MAT 135Y1: Calculus I

Professor: Mary Pugh
Contact information: mpugh@math.
Class times: MWF 9:10-10:00
Office hours: Fridays 10:10-12:00
Office location: room 3141, Earth Sciences Centre, 22 Russell Street (To find my office, enter the building on the Northwest corner of Huron and Russell. Get to the third floor. Walk as far south as you can. Now walk as far west as you can.)

Material to be covered Review of trigonometric functions; trigonometric identities and trigonometric limits. Review of differential calculus; applications. Integration and fundamental theorem; applications. Series. Introduction to differential equations.

This is not the official course webpage. The official course webpage is here. Please go there to see if your questions are answered there before asking me!

Wanna send me email? If you're going to send me email, please include "mat135" in the subject line. Otherwise, my spam filter will catch your email. (Note: do not include a space between "mat" and "135", the subject line should contain a six-symbol string.)

  • Lecture Notes: Sept 10, 2004.

  • Lecture Notes: Sept 13, 2004.
  • Lecture Notes: Sept 15, 2004.
    Here are some notes you may find helpful for understanding the graphs of trig functions.
  • Lecture Notes: Sept 17, 2004.

  • Lecture Notes: Sept 20, 2004.
  • Lecture Notes: Sept 22, 2004.
  • Lecture Notes: Sept 24, 2004.

  • Lecture Notes: Sept 27, 2004.
  • Lecture Notes: Sept 29, 2004.
  • Lecture Notes: Oct 1, 2004.

  • Lecture Notes: Oct 4, 2004.
  • Lecture Notes: Oct 6, 2004.
    Feeling manic? Try manic mode!
  • Lecture Notes: Oct 8, 2004.

  • Oct 11 is Thanksgiving --- no class!
  • Lecture Notes: Oct 13, 2004.
  • Lecture Notes: Oct 15, 2004.

  • Lecture Notes: Oct 18, 2004.
  • Lecture Notes: Oct 20, 2004.
  • Lecture Notes: Oct 22, 2004.

  • Oct 25 and Oct 27: Professor Bloom taught. No web-notes are provided.
  • Lecture Notes: Oct 29, 2004.

  • Lecture Notes: Nov 1, 2004.
  • Lecture Notes: Nov 3, 2004.
  • Lecture Notes: Nov 5, 2004.
    With hard work and inspiration, you can do the (nearly) impossible! Of course, it always helps to have some good friends help you out.

  • Lecture Notes: Nov 8, 2004. Updated Nov 15.
  • Nov 10: review session for term test. No web-notes provided.
  • Lecture Notes: Nov 12, 2004. Updated Nov 15.

  • Lecture Notes: Nov 15, 2004.
  • Lecture Notes: Nov 17, 2004.
  • Lecture Notes: Nov 19, 2004.

  • Lecture Notes: Nov 22, 2004.
  • Lecture Notes: Nov 24, 2004.
  • Lecture Notes: Nov 26, 2004.

  • Lecture Notes: Nov 29, 2004.
  • Lecture Notes: Dec 1, 2004.
  • Lecture Notes: Dec 3, 2004.

  • Dec 6: review session for term test. No web-notes provided.
  • Dec 7: review session for term test. No web-notes provided.
    Have a super winter break!

  • Lecture Notes: Jan 3, 2005.
  • Lecture Notes: Jan 5, 2005.
  • Lecture Notes: Jan 7, 2005.

  • Lecture Notes: Jan 10, 2005.
  • Lecture Notes: Jan 12, 2005.
  • Lecture Notes: Jan 14, 2005.

  • Lecture Notes: Jan 17, 2005.
  • Lecture Notes: Jan 19, 2005.
  • Lecture Notes: Jan 21, 2005.

    Get back to work!
  • Lecture Notes: Jan 24, 2005.
  • Lecture Notes: Jan 26 and Jan 28, 2005.

  • Lecture Notes: Jan 31, 2005.
  • Lecture Notes: Feb 2, 2005.
  • Lecture Notes: Feb 4, 2005.

  • Feb 7, Feb 9, and Feb 11: Dr Kadir taught. No web-notes are provided.

  • Lecture Notes: Feb 21, 2005.
  • Lecture Notes: Feb 23, 2005.
  • Lecture Notes: Feb 25, 2005.

    Ever wonder what your roommate does when you're not around? Here're the lyrics. And here's an essay about the history of the song and of the viral. More lip-synching fun... They want it that way!
  • Lecture Notes: Feb 28, 2005.
    Here's a nice website that has a java-script that lets you play around with the predator-prey (Lotka-Volterra) equations. The book's version of the equations has four parameters: k, a, r, and b. The webpage's version of the equations has four parameters: a, b, c, and d. To translate from the book to the web, look at the top of the webpage to see the equations they're using.
  • Mr Gregson lectured on March 2. Here are some notes for the second half of Section 11.1.
  • Lecture Notes: Mar 4, 2005.
    Zeno of Elea is famously linked with geometric series because of one of his paradoxes. Here are two links. One acknowledges the philosophical difficulties and one which claims math solves all.

  • Lecture Notes: Mar 7, 2005.
  • Lecture Notes: Mar 9, 2005.
  • Lecture Notes: Mar 11, 2005.

  • Lecture Notes: Mar 14, 2005.
  • Lecture Notes: Mar 16, 2005.
    Sad news: my note-taking computer has died. There will be no more online notes this semester.

    Is there something in the notes that confuses you? It might be a mistake on my part. Check the current version of the notes on the web --- sometimes I find mistakes and correct them. If the current version has the same point of confusion, please email me and we can figure out what's going on.

    Your final exam will be on Friday April 22, from 9 am to noon. Look here to find out where to go. I will have extra office hours: on Wednesday April 20 from 10am to 1pm and on Thursday April 21 from 2pm to 5pm.

    Have a great summer! Go out, get some fresh air, learn something new. If you take up city jumping take out some disability and life insurance first...

    Welcome to University! Here are some tips.
  • Exercise and eat properly. Make sure to get at least seven hours of sleep a night.
  • Find some study buddies. Talk to your classmates --- they're here to help you and you them.
  • My friend Mark has some very good study tips for Calculus. His advice holds for pretty much all classes.
  • Mathematics is not a spectator sport. You can't learn calculus just by reading the book. You have to practice Practice PRACTICE. Do the suggested problems. Do extra problems. Work through old exams. How well you do in this course is up to you.
  • You will do better in this course if you come to lecture than if you don't. However useless and confusing it may feel at times, you are more likely to fall behind if you start skipping class.
  • If test-taking generally makes you nervous, have a look at the test-taking brochure from the University of Illinois at Urbana-Champaign. They also have brochures on other aspects of student life --- have a look --- they're soundly written. For something more than brochures, the University of Toronto has a counselling and learning skills centre.