- All sections of Math 100 cover the topics listed below.
- A "week" represents
*approximately*150 minutes of class time, not necessarily a calendar week. - Also see the learning objectives.
- The columns below correspond to sections of different
texts
- Your primary text
- CLP textbook and CLP problem book by Feldman, Rechnitzer and Yeager.

- Secondary suggested texts
- Mooculus by Fowler and Snapp
- APEX Calculus by Hartman et al
- Active Calculus by Boelkins, Austin and Schlicker

- A text that was used previously for this course (you
do not have to buy this, but it is a perfectly good
text)
- Stewart Calculus 7th edition (though any edition that includes single variable calculus will do)

- Your primary text

Topics | CLP Text | Active Calculus | Apex Calculus | Mooculus | Stewart | |
---|---|---|---|---|---|---|

Week 1 | 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 |

Week 2 | 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 |

Week 3 | 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 |

Week 4 | 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 |

Week 5 | 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 |

Week 6 | Rates of change Exponential growth and decay |
3.1 3.3 |
⚪ | ⚪ | 8.2 & 11.2 | 3.7-3.8 |

Week 7 | 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 |

Week 8 | 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 |

Week 9 | 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 |

Week 10 | More curve sketching |
3.6 | 3.2 | 3.3-3.5 | 4.2-4.5 | 4.3 & 4.5 |

Week 11 | Optimisation problems L'Hopital's rule |
3.5 3.7 |
3.4 & 2.8 | 4.3 ⚪ |
9.2 & 8.1 | 4.4 & 4.7 |

Week 12 | Antiderivatives Review (if time) |
4.1 | 4.4 | ⚪ | 11.1 | 4.9 |