Winter 2008

Last updated June 24 2010 10:49:58

General Information | Syllabus | HW Assignments |

**Announcements:**

- Final exam to be distributed on March 7 and collected on March 12

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

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

1/7 | Ch 7 - 9 | Introduction, quotient rings and ideals |

1/9 | 13.1 | Prime and maximal ideals and quotients |

1/11 | 13.1 | Characteristic, prime fields, finite extensions |

1/14 | 13.1, 13.2 | Finite extensions; simple extensions |

1/16 | 13.2 | Algebraic Extensions |

1/18 | 13.2 | Algebraic Extensions |

1/21 | No Class: Martin Luther King Day | |

1/23 | 13.2 | Algebraic Extensions |

1/24 (x-hour) | 13.3 | Compass and Straightedge constructions |

1/25 | 13.4, 13.6 | Splitting Fields, cyclotomic polynomials |

1/28 | 13.4, 13.6 | Algebraic Closures and uniqueness |

1/30 | 13.4. 13.6 | Algebraic Closures and uniqueness |

2/1 | 13.5 | Separable and Inseparable Extensions |

2/4 | 13.5 | Automorphism groups of fields |

2/6 | 14.1 | Fixed fields and automorphism groups |

2/7 (x-hour) | 14.1 | Fixed fields and automorphism groups |

2/8 | 14.2 | Carnival Holiday |

2/11 | 14.2 | Fundamental Theorem of Galois Theory |

2/11 | Midterm Exam distributed (due 2/15) | |

2/13 | 14.2 | Fundamental Theorem of Galois Theory |

2/15 | 14.2 | Fundamental Theorem of Galois Theory |

2/18 | 14.2 | Fundamental Theorem of Galois Theory |

2/20 | 14.2 | Fundamental Theorem of Galois Theory |

2/22 | 14.3, 14.4 | Finite Fields, Composite Extensions |

2/25 | 14.4 | Composite and Simple extensions |

2/27 | 14.5 | Cyclotomic and abelian extensions |

2/29 | 14.5 | Finite abelian groups are galois groups |

3/3 | 14.6 | Galois groups of polynomials |

3/5 | 14.7 | Galois groups of polynomials |

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