Tentative Outline – Spring 2015
Calculus: Applications and Technology (3rd edition), by E. Tomastik
| Week | Section | Topic |
|---|---|---|
| 1 | ||
| A1 | Exponents and roots | |
| A2 | Polynomials and rational expressions | |
| 2 | A6 | Lines |
| 1.1 | Functions | |
| 1.2 | Mathematical models | |
| 3 | 1.3 | Exponential models |
| 1.4 | Combinations of functions | |
| 4 | 1.5 | Logarithms |
| 3.1 | Limits | |
| 5 | 3.2 | Rates of change |
| 3.3 | The derivative | |
| 4.1 | Derivatives of powers, exponents, and sums | |
| 6 | 4.2 | Derivatives of products and quotients |
| 4.3 | The chain rule | |
| 4.4 | Derivatives of exponential and logarithmic functions | |
| 7 | Catch-up/Review | |
| Exam 1 (Thursday 3rd March) | ||
| 3.4 | Local linearity | |
| 8 | 4.5 | Elasticity |
| 5.1 | The first derivative | |
| 9 | Spring break (13th-19th March) | |
| 10 | 5.1 | The first derivative, continued |
| 5.2 | The second derivative | |
| 11 | 5.3 | Limits at infinity |
| 5.4 | Additional curve sketching | |
| 12 | 5.5 | Absolute Extrema |
| 5.6 | Optimisation and modeling | |
| 13 | Catch-up/Review | |
| Exam 2 (Thursday 14th April) | ||
| 6.1 | Antiderivatives | |
| 14 | 6.2 | Substitution |
| 6.4 | The definite integral | |
| 6.5 | The fundamental theorem of calculus | |
| 15 | 6.6 | Area between two curves |
| Catch-up/Review | ||
| Final exam |