# Aaron Montgomery

Winter 2019

MATH 462

## Links

## Schedule

Dec 31 No Class |
Jan 1 No Class |
Jan 2 No Class |
Jan 3Rings & Fields (§18) |
Jan 4Rings & Fields (§18) |

Jan 7Presentations Meet & Join (§18) |
Jan 8Integral Domains (§19) |
Jan 9 No Class |
Jan 10Characteristics (§19) |
Jan 11Number Theory (§20) HW #1 Due |

Jan 14Presentations |
Jan 15Quotient Fields (§21) Polynomials (§22) |
Jan 16 No Class |
Jan 17Polynomials (§22) |
Jan 18Homomorphisms (§26) HW #2 Due |

Jan 21 No Class: MLK Jr Day |
Jan 22Presentations Rewrite 1 |
Jan 23 No Class |
Jan 24Homomorphisms (§26) Ideals (§27) |
Jan 25Factorization (§45+) HW #3 Due |

Jan 28Presentations |
Jan 29Factorizations (§45+) Rewrite 2 |
Jan 30 No Class |
Jan 31Factorizations (§45+) Polynomials (§23) |
Feb 1Polynomials (§23) HW #4 Due |

Feb 4Presentations Rewrite 3 |
Feb 5Extension Fields (§29) |
Feb 6 No Class |
Feb 7Category Theory |
Feb 8Exam 1 |

Feb 11Simplices (§41) Rewrite 4 |
Feb 12Boundary Operator (§41) |
Feb 13 No Class |
Feb 14Homology Groups (§41) |
Feb 15Homology Groups (§41) |

Feb 18 No Class: My Birthday |
Feb 19Homology Groups (§41) HW #5 Due |
Feb 20 No Class |
Feb 21Homology Groups (§42) |
Feb 22Brouwer's FP Theorem Fields HW #6 Due |

Feb 25Field Theory |
Feb 26Field Theory |
Feb 27 No Class |
Feb 28 |
Mar 1HW #7 Due |

Mar 4Rewrite 5Rewrite 6 |
Mar 5 |
Mar 6 No Class |
Mar 7 |
Mar 8 |

## Homework

- #1: Due Fri, Jan 11
- Homework 1
- #2: Due Fri, Jan 18
- Homework 2
- #3: Due Fri, Jan 25
- Homework 3
- #4: Due Fri, Feb 1
- Homework 4
- #5: Due Tue, Feb 19
- Section 41: 2, 4, 5
- #6: Due Fri, Feb 22
- Section 42: 1, 2, 4
- #7: Due Fri, Mar 1
- Homework 7