Warning: This table is not guaranteed to be up-to-date with respect to either the MATH 100 schedule or the contents of the various textobooks. In particular, the order of the topics may not correspond to the order taught in a particular year.
The columns below provide the sections of the following calculus textbooks relative to those of the primary text, the CLP-1 textbook by Feldman, Rechnitzer and Yeager:
| Topics | CLP1 | Active Calculus | Apex Calculus | Mooculus | Stewart |
|---|---|---|---|---|---|
| Tangents and velocity Introduction to limits Using limit laws |
1.1-1.4 | 1.1-1.2 | 1.1 & 1.3-1.4 | 1.1-1.3 | 2.1-2.3 |
| Limits at infinity Continuity A first look at derivatives |
1.5-1.6 & 2.1-2.3 | 1.7 2.8 1.3 |
1.5-1.6 & 2.1-2.2 | 2.1-2.3 & 3.1 | 2.5-2.7 |
| A second look at derivatives Derivatives of sums, products and ratios Derivatives of exponentials |
2.3-2.4 & 2.6-2.7 | 1.4, 2.1, 2.3 | 2.3-2.4 | 3.1-3.2 & 5.1-5.2 | 2.8 & 3.1-3.2 |
| Derivatives of trig functions The chain rule Inverse functions |
2.8-2.9 & 0.6 | 2.2,2.4-2.6 | 2.3-2.4 2.5 ⚪ |
7.1 & 6.1 & 0.2 | 3.3-3.4 & 1.6 |
| Logarithms (and their derivatives) Implicit differentiation Inverse trig functions |
2.10-2.12 | 2.6-2.7 | 2.6-2.7 | 6.2-6.3 & 7.2 | 3.5-3.6 |
| Rates of change Exponential growth and decay |
3.1 3.3 |
⚪ | ⚪ | 8.2 & 11.2 | 3.7-3.8 |
| Related rates Linear approximations Taylor polynomials |
3.2 3.4 |
3.5 1.8 8.5 |
4.2 4.4 8.7 |
8.3 & 10.1 no Taylor |
3.9-3.10 no Taylor |
| Taylor's formula and remainders Finding maxima and minima |
3.4 3.5 |
8.5 3.3 |
8.7 3.1 |
no Taylor 4.1 & 9.1 |
no Taylor 4.1 |
| Mean value theorem Curve sketching |
2.13 3.6 |
no MVT 3.2 |
3.2, 3.3-3.5 | 10.3 & 4.1 | 4.2-4.3 & 4.5 |
| More curve sketching | 3.6 | 3.2 | 3.3-3.5 | 4.2-4.5 | 4.3 & 4.5 |
| Optimisation problems L'Hopital's rule |
3.5 3.7 |
3.4 & 2.8 | 4.3 ⚪ |
9.2 & 8.1 | 4.4 & 4.7 |
| Antiderivatives | 4.1 | 4.4 | ⚪ | 11.1 | 4.9 |