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 |