Problems are from the assigned textbook: James Stewart, Calculus: Concepts and Contexts, 4th Edition, Thomson Brooks/Cole, 2009.
The following is a minimal set of problems you should be able to solve by the end of the course. Additional practice (e.g. review after each chapter) is up to your discretion.
| Date Assigned | Topic | Problems |
|---|---|---|
| Jan 8 | tangents & velocities | §2.1; #1, 3 |
| limits | §2.2; #3, 5, 13, 19, 21 | |
| limit laws | §2.3; #9, 11, 15, 19 | |
| Jan 21 | quiz #1 | |
| Jan 22 | more limit laws | §2.3; #3, 5, 7, 17, 21, 37 |
| continuity | §2.4; #1, 3, 15, 17, 19, 21, 27, 29, 35, 41, 43 | |
| Jan 28 | quiz #2 | |
| Jan 29 | limits involving |
§2.5; #3, 5, 15, 16, 17, 23, 24, 37 |
| defn of the derivative | §2.6; #1, 3, 7, 9, 19, 21, 28 | |
| more derivatives | §2.8; #1, 3, 5 | |
| Feb 4 | quiz #3 | |
| Feb 5 | power rule | §3.1; #7, 9, 11, 15, 19, 27 |
| derivative rules | §3.2; #3, 5, 7, 11, 25 | |
| trig functions | §3.3; #1, 3, 7, 13 | |
| chain rule | §3.4; #7, 9, 17, 23 | |
| Feb 12 | midterm exam #1 | |
| Feb 22 | implicit differentiation | §3.5; #3, 5, 7, 13, 21, 23 |
| Feb 25 | quiz #4 | |
| Feb 26 | inverse trig functions | §3.6; #17, 19, 23, 32 |
| logarithms | §3.7; #1, 9, 21, 25, 37, 39, 41 | |
| related rates | §4.1; #3, 5, 9, 13, 15, 23 | |
| March 4 | quiz #5 | |
| March 4 | more related rates | §4.1; #11, 19, 25, 29 |
| linear approximation | §3.9; #5, 6, 9, 15, 17, 27 | |
| March 11 | quiz #6 | |
| March 11 | max/min values | §4.2; #41, 45, 47, 49, 51 |
| optimization problems | §4.6; #3, 5, 6, 11, 15 | |
| Newton's method | §4.7; #5, 7, 11 | |
| March 18 | quiz #7 | |
| March 18 | concavity & curve sketching | §4.3; #2, 6, 7, 15, 17, 21, 23, 25, 31, 41 |
| March 26 | midterm exam #2 | |
| April 1 | L'Hopital's rule | 4.5; #5, 7, 9, 11, 13, 19, 29 |
| asymptotes | 4.3; #33, 34, 39 | |
| parametric curves | 3.4; #79, 81, 82, 83 | |
| April 8 | quiz #8 | |
| April 9 | final lecture | |
| April 13 | final exam |
April 1, 2010