** Date ** | **Topics Covered ** |

W Sep 6 | Reviewed rings and ideals (Chapter III) |

F Sep 8 | Definitions of categories, modules and submodules |

M Sep 11 | Homomorphisms, Hom, and quotient modules |

W Sep 13 | Module Isomorphism Theorems |

F Sep 15 | Generators of modules |

M Sep 18 | Exact Sequences |

W Sep 20 | Split exact sequences |

F Sep 22 | Free modules |

M Sep 25 | More on free modules |

W Sep 27 | vector spaces: free modules over division rings |

F Sep 29 | Started discussin on rank |

M Oct 2 | Rank of free modules over division rings |

W Oct 4 | Invariant rank property |

F Oct 6 | Noetherian modules, Torsion modules |

M Oct 9 | THANKSGIVING-- NO CLASS |

W Oct 11 | Modules over PIDs |

F Oct 13 | Modules over PIDs |

M Oct 16 | Modules over PIDs |

W Oct 18 | Modules over PIDs |

F Oct 20 | Modules over PIDs |

M Oct 23 | MIDTERM |

W Oct 25 | Projective modules |

F Oct 27 | Projective modules and injective modules |

M Oct 30 | Baer's criterion and divisible modules |

T Oct 31 | [LAST DAY TO DROP WITH W] NO CLASS |

W Nov 1 | Injective modules |

F Nov 3 | Every module over a ring with identity is contained in an injective one |

M Nov 6 | STUDY BREAK -- NO CLASS |

W Nov 8 | STUDY BREAK -- NO CLASS |

F Nov 10 | STUDY BREAK -- NO CLASS |

M Nov 13 | REMEMBRANCE DAY -- NO CLASS |

W Nov 15 | Hom is left exact |

F Nov 17 | Special cases when Hom is also right exact; bimodules |

M Nov 20 | Duality |

W Nov 22 | Reflexive modules |

F Nov 24 | Tensor products of modules |

M Nov 27 | Module structure on tensor products |

W Nov 29 | |

F Dec 1 | |

M Dec 4 | |

T Dec 5 | LAST DAY -- MONDAY SCHEDULE |