`Mathematics 8`

General Information | Syllabus | Homework Assignments |
---|---|---|

Practice Exams | Tables of Integrals |
Inetersting Links |

The following is a tentative
syllabus for the course. This page will be updated irregularly. On the
other hand, the weekly syllabus contained in the **Homework
Assigments** page will always be accurate.

Lectures | Sections in Text | Brief Description |
---|---|---|

3/29 | 8.1 | Integration by Parts |

3/31 | 8.2 | Integration of Trigonometric Forms |

4/2 | 8.3 | Trigonometric Substitutions |

4/5 | 8.4 | Partial Fractions |

4/7 | 6.2 | Volumes Using Cross-Sections |

4/9 | 6.3 | Volumes of Revolution |

4/12 | 17.1, 17.2 | DE: Basic Concepts; First Order Separable DE |

4/14 | 17.2, 17.3 | First Order DE |

4/16 | 17.3, 17.4 | Applications |

4/19 | 17.5 | 2nd Order, Linear, Homogeneous DE with Constant Coeff. |

4/21 | 8.6 | Improper Integrals |

4/21 | First Hour Exam | |

4/23 | 8.6 | Improper Integrals |

4/26 | 5.5 | Approximation of Integrals (midpoint, trapezoid, and Simpson's rules) |

4/28 | 10.2 | Sequences |

4/30 | 10.3 | Series of Constants |

5/3 | 10.4 | Series of Positive Terms; Integral and Comparison Tests |

5/5 | 10.5 | Series of Positive Terms; Ratio and Root Tests |

5/7 | 10.6 | Series with Variable Signs; Absolute and Conditional Convergence |

5/10 | 10.1 | Approximation of Functions by Polynomials |

5/12 | 10.7 | Power Series (radius and interval of convergence) |

5/14 | 10.8 | Integration and Differentiation of Power Series |

5/17 | 10.9 | Taylor Series |

5/19 | 11.1, 11.3 | Vectors in the Plane and Three Space |

5/19 | Second Hour Exam | |

5/21 | 11.2 | Dot Products, Projections |

5/24 | 11.4 | Cross Products |

5/26 | 11.5 | Lines |

5/28 | 11.6 | Planes |

6/2 | Review |