, plagiarism and other academic offences under the Code of Student Conduct and Disciplinary Procedures (see for more information).

Assignment Plagiarism: Assignments must be done individually. You may not copy another person's work. Furthermore, you must not give a copy of your work to another student. If you do plagiarize your assignments, in all probability you will not get caught. However, do not lose sight of the fact that you need to do the assignments yourself in order to develop the skills you will need for the final exam. In reality, the only person you would be cheating would be yourself.