Preparing a course schedule is typically an exercise in fiction-writing. However, we hope to roughly follow this schedule:

Date |
Lecture |
Assigned Reading |
Discussion Questions |
---|---|---|---|

Week 1 |
|||

1/26-1/28 | Introduction and Basic Definitions, Euclid's Lemma | Chapter 1, Section 2-1 | Week 1 (TEX) |

Week 2 |
|||

2/2-2/4 | The Fundamental Theorem of Arithmetic | Chapter 2 | Week 2 (TEX) |

Week 3 |
|||

2/9-2/11 | Congruences | Chapter 4 | Week 3 (TEX) |

Week 4 |
|||

2/16-2/18 | Congruences | Chapter 3 | |

Week 5 |
|||

2/23-2/25 | Arithmetic Functions | Chapter 5 | Week 5 (TEX) Mobius (TEX) |

Week 6 |
|||

3/2-3/4 | Arithmetic Functions | Chapter 6 | Mobius (TEX)
Mobius (TEX) |

Week 7 |
|||

3/9-3/11 | Multiplicative Functions | Chapter 6 | Mobius (TEX) |

Week 8 | |||

3/23-3/25 | Primitive Roots | Chapter 6 | Week 8 (TEX) |

Week 9 | |||

3/30-4/1 | Midterm | Chapter 7 | |

Week 10 | |||

4/6-4/8 | Quadratic Residues | Chapter 8 | Week 10 (TEX) |

Week 11 | |||

4/13-4/15 | Quadratic Residues | Chapter 9 | |

Week 12 | |||

4/20-4/22 | Quadratic Reciprocity | Chapter 9 | Week 12 (TEX) |

Week 13 | |||

4/27-4/29 | Patterns in Quadratic Residues | Chapter 10-1 | |

Week 14 | |||

5/4-5/6 | Sums of Squares | Chapter 11-1 and 15-1 | |

Week 15 | |||

5/11 | Presentations | ||

Week 16 | |||

5/18 | Final Exam (3:00-5:00) |