Division by Zero and Other Dangerous Deeds

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 assignments page will always be accurate.

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

1/4 | 1.1 | Introduction |

1/6 | 1.1 | axioms for the real numbers |

1/9 | 1.2 | Absolute value, intervals, and inequalities |

1/10 | 1.3 | Completeness |

1/11 | 1.4 | Countable and uncountable sets |

1/13, 1/16 | no class | |

1/17 | 2.1 | Convergent sequences |

1/18 | 2.2 | Monotone and Cauchy sequences |

1/20 | 2.3 | Subsequences |

1/23 | 3.1 | Limit of functions |

1/25 | 3.2 | Continuous function |

1/27 | 3.3 | Intermediate and extreme values |

1/30 | 3.4 | uniformly continuous function |

1/31 | 3.5 | Monotone functions |