Tentative Outline – Fall 2016
Calculus: Applications and Technology (3rd edition), by E. Tomastik
| Week | Section | Topic |
|---|---|---|
| 1 | ||
| A1 | Exponents and roots | |
| A2 | Polynomials and rational expressions | |
| A4 | Inequalities | |
| 2 | Note: there will be no classes on Mon. Sept. 5th (Labor Day) | |
| A6 | Lines | |
| 1.1 | Functions | |
| 3 | 1.2 | Mathematical models |
| Quiz 1; start 1.3 | ||
| 1.3 | Exponential models | |
| 4 | 1.4 | Combinations of functions |
| Review | ||
| Exam 1 (Friday, September 23rd) | ||
| 5 | 1.5 | Logarithms |
| Quiz 2; start 3.1 | ||
| 3.1 | Limits | |
| 6 | 3.2 | Rates of change |
| 3.3 | The Derivative | |
| 4.1 | Derivatives of powers, exponents and sums | |
| 7 | 4.2 | Derivatives of products and quotients |
| Quiz 3; start 4.3 | ||
| 4.3 | The chain rule | |
| 8 | 4.4 | Derivatives of exponential and logarithmic functions |
| Review | ||
| Exam 2 (Friday, ) | ||
| 9 | 4.5 | Elasticity of demand |
| Quiz 4; start 5.1 | ||
| 5.1 | The first derivative | |
| 10 | 5.2 | The second derivative |
| 5.3 | Limits at infinity | |
| 5.4 | Additional curve sketching | |
| 11 | 5.4 | Additional curve sketching (more examples) |
| fQuiz 4; start 5.5 | ||
| 5.5 | Absolute extrema | |
| 12 | 5.6 | Optimization and modeling |
| Review | ||
| Exam 3 (Friday) | ||
| 13 | Thanksgiving break | |
| 14 | 6.1 | Antiderivatives |
| 6.2 | Substitution | |
| 6.4 | The definite integral | |
| 15 | 6.5 | The fundamental theorem of Calculus |
| 6.6 | Area between two curves | |
| Review | ||
| 16 | Final exam |