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 |