We will be using the "CLP notes", which you can find on the author's website. The website also contains links to some other free calculus textbooks. These are useful, because they contain lots of practice problems that you should do.
Some past exams are made available by the math department. Even more past exams are on the UBC wiki.
Some old quizzes: 1 (solutions), 2 (solutions), 3 (solutions), 4 (solutions). 5 (solutions). 6 (solutions).
Date | Topics | Sections | Comments |
---|---|---|---|
Mon, May 9 | introduction to limits | 1.1-1.3 | |
Tue, May 10 | more on limits; using limit laws | 1.3, 1.4 | |
Wed, May 11 | continuity; limits at infinity | 1.6, 1.5 | |
Thu, May 12 | derivatives; examples; quiz | 2.1-2.3 | Quiz, Solutions |
Mon, May 16 | derivatives of sums, products and ratios | 2.4-2.6 | |
Tue, May 17 | Exponential function and its derivative | 2.7 | |
Wed, May 18 | derivatives of trig functions | 2.8 | |
Thu, May 19 | chain rule; inverse functions; quiz | 2.9, 0.6 | Quiz, Solutions |
Mon, May 23 | No class | ||
Tue, May 24 | implicit differentiation; derivative of logarithms and logarithmic differentiation | 2.11, 2.10 | |
Wed, May 25 | inverse trig functions and their derivatives, higher order derivatives | 2.12, 2.14 | |
Thu, May 26 | rates of change; quiz; review | 3.1 | Quiz, Solutions |
Mon, May 30 | exponential growth and decay | 3.3 | |
Tue, May 31 | midterm; related rates | 3.2 | |
Wed, Jun 1 | related rates; linear approximation | 3.2, 3.4 | |
Thu, Jun 2 | Taylor polynomials; quiz | 3.4 | Quiz, Solutions |
Mon, Jun 6 | Taylor remainder | 3.4 | |
Tue, Jun 7 | finding min and max; mean value theorem | 3.5.1, 3.5.2; 2.12 | |
Wed, Jun 8 | mean value theorem; curve sketching | 2.12; 3.6 | |
Thu, Jun 9 | more curve sketching; quiz | 3.6 | Quiz, Solutions |
Mon, Jun 13 | even more curve sketching; de L'Hospital's rule | 3.6; 3.7 | |
Tue, Jun 14 | de L'Hospital's rule | 3.7 | |
Wed, Jun 15 | optimization problems; antiderivatives | 3.5.3, 4.1 | |
Thu, Jun 16 | quiz; review | Quiz, Solutions |