calculus III

math 222, McGill university

about the course

Welcome to the math222 course webpage! Here, you'll find info about the class and links to some helpful ressources. The page will be updated every week and it will serve as the main communication tool. If any link is broken, please let me know.

schedule

course
mtwr 11:00-13:30
Rutherford physics building, room 112

Please note that the courses take place in-person. Courses start officially on Thursday May 1st and end on Thursday May 29th (see key academic dates here).

course outline

The official course overview from the math department is the following :

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.

You can find the up-to-date course outline here.

structure of the course
  • §1. Series (based on chapter 11 of Stewart's book)
    • 1.1 Recap on sequences
    • 1.2 Series
    • 1.3 Convergence criteria
    • 1.4 Power series
    • 1.5 Taylor series
  • §2.

references

books

The main reference for the class will be the 9th edition of Stewart's Multivariable calculus. On the website of McGill's library, you can find the 8th edition here and the complete text Calculus : early transcendentals of which our textbook is a subset here.

webwork

You can try out some exercises on the webwork which is accessible via MyCourses. These exercises will not be graded, but you will receive an automated feedback.

additionnal ressources

Grant Sanderson (also known under the pseudonym 3blue1brown) is a mathematician from Stanford who developped incredible expertise in math visualisation. He built a series of short videos about calculus which you can find here.

More ressources will be added in the future.

course calendar

The following calendar can give you a good impression of what's to come! Don't forget to scroll down to get some more precise info about quizzes and exams.

evaluations

There will be three quizzes (1h, 4% each), one midterm (2h30m, 33%) and one final exam (3h, 55%). Students attempting the quizzes automatically get full marks. Evaluations will all be closed book.

exams

As time goes, you will be able to find the pdfs of past exams here.

course log

week 1

01.05

lectures

  • 01.05 chapter 11, sections 1 and 2.
    suggested exercises (numbering from the 9th edition) : 11.1.(3-16), 11.1.(17-22), 11.1.(27-62), 11.1.70, 11.1.76, 11.1.(78-84), 11.1.87, 11.1.95, 11.1.97, 11.2.(17-22), 11.2.(23-32), 11.2.(59-66), 11.2.69, 11.2.86, 11.2.90, 11.2.91

week 2

05.05-09.05

lectures

  • 05.05
  • 06.05
  • 07.05
  • 08.05 quiz 1

week 3

12.05-15.05

lectures

  • 12.05
  • 13.05
  • 14.05
  • 15.05 midterm

week 4

19.05-23.05

important info

no classes on monday, fête des patriotes

lectures

  • 19.05 no lecture, holiday
  • 20.05
  • 21.05
  • 22.05 quiz 2

week 5

26.05-30.05

lectures

  • 26.05
  • 27.05
  • 28.05
  • 29.05 quiz 3

final exam

02.06 or 03.06

Information about the final exam will be available here.