Please note that is just a sample syllabus, actual syllabi for the various sections of the course will likely be different each semester. Different instructors may choose somewhat different material. The number of class sessions varies between fall and spring semesters, Monday-Wednesday and Tuesday-Thursday classes.

All section numbers refer to James Stewart, *Calculus: Early Transcendentals*, 8th Edition.

Class | Material | Sections |

1 | Review of integration, areas between curves. | Chapter 5, §6.1 |

2 | Volumes | §6.2, 6.3 |

3 | Integration by parts. | §7.1 |

4 | Trigonometric integrals. | §7.2 |

5 | Trigonometric substitution. | §7.3 |

6 | Integration of rational functions. | §7.4 |

7 | Improper integrals. | §7.8 |

8 | Review, stategy for integration. | §7.5 |

9 | Midterm 1. | |

10 | Arc length. | §8.1 |

11 | Area of a surface of revolution. | §8.2 |

12 | Differential equations. | §9.1 |

13 | Separable equations. | §9.3 |

14 | Linear equations. | §9.5 |

15 | Parametrized curves. | §10.1, 10.2 |

16 | Polar coordinates, area length in polar coordinates. | §10.3, 10.4 |

17 | Review. | |

18 | Midterm 2. | |

19 | Sequences. | §11.1 |

20 | Series and the integral test. | §11.2, 11.3 |

21 | Comparison tests. | §11.4 |

22 | Alternating Series, absolute convergence, ratio and root tests. | §11.5, 11.6 |

23 | Stategy for testing series. | §11.7 |

24 | Power series, representations of functions as power series. | §11.8, 11.9 |

25 | Taylor and Maclaurin series. | §11.10 |

26 | Applications of Taylor polynomials. | §11.11 |

27 | Review. |