Syllabus — This is a tentative schedule for the class. I will update it as we go to reflect what we actually cover in class.
| Week | Date | Topic | |
|---|---|---|---|
| 1 | 8/22 | M | 1.4 The tangent line and velocity |
| 8/23 | T | 1.5 The limit of a function | |
| 8/25 | R | 1.8 Continuity | |
| 2 | 8/29 | M | 2.1 Derivatives and rates of change |
| 8/30 | T | 2.2 The derivative of a function | |
| 9/1 | R | 2.3 Differentiation formulas | |
| 3 | 9/5 | M | Labor day, no class |
| 9/6 | T | 2.4 Derivatives of trigonometric functions | |
| 9/8 | R | 2.5 The chain rule | |
| 4 | 9/12 | M | 2.5 |
| 9/13 | T | 2.6 Implicit differentiation | |
| 9/15 | R | 2.6 | |
| 5 | 9/19 | M | Review |
| 9/20 | T | Exam 1 | |
| 9/22 | R | 2.8 Related rates | |
| 6 | 9/26 | M | 2.9 Linear approximation and diffferentials |
| 9/27 | T | 3.1 Maximum and minimum values | |
| 9/29 | R | 3.2 The mean value theorem | |
| 7 | 10/3 | M | 3.2 |
| 10/4 | T | 3.3 The shape of a graph | |
| 10/6 | R | 3.4 Horizontal asymptotes | |
| 8 | 10/10 | M | 3.4 |
| 10/11 | T | 3.5 Curve sketching | |
| 10/13 | R | 3.5 | |
| 9 | 10/17 | M | 3.7 Optimization problems |
| 10/18 | T | 3.7 | |
| 10/20 | R | 3.7 | |
| 10 | 10/24 | M | Review |
| 10/25 | T | Exam 2 | |
| 10/27 | R | 3.9/4.1 Antiderivatives and area/distances | |
| 11 | 10/31 | M | 4.2 The definite integral |
| 11/1 | T | 4.3 The fundamental theorem | |
| 11/3 | R | 4.4 Indefinite integrals | |
| 12 | 11/7 | M | 4.5 Substitution |
| 11/8 | T | 4.5 | |
| 11/10 | R | 5.1, 5.2 Areas between curves, Volumes of solids | |
| 13 | 11/14 | M | 5.2 |
| 11/15 | T | 5.3 Volumes using shells | |
| 11/17 | R | 5.3 | |
| 14 | 11/21 | M | Review |
| 11/22 | T | Exam 3 | |
| 11/24 | R | Thanksgiving, no class | |
| 15 | 11/28 | M | 5.3, 5.4 Work |
| 11/29 | T | 5.5 Average value | |
| 12/1 | R | 6.1, 6.2* Inverse functions and the natural logarithm | |
| 16 | 12/5 | M | 6.2*, 6.3* The exponential function |
| 12/6 | T | 6.3*, Review | |
| 12/8 | R | Review | |
| 17 | 12/16 | F | Final Exam 7:30-9:30 pm |