Professor:
Dr.
Janet Vassilev

Office: SMLC 324

Office
Hours: TR 10:15-11:00 am, TR 1-1:45 pm
and by
appointment.

Telephone:
(505) 277-2214

email: jvassil@math.unm.edu

webpage:
**http://www.math.unm.edu/~jvassil**

Date | Section | Topic | Homework |

1/16 | 10.4 | Tensor Products | |

1/18 | 10.5 | Exact Sequences/Projective Modules | 10.4 3, 6, 7, 12, 16, 17, 21 10.5 1, 2 |

1/23 | 10.5 | Injective Modules | |

1/25 | 10.5 | Flat Modules | 10.5 3, 4, 6, 7, 11, 15 |

1/30 | 11.3 | Dual Vector Spaces | |

2/1 | 11.5 | Tensor Algebras | 10.5 5, 21, 22, 25 11.3 3, 4 11.5 1, 13 |

2/6 | 11.5 | Tensor Algebras | |

2/8 | 12.1/12.2 | Fundamental Theorem of f.g. Modules over PIDs/Rational Canonical Form | 11.5 7, 8, 12 12.1 5, 9, 16, 21, 22 |

2/13 | 12.2 | Rational Canonical Form continued | |

2/15 | 12.3 | Jordan Canonical Form | 12.2 4, 9, 10, 11, 14, 16, 18 |

2/20 | 12.3 | Jordan Canonical Form | |

2/22 | 13.1 | Field Extensions/Exam Review | 12.3 5, 7, 9, 18, 21, 37 |

2/27 | Midterm 1 | ||

3/1 | 13.1 | Field Extensions | 13.1 1, 3, 4, 6, 7 |

3/6 | 13.2 | Algebraic Extensions | |

3/8 | 13.4 | Splitting Fields | 13.2 3, 4, 7, 9, 11, 14, 16, 17, 22 |

3/20 | 13.4-13.5 | Algebraic Closures and Separable Extensions | |

3/22 | 13.6,14.1 | Cyclotomic Extensions and Field Automorphisms | 13.4 2, 3, 6 13.5 2, 3, 5, 7, 11 |

3/27 | 14.2 | Fundamental Theorem of Galois Theory | |

3/29 | 14.2 | Fundamental Theorem of Galois Theory continued | 13.6 4, 6, 9 14.1 1, 6, 8 14.2 3, 4, 5 |

4/3 | 14.3 | Finite Fields | |

4/5 | 14.4 | Composite and Simple Extensions | 14.2 6, 7, 14, 17, 18 |

4/10 | 14.5,14.6 | Abelian Extensions/Galois Groups of Polynomials | |

4/12 | 14.6 | Galois Groups of Polynomials/Exam Review | |

4/17 | Midterm 2 | ||

4/19 | 14.7 | Solvable and Radical Extensions | |

4/24 | 14.8 | Computation of Galois groups over the rationals | |

4/26 | 14.9 | Transcendental Extensions | |

5/1 | Review for Final | ||

5/3 | Review for Final | ||

5/8 | Final Exam 12:30-2:30 pm (tentative) |