Week 1 |
Section(s) |
Description |
Assigned Reading |
Assigned Problems |

9/16 | 0.2,0.3 | Definition of Z/nZ, Division Alg | 0.1-0.3 | Do problems 1,2 of Homework#1 |

9/18 | 0.1 | Equivalence Relations and Partitions | 1.1 | Do problems 3,4 of Homework#1 |

9/20 | 1.1 | Definition of groups; examples; begin Dihedral group | 1.2-1.3 | Do problems 5-8 of Homework#1 |

Week 2 |
Section(s) |
Description |
Assigned Reading |
Assigned Problems |

9/23 | 1.2,1.3 | Dihedral and Symmetric groups | 1.4-1.5 | Do problems 1-3 of Homework#2 |

9/25 | 1.4,1.5 | Symmetric Group, Matrix groups, Quaternions | 1.6 | Do problems 4-7 of Homework#2 |

9/27 | 1.6,2.1 | Homomorphisms | 2.1 | Do problems 8-11 of Homework#2 |

Week 3 |
Section(s) |
Description |
Assigned Reading |
Assigned Problems |

9/30 | 2.1 | Subgroups | 2.3 | Do problems 1-4 of Homework#3 |

10/2 | 2.3 | Cyclic Groups | 2.4 | Do problems 5-8 of Homework#3 |

10/4 | 2.4 | Cyclic Groups, Subgroups generated by a set | 3.1,3.2 | Continue working on Homework#3 |

Week 4 |
Section(s) |
Description |
Assigned Reading |
Assigned Problems |

10/7 | 3.1,3.2 | Cosets and Homomorphisms | 3.2 | Do problems 1-4 of Homework#4 |

10/9 | 3.2 | More on cosets and Lagrange's Theorem | 3.3 | Do problems 4-8 of Homework#4 |

10/10 | Midterm #1 |
in-class portion; take-home due Friday at beginning of class | Midterm 1 Solutions | |

10/11 | 3.3 | Isomorphism Theorems | 3.3,3.4 | Continue working on Homework#4 |

Week 5 |
Section(s) |
Description |
Assigned Reading |
Assigned Problems |

10/14 | 3.3,3.4 | Isomorphism and the Holder Program | 3.5,1.7,4.1 | Do problems 1-5 of Homework#5 |

10/16 | 3.5,1.7,4.1 | Alternating Group, Group Actions, Cayley's Theorem | 4.2,4.3 | Do problems 6-8 of Homework#5 |

10/18 | 4.2,4.3 | Group Actions, Class Equation | 4.5,5.2,5.4 | Do problems 10-12 of Homework#5 |

Week 6 |
Section(s) |
Description |
Assigned Reading |
Assigned Problems |

10/21 | 4.5,5.2,5.4 | Sylow Theorems, Recognizing Direct Products, Fundamental Theorem | 5.2,7.1 | Do problems 1-3 of Homework#6 |

10/23 | 5.2 | Fundamental Theorem | 7.1,7.2 | Do problems 4,5 of Homework#6 |

10/25 | 7.1,7.2 | Rings, Polynomial Rings | 7.3 | Do problems 6-9 of Homework#6 |

Week 7 |
Section(s) |
Description |
Assigned Reading |
Assigned Problems |

10/28 | 7.3 | Homomorphisms, Quotient Rings | 7.4 | Do problems 1,3,4 of Homework#7 |

10/30 | 7.4 | Quotient Rings and Properties of Ideals | 7.4,8.1 | Do problems 2,5,6 of Homework#7 |

10/31 | Midterm #2 |
in-class portion; take-home due Saturday at 10:00am | ||

11/1 | 7.4 | Maximal Ideals | 8.1,9.1 | Do problems 7,8 of Homework#7 |

Week 8 |
Section(s) |
Description |
Assigned Reading |
Assigned Problems |

11/4 | 8.1,9.1 | Euclidean Domains, Polynomial Rings | 8.2,9.2 | |

11/6 | 8.2,9.2 | PIDs | 8.3 | Do problems 1-4 of Homework#8 |

11/8 | 8.3 | gcds, irreducibles, primes | 8.3 | Do problems 5,6,7 of Homework#8 |

Week 9 |
Section(s) |
Description |
Assigned Reading |
Assigned Problems |

11/11 | 8.3 | UFDs | 9.3 | Start looking at Homework#9 |

11/13 | 9.3 | Gauss' Lemma and Consequences | 9.4 | Continue working on Homework#9 |

11/15 | 9.4 | Irreducibility Criteria | 9.4 | Continue working on Homework#9 |

Week 10 |
Section(s) |
Description |
Assigned Reading |
Assigned Problems |

11/18 | 9.4 | Extension Fields |