Wednesday, 9/2 | Intro to the course, discussion of syllabus, review of Math 243 (Ch. 0 in Gallian) |

Friday, 9/4 | Continuation of Chapter 0 of Gallian. Read: Chapter 0, pp. 4-20 (Examples 5 and 6 are not required reading -- though they're cool) |

Monday, 9/7 | More of Chapter 0 of Gallian (functions). Beginning of Chapter 1. |

Wednesday, 9/9 | Chapter 1: Introduction to Groups. Chapter 2: Groups. Read: Chapter 1. |

Thursday, 9/10 | HW #1 due: Chapter 0, #3, 14, 22, 23, 28, 29. Chapter 1, #2, 3, 22 |

Friday, 9/11 | Chapter 2: Groups (Examples of Groups). Read: pp. 43-53 |

Monday, 9/14 | Chapter 2 (basic properties of groups). Then start on Chapter 3, covering subgroup tests. Read: pp. 59-67 |

Wednesday, 9/16 | More Chapter 3. |

Thursday, 9/17 | HW #2 due: Chapter 2, #6, 8, 9 (Hint: use the gcd), 11, 14, 18, 26, 34, 36. Chapter 3, #10, 16, 20, 28, 36 |

Friday, 9/18 | Finish Chapter 3, start on Chapter 4 (cyclic groups. ) Read: pp. 73-82. |

Monday, 9/21 | Cyclic Groups (Chapter 4). |

Wednesday, 9/23 | Cyclic Groups (Chapter 4). Start of Permutation Groups (Chapter 5) if time, |

Thursday, 9/24 | HW #3 due: Chapter 2, Computer exercise #2 (click here for the relevant software). Chapter 3, #51, 52. Chapter 4, #8, 10, 22, 35, 36, 42, Computer Exercise #1. Supplementary Exercises for Chapters 1-4: #5, 34. |

Friday, 9/25 | Fundamental Theorem of Cyclic Groups (Chapter 4). |

Monday, 9/28 | Permutation Groups (Chapter 5). Read: pp. 94-102 |

Wednesday, 9/30 | Permutation Groups (Chapter 5) Read: pp. 95-111 |

Thursday, 10/1 | HW #4 due: Chapter 4, #37, 46, 52. Supplementary Exercises for Chapters 1-4: #1, 12, 18. Chapter 5, #2, 4, 18, 24, 38 |

Friday, 10/2 | Permutation Groups (Chapter 5) |

Monday, 10/5 | Finish Permutation Groups (Chapter 5), start on Isomorphisms (Chapter 6). |

Wednesday, 10/7 | Isomorphisms (Chapter 6) |

Friday, 10/9 | Ismorphisms (Chapter 6). HW #5 due: Chapter 5, #22, 25, 26, 30, 37, 50, 52, 55. Chapter 6, #4, 10, 23, 26 |

Monday, 10/12 | No class -- Fall break |

Wednesday, 10/14 | Isomorphisms (Chapter 6), |

Friday, 10/16 | HW #6 due (this is designed to give you some problems on new material, and also help you review for the exam on Monday, 10/19): Chapter 6, #16, 22, 30, 40. Chapter 5, #9, 46. Chapter 4, #23, 34. Chapter 3, #13, 14. Chapter 2, #20, 26. |

Monday, 10/19 | In class: review. Midterm #1 7:30-9:00 pm, usual classroom. |

Wednesday, 10/21 | Applications of Lagrange's Theorem (Chapter 7) |

Friday, 10/23 | More applications of Lagrange's Theorem (Chapter 7). Direct Products (Chapter 8). HW #7 due: Chapter 7, #7, 14, 26 |

Monday, 10/26 | Direct Products (Chapter 8) |

Wednesday, 10/28 | Direct Products (Chapter 8) |

Friday, 10/30 | Normal Subgroups and Factor Groups (Chapter 9) HW #8 due: Chapter 7, #4, 9, 20, 24, 34, 36. Chapter 8, #2, 3, 8, 10, 15, 28. |

Monday, 11/2 | Normal Subgroups and Factor Groups (Chapter 9) |

Wednesday, 11/4 | Normal Subgroups and Factor Groups (Chapter 9) |

Friday, 11/6 | Normal Subgroups and Factor Groups (Chapter 9) HW #9 due: Chapter 8, #50, 52 (Use Theorem 6.5). Chapter 9, #4, 7, 10, 11, 14, 24, 40, 44, 46. |

Monday, 11/9 | Group Homomorphisms (Chapter 10) |

Wednesday, 11/11 | Group Homomorphisms (Chapter 10) HW #10 due: Chapter 9, #32 (Hint: first show that every proper subgroup of D4 is abelian), 34, 50, 55, 66. Chapter 10, #6, 8, 9 |

Friday, 11/13 | Group Homomorphisms (Chapter 10) |

Monday, 11/16 | In Class: review Midterm #2 7:30-9:00 |

Wednesday, 11/18 | Group Homomorphisms (Chapter 10) |

Friday, 11/20 | Finite Abelian Groups (Chapter 11) HW #11 due |

Monday, 11/23 | Finite Abelian Groups (Chapter 11), The Sylow Theorems (Chapter 24) HW #11 due: Chapter 10, #16, 18, 22, 30, 36, 39, 46, 49 |

Wednesday, 11/25 | No class -- Thanksgiving |

Thursday, 11/26 | No class -- Thanksgiving |

Friday, 11/27 | No class -- Thanksgiving |

Monday, 11/30 | Finite Abelian Groups (Chapter 11), The Sylow Theorems (Chapter 24) |

Wednesday, 12/2 | The Sylow Theorems (Chapter 24) |

Friday, 12/4 | The Sylow Theorems (Chapter 24) HW #12 due: Chapter 11: # 6, 8, 10, 12, 22. Chapter 24: #4, 6, 9, 16, 30 |

Monday, 12/7 | TBA |

Friday, 12/11 | Group Project due, 5 pm |

Friday, 12/18 | Final Exam, 8:30-11:30, in Stein 202 |