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

Date |
Lecture |
Notes |
Assigned Reading |
---|---|---|---|

Week 1 |
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8/26-8/28 | Introduction and Basic Definitions, Euclid's Lemma | Notes | Chapter 1 |

Week 2 |
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9/4 | The Fundamental Theorem of Arithmetic | Chapter 2 | |

Week 3 |
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9/9-9/11 | Combinatorial Number Theory | Chapter 3 | |

Week 4 |
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9/16-9/18 | Congruences | Notes | Chapter 4-5 |

Week 5 |
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9/23-9/25 | Solving Congruence Equations | Chapter 5 | |

Week 6 |
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9/30-10/2 | Arithmetic Functions | Notes | Chapter 6 |

Week 7 |
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10/7-10/9 | Midterm | ||

Week 8 | |||

10/14-10-16 | Multiplicative Functions | Notes | Chapter 6 |

Week 9 | |||

10/21-10/23 | Primitive Roots | Notes | Chapter 7 |

Week 10 | |||

10/28-10/30 | Counting Primes | Notes | Chapter 8 |

Week 11 | |||

11/4-11/6 | Quadratic Residues | Chapter 9 | |

Week 12 | |||

11/11-11/13 | Quadratic Reciprocity | Notes | Chapter 9 |

Week 13 | |||

11/18-11/20 | Patterns in Quadratic Residues | Notes | Chapter 10-1 |

Week 14 | |||

11/25 | Midterm and Thanksgiving | ||

Week 15 | |||

12/2-12/4 | Sums of Squares | Chapter 11-1 and 15-1 | |

Week 16 | |||

12/9 | Presentations | ||

12/13 | Final Exam (3:30-5:30) |