MATH 200: Multivariable calculus, the common website.
Winter Term 2 2017/18

Individual section websites:

Exams and Marking

Course mark will be based on the Homework Webwork (10%), five in-class quizzes (15%), one common midterm exam (25%), and the final exam (50%). The Final exam will be on Monday April 23, noon - 2:30pm. Rooms are section-specific (please check your exam calendar). The final exam will cover the entire course. The midterm and the final exam will be common between all sections, and marked jointly. No calculators, electronic communication devices, books, notes or aids of any kind will be allowed for exams. Students are required to bring ID to all exams.


  • All exams are closed book, but you can bring 1 formula sheet written on both sides. Calculators will not be permitted.
  • Missing a midterm results in a score of 0, except with prior consent of the instructor or with a doctor's note. In these latter cases, you will be allowed to take a make-up midterm; dates and times of make-up midterms will be announced later.
  • Each Webwork assignment generally closes at 11:59pm on Wednesday (occasionally, Tuesday or Thursday) night (please look at the dates carefully in case there are some deviations). No extensions are possible.
  • If for any reason you have to miss the final exam, it is the university-wide policy that you need to apply for "standing deferred" status through your faculty. Missed finals are not handled by the instructors or the Mathematics Department.

  • Homework

    Getting help


  • You can use Wolfram Alpha -- it is a wonderful tool for plotting graphs of functions of two variables, for example. If you want to visualize, for example, the surface x^2+xy-y^2+3z=0, just type in "plot (x^2+xy-y^2+3z=0)". A note about Webwork and Wolfram Alpha: there will be many problems in Webwork which require thinking and which Wolfram Alpha cannot do; for the more mechanical ones that it can do, if you just use the software and copy the answers, it detracts from your learning. You might get a few extra points for the webwork problem, but you'll certainly lose much more on the exam for not having that skill. So use this great software to your advantage (to help you visualize the objects we study, and to learn), not to your disadvantage (to cheat on Webwork).
  • See review materials for the exams below the "Announcements" section on this website.
  • Math Learning Centre drop-in tutoring.


    Review materials for the Final exam

    Here are some handouts to help you review (please not that the "detailed list of topics" handout reflects my personal view of which topics are important; other instructors might have emphasized different topics).
  • The detailed overview of topics.
  • a table of integrals and useful integration techniques .
  • You can access old final exams without solutions at: The Math department website . The Math Club sells solution packages in MATX 1119. Please see their Facebook page for the schedule.
  • Notes from the document camera, from a review session from 2013.
  • There are three giant Webwork sets: These are pdf printouts generated by webwork for one user (your problems will be slightly different). Use these files to identify problems of interest, and then you can try your answers in webwork. These Webwork sets ARE NOT FOR MARKS.
  • Final from 2003, with solutions . Ignore Problem 8.
    Some old midterms (still good for reviewing many topics):
  • Midterm 1 for Math 263, 2005. (Ignore Problem 2).
  • Midterm 1 from 2007. (Ignore Problem 2).
  • Midterm 1 from 2012 (this one was too easy, though -- you can expect a slightly harder exam this year and it will cover more).
  • Midterm 1 from 2013 with solutions
  • Midterm 2 from 2013 with solution (only look at problems 1(a)(b), (c) and 3).
  • Midterm from 2015 (with solution)
    In the exams below, from Math 263, ignore all the problems about: vector functions, surface area, arc length, or vector fields (this course had more material).
  • Midterm 2 from 2004 but for Math 263
  • Math 263 final from 2007. Ignore Problems 2,5,6.
  • Another old Math 263 final Ignore problems 5,6,7,8.

    (Approximate) week-by-week course outline

    Chapter numbers are from Apex Calculus unless otherwise specified. Please note that this is only an approximate outline; it may be updated as the course progresses. Please also check the individual sections' websites for more specific information about your lectures. Some illustrations and supplemental materials may be posted below the description of a week's lectures, please keep checking.