Tentative Outline – Fall 2015
Calculus: Applications and Technology (3rd edition), by E. Tomastik
Exam 1 (Tuesday 6th Oct.)
| Week | Section | Topic |
|---|---|---|
| 1 | ||
| A1 | Exponents and roots | |
| A2 | Polynomials and rational expressions | |
| A6 | Lines | |
| 2 | Note: there will be no classes on Mon. Sept. 7th (Labor Day) | |
| 1.1 | Functions | |
| 1.2 | Mathematical models | |
| 3 | 1.3 | Exponential models |
| 1.4 | Combinations of functions | |
| 1.5 | Logarithms | |
| 4 | 3.1 | Limits |
| 3.2 | Rates of change | |
| 3.3 | The derivative | |
| 5 | 4.1 | Derivatives of powers, exponents and sums |
| 4.2 | Derivatives of products and quotients | |
| 4.3 | The chain rule | |
| 6 | Review | |
| Exam 1 (Tuesday 6th October) | ||
| 4.4 | Derivatives of exponential and logarithmic functions | |
| 7 | 3.4 | Local linearity |
| 4.5 | Elasticity of demand | |
| 8 | 5.1 | The first derivative |
| 5.2 | The second derivative | |
| 5.3 | Limits at infinity | |
| 9 | 5.4 | Additional curve sketching |
| 5.5 | Absolute extrema | |
| 10 | 5.6 | Optimisation and modeling |
| Review / catch-up | ||
| 11 | Review | |
| Exam 2 (Tuesday 10th November) | ||
| 6.1 | Antiderivatives | |
| 12 | 6.2 | Substitution |
| 6.3 | Estimating distance travelled | |
| 13 | Thanksgiving break | |
| 14 | 6.4 | The definite integral |
| 6.5 | The fundamental theorem of Calculus | |
| 15 | 6.6 | Area between two curves |
| Review | ||
| Final exam |