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Week | Topic | Assignments |
---|---|---|

Jan. 7, 9 | Modules Intro (DF Ch. 10.1, 10.2, 10.3) | Homework 1 (.pdf, .tex, solutions), due Jan. 16 |

Jan. 14, 16 | Tensors (DF Ch. 10.4) (Worksheet) | Homework 2 (.pdf, .tex, solutions), due Jan. 23 |

Jan. 21, 23 | Exact sequences, Hom (DF Ch. 10.5) | Homework 3 (.pdf, .tex, solutions), due Jan. 31 |

Jan. 28, 30 | Tensor, symmetric, and exterior algebras (DF Ch. 11.5) | Homework 4 (.pdf, .tex, solutions), due Feb. 7 |

Feb. 4, 6 | Modules over PIDs (DF Ch. 12.1) | |

Feb. 11, 13 | Midterm I (Solutions), Structure theory (DF Ch. 12.2) | Homework 5 (.pdf, .tex, solutions), due Feb. 21 |

Feb. 18, 20 | Canonical forms, applications (DF Ch. 12.2, 12.3) (Worksheet) |
Homework 6 (.pdf, .tex, solutions), due Feb. 28 Midterm 1 revisions, due Feb. 28 |

Feb. 25, 27 | Primary decomposition (DF Ch. 15.1, 15.2) | Homework 7 (.pdf, .tex, solutions), due March 6 |

March 3, 5 | Homological algebra (DF Ch. 17.1, 17.2) | |

March 10, 12 | No class - Spring Break | |

March 17, 19 | No class - Extended Spring Break | |

March 24, 26 | Midterm II (pdf, Solutions) Homological algebra (DF Ch. 17.1) Notes: Class 3/26 | Homework 8 (.pdf, .tex, solutions), due April 3 |

March 31, April 2 | Homological algebra and cohomology of groups (DF Ch. 17.1, 17.2) Notes: Class 3/31, Class 4/02 | Homework 9 (.pdf, .tex, solutions), due April 10 |

Sat. April 4 | Representation theory basics (DF Ch. 18.1) Notes: Class 4/04 | |

April 7, 9 | Representation theory and Wedderburn's Theorem (DF Ch. 18.1,
18.2) Notes: Class 4/07, Class 4/09 | Homework 10 (.pdf, .tex, solutions), due April 17 |

April 14, 16 | Wedderburn's Theorem and character theory (DF Ch. 18.2, 18.3)
Notes: Class 4/14, Class 4/16 | Good practice problems: DF 18.2 Exercises 16, 17 DF 18.3 Exercises 2, 3, 4, 5, 9, 11, 12 |

Sat. April 18 | Character theory (DF Ch. 18.3) Notes: Class 4/18 | |

April 21, 23 | Character theory and representation theory of S_{n} (DF
18.3, 19.1) (Worksheet)Notes: Class 4/21, Class 4/23, OH 4/27 | |

April 28 | Final Exam (pdf, solutions) |