Last updated May 31, 2008 12:24:47 EDT

General Information | Syllabus | HW Assignments |

On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

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

1/6 | Introduction | |

1/9 (x-hour) | 7.5, 15.4 | Localization and field of fractions |

1/10 | 13.1 | Localization, characteristic, prime fields |

1/13 | 13.1, 13.2 | Finite extensions; simple extensions |

1/15 | 13.2 | Algebraic Extensions |

1/17 | 13.2 | Algebraic Extensions |

1/20 | No Class: Martin Luther King Day | |

1/22 | 13.2, 13.3 | Compass and Straightedge constructions |

1/23 (x-hour) | 13.3, 13.4 | Splitting Fields |

1/24 | 13.4, 13.6 | Splitting Fields, cyclotomic polynomials |

1/27 | 13.4, 13.6 | Algebraic Closures and uniqueness |

1/29 | 13.5 | Separable and Inseparable Extensions |

1/31 | 13.5 | Separable and Inseparable Extensions |

2/3 | 14.1 | Automorphism groups of fields |

2/3 | Approximate Date of Midterm Exam | |

2/5 | 14.1 | Fixed fields and automorphism groups |

2/6 (x-hour) | 14.1 | Fixed fields and automorphism groups |

2/10 | 14.2 | Fundamental Theorem of Galois Theory |

2/12 | 14.2 | Fundamental Theorem of Galois Theory |

2/14 | 14.2 | Fundamental Theorem of Galois Theory |

2/17 | 14.2 | Fundamental Theorem of Galois Theory |

2/19 | 14.2 | Fundamental Theorem of Galois Theory |

2/21 | 14.3, 14.4 | Finite Fields, Composite Extensions |

2/24 | 14.4 | Composite and Simple extensions |

2/26 | 14.5 | Cyclotomic and abelian extensions |

2/28 | 14.5 | Finite abelian groups are galois groups |

3/3 | 14.6 | Galois groups of polynomials |

3/5 | 14.6 | Galois groups of polynomials |

3/7 | 14.6 | Galois groups of polynomials: degrees 2, 3, 4 |