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 |