All sections refer to James Stewart, Lothar Redlin, Saleem Watson *Precalculus: Mathematics for Calculus*, 7th edition.

Class | Material | Sections |

1 | Real numbers, powers. | §1.1, 1.2 |

2 | Algebraic expressions, rational expressions. | §1.3, 1.4 |

3 | More on rational expressions, equations. | §1.4, 1.5 |

4 | Modeling with equations (word problems), inequalities, coordinate geometry. | §1.7, 1.8, 1.9 |

5 | Functions, graphs. | §2.1, 2.2, 2.3 |

6 | Average rate of change, linear functions. | §2.4, 2.5 |

7 | Transformations of functions. | §2.6 |

8 | Review. | |

9 | Midterm 1. | |

10 | Combining functions. | §2.7 |

11 | One-to-one functions and inverses. | §2.8 |

12 | Quadratic functions. Polynomial functions. | §3.1, 3.2 |

13 | Dividing polynomials, real roots. | §3.3, 3.4 |

14 | Complex numbers, fundamental theorem of algebra, rational functions. | §1.6, 3.5, 3.6 |

15 | Exponential functions and logarithms. | §4.1, 4.2, 4.3 |

16 | Properties of logarithms, equations with exponents and logs, applications. | §4.4, 4.5, 4.6 |

17 | Trigonometric functions via the unit circle | §5.1, 5.2 |

18 | Graphs of trigonometric functions. | §5.3, 5.4 |

19 | Inverse trig functions, applications. | §5.5, 5.6 |

20 | Trigonometric functions via right angles. | §6.1, 6.2, 6.3 |

21 | Inverse trig functions, laws of sines and cosines. | §6.4, 6.5, 6.6 |

22 | Review. | |

23 | Midterm 2. | |

24 | Trigonometric identities. | §7.1, 7.2 |

25 | More identities. Working with equations involving trig functions. | §7.3, 7.4, 7.5 |

26 | More equations with trig functions. | §7.5, 7.6 |

27 | Polar coordinates. | §8.1, 8.2, 8.3 |

28 | Review. |