**Week beginning** | **Topics** | **Reading** | **Notes** |

09/04 | *Introduction* Inequalities Properties of the Real Numbers | Chapter 1 | First day of class on 09/06 |

09/11 | 2.2 Absolute Value and the real line 2.3 Completeness 2.4 Applications of Completeness | Chapter 2 up to p49 | |

09/18 | 2.5 Intervals 3.1 Sequences and Limits 3.2 Limit Theorems 3.3 Monotone Sequences | pp40-77, excluding pp49-53 | We may revisit binary and decimal expansions at a later date (time permitting). |

09/25 | 3.2 Limit Theorems 3.3 Monotone Sequences 3.4 Subsequences | pp63-84 | |

10/02 | 3.4 Subsequences 3.5 Cauchy Criterion 3.6 Properly Divergent Sequences | pp78-93 | |

10/09 | 3.5 Cauchy Sequences 3.6 Properly Divergent Sequences | pp88-93 | No class 10/09 (Columbus Day) |

10/16 | 3.7 Introduction to Infinite Series 9.1 Absolute Convergence | pp94-100;pp267-269 | |

10/23 | **Midterm I** 9.2 Tests for Absolute Convergence | pp270-276 | Midterm I on 10/23 |

10/30 | 9.3 Tests for Nonabsolute Convergence 11.4 Metric Spaces | pp277-280;pp341-345 | |

11/06 | 4.1 Limits of Functions 4.2 Limit Theorems | pp102-115 | |

11/13 | **Midterm II** | Revision | No class 11/13 (Veteran's Day) |

11/20 | 4.2 Limit Theorems | pp111-122 | Optional Class on 11/22 (Q&A/Review session). Happy Thanksgiving! |

11/27 | 4.3 Some Extensions of the Limit Concept 5.1 Continuous Functions 5.2 Combinations of Continuous Functions | p116-133 | |