**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.

**Syllabus:**

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

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

**Assessment:** 0.15*a* + 0.15*t* + 0.7*f*, 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. There is no "additional work" option and the grade of incomplete will not be given. A supplemental exam will be available.

**Assignments:** There will about 5 assignments during the semester delivered on-line using the Webwork system.

**Mid term:** There will be one written midterm test.

**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 www.mcgill.ca/integrity
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.