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 |
---|---|---|

9/26 | 0.1 | Equivalence Relations and Partitions |

9/28 | 0.3 | The definition of Z/nZ |

10/1 | 1.1 | Definition of groups; examples; begin dihedral group |

10/3 | 1.2 - 1.3 | Dihedral and Symmetric groups |

10/5 | 1.4 - 1.5, start 1.6 | Matrix groups, Quaternions, Isomorphism |

10/8 | 1.6, 2.1 | Homomorphisms and subgroups |

10/10 | 2.1 | Subgroups |

10/12 | 2.3 | Cyclic groups |

10/15 | 2.4, 3.1 | Subgroups generated by a set; cosets |

10/17 | 3.1, 3.2 | Cosets and homomorphisms |

10/19 | 3.2 | More on cosets and Lagrange's theorem |

10/22 | 3.3, 3.5 | First Isomorphism theorem, the alternating group |

10/24 | 1.7, 4.1, 4.2 | Group actions and Cayley's theorem |

10/26 | 4.2 | Group Actions continued |

10/29 | 4.3, 3.4 | Groups acting by conjugations; the class equation; Holder program |

10/31 | 4.5, 5.2, 5.4 | Sylow theorems; Recognizing direct products; applications of Sylow theorems; fundamental theorem of finite abelian groups |

11/2 | 5.2, 7.1 | Fundamental theorem of finite abelian groups; Rings (basic definitions and examples) |

11/5 | 7.2, 7.3 | Polynomial Rings; homomorphism |

11/7 | 7.3 | Homomophisms; quotient rings |

11/9 | 7.4 | Quotient Rings and properties of ideals |

11/12 | 8.1, 9.1 | Euclidean Domains; Polynomial rings |

11/14 | 8.2, 9.2 | PIDs |

11/16 | 8.3 | gcds, irreducibles, primes |

11/19 | 8.3 | Unique Factorization Domains |

11/21 | Thanksgiving break: 11/21 - 11/25 | |

11/26 | 9.3 | Gauss' lemma and consequences |

11/28 | 9.4 | Irreducibility criteria |

11/30 | 9.4 | Extension Fields |

12/3 | Wrap it up |

Thomas R. Shemanske

Last updated June 25, 2009 14:49:08 EDT