MATH 101 Section 201
Integral Calculus with Applications to Physical Sciences and Engineering

**** LATEST NEWS ****
  1. Integration Quiz Solutions and marking scheme. Note that 1 point was for a correct technique, 1 point for the correct first line of the technique, and 1 point for the final answer.

  2. You may find the Math Wiki Exam Resources useful in your preparation for the final exam.

  3. My colleague Joel Feldman is leading the project to write a set of course notes for MATH 101. His first drafts (which are excellent) can be found here. Go to the bottom of the page where it says Notes.

  4. The 10% class mark for this section will be earned though a combination of quizzes. 5% of this will be for a single integration quiz on March 14th in class.

Course Information

Text: Calculus: Early Transcendentals 7th Edition by James Stewart.

The official statement of course policies and the grading scheme can be found at the MATH 101 website.

  • Note that NO unauthorized electronic devices (e.g. cell phones, ipods) or memory aids are permitted on any quizzes or exams.

  • No unauthorized audio or video recording devices may be used in class.

  • Instructor Information
    Instructor: Mark MacLean
    Email: maclean (domain:
    Office: MATH 113
    Phone: 604-827-3038 (I do not have voice mail.)
    Office Hours: By appointment. I also answer questions by email.

    Online Course Material

    Notes and Handouts from Class
    1. Class notes from 6 January 2014.
    2. Class notes from 8 January 2014.
    3. Class notes from 10 January 2014.
    4. Class notes from 13 January 2014.
    5. Class notes from 15 January 2014.
    6. Class notes from 17 January 2014.
    7. Class notes from 20 January 2014.
    8. Class notes from 22 January 2014.
    9. Class notes from 24 January 2014.
    10. Class notes from 27 January 2014. Note the correction on the last page to the lower limit of integration.
    11. Class notes from 29 January 2014.
    12. Class notes from 31 January 2014.
    13. Class notes from 3 February 2014.
    14. Class notes from 5 February 2014. Note that I added a note on the range of theta and why we need to consider the invertibility (ability to undo) of the change of variables. It will be worthwhile for you to review your high school notes on inverse trigonometric functions (or look in Stewart).
    15. Class notes from 7 February 2014.
    16. Class notes from 12 February 2014.
    17. Class notes from 14 February 2014.
    18. Class notes from 24 February 2014.
    19. Class notes from 26 February 2014.
    20. Class notes from 28 February 2014.
    21. Class notes from 3 March 2014.
    22. Class notes from 5 March 2014. (Note that I completed the last example.)
    23. Class notes from 7 March 2014.
    24. Class notes from 10 March 2014.
    25. Class notes from 17 March 2014.
    26. Class notes from 19 March 2014.
    27. Class notes from 21 March 2014. Note that I will post an addendum set of comments on the second example on page 5. There is a subtle logical thing going on here: The fact that the limit of the sequence a_k is not zero means the AST doesn't apply. However, the Divergence Test does apply since it works for any series: that is, if the limit of the terms of the series is not 0, then the series diverges.
    28. Class notes from 24 March 2014.
    29. Class notes from 26 March 2014. It is worth thinking about the 0^0 question that came up in class today. We'd like x^0 = 1 for all x for a whole host of good mathematical reasons. Thus it makes sense to define 0^0 to be one. (I also finished off the end point check on the last example so you can check your own work on this.
    30. Class notes from 28 March 2014. I added a few notes and completed the last example for you. That last example is a common thing you would see taking a later mathematics course, but in MATH 101 it would be an A+ question to ask you to do it on the exam.
    31. Class notes from 31 March 2014.
    32. Class notes from 2 April 2014.
    33. Class notes from 4 April 2014.

    Vidoe Notes from Class



  • Integration Quiz Solutions

    Page updated: 7 April 2014.
    Page maintained by Mark Mac Lean.
    Copyright for materials on this page belongs to Mark Mac Lean. These materials are not to be copied, used, or revised without explicity written permission of the copyright owner.
    Permission is granted to students in MATH 101 section 201 to make use of these materials for their study.