Lecture 1: | What is Math 124? (Sept 12) |

Lecture 2: | Prime Factorization (Sept 14) |

Lecture 3: | Computing and PARI (Sept 17) |

Lecture 4: | The Sequence of Prime Numbers (Sept 19) |

Lecture 5: | Congruences, part I (Sept 21) |

Lecture 6: | Congruences, part II (Sept 24) |

Lecture 7: | Congruences, part III (Sept 26) |

Lecture 8: | Crypto I: Diffie-Hellman Key Exchange (Sept 28) |

Lecture 9: | RSA I (Oct 1) |

Lecture 10: | RSA II (Oct 3) |

Lecture 11: | Primitive Roots (Oct 5) |

Lecture 12: | Quadratic Reciprocity I (Oct 10) |

Lecture 13: | Quadratic Reciprocity II (Oct 12) |

Lecture 14: | Midterm Review(Oct 15) |

Lecture 15: | Midterm (Oct 17) |

Lecture 16: | Programming in PARI II (Oct 19) |

Lecture 17: | Continued Fractions I (Oct 22) |

Lecture 18: | Continued Fractions II (Oct 24) |

Lecture 19: | Continued Fractions III (Oct 26) |

Lecture 20: | Continued Fractions IV (Oct 29) |

Lecture 21: | Quadratic Forms I: Sums of Two Squares (Oct 31) |

Lecture 22: | Quadratic Forms II: Basic Notions (Nov 2) |

Lecture 23: | Quadratic Forms III: Representation and Reduction (Nov 5) |

Lecture 24: | Quadratic Forms IV: Class Numbers (Nov 7) |

Lecture 25: | Elliptic Curves I: Intro (Nov 9) |

Lecture 26: | Elliptic Curves II: The Group (Nov 14) |

Lecture 27: | Elliptic Curves III: Torsion! (Nov 16) |

Lecture 28: | Elliptic Curves IV: Computing (Nov 19) |

Lecture 29: | Elliptic Curve Cryptography (Nov 21) |

Lecture 30: | Elliptic Curve Factorization, I (Nov 26) |

Lecture 31: | Elliptic Curve Factorization, II (Nov 28) |

Lecture 32: | Fermat's Last Theorem and Modularity of Elliptic Curves (Nov 30) |

Lecture 33: | An Introduction to the Congruent Number Problem (Dec 3) |

Lecture 34: | The Birch and Swinnerton-Dyer Conjecture, Part 1 (Dec 5) |

Lecture 35: | The Birch and Swinnerton-Dyer Conjecture, Part 2 (Dec 5) |

Lecture 36: | The Birch and Swinnerton-Dyer Conjecture, Part 3: Evidence (Dec 10) |

Lecture 37: | Final Review (Dec 12) |