Evans 3, Tuesdays and Thursdays from 14:00-15:30

Tuesdays and Thursdays from 11.00-12.00 am Evans Hall 859

If you have any questions about the course and matherial please come see me.

Please email me and ask for appointment if the office hours time is not convenient for you.

John Fraleigh, A fist course in Abstract Algebra, 7th edtition

David Dummit, *Abstract Algebra*

**Grading**: 30% Homework, 30% Midterms, 40% Final.

GSI:

Justin Chen will be helping with questions and proble solving

Monday-Friday 1-3pm at Evans 732.

There will be one homework every one or two weeks. They will be posted on this page together with the due date. Late homework will not be accepted under any circumstance. However, your two lowest homework grades will not be included in the final grade calculation. Discussing of the problems with other students is encouraged.

There will be two midterm exams on February 28 and April 18. The midterms will be in class. The final exam is on May 8, 11:30 am - 2:30 pm at Evans 3. In the case of a fire alarm during either of the midterms or the final exam, leave your exams in the room, face down, before evacuating. Under no circumstances should you take the exam with you.

If you have a documented disability and require special accommodations of any kind, please e-mail me as soon as possible, and no later than February 2.

Numbers in the reading section correspond to John Fraleigh, 7th edtition.

# | Date | Topic | Readings | Hw | Notes |

1 | 1/17 | Introduction, sets, functions, relations | Section 0 | HW1 Out | |

2 | 1/19 | Introduction, sets, functions, relations | Section 0 | ?? | |

3 | 1/24 | Binary operations | Section 1 | HW2 Out, HW 1 Due | |

4 | 1/26 | Isomorphisms | Section 2 | ||

5 | 1/31 | Groups | Section 4 | HW3 Out, HW 2 Due | |

6 | 2/2 | Subgroups | Section 5-6 | ||

7 | 2/7 | Permutations and orbits | Section 6, 8 | HW4 Out, HW 3 Due | |

8 | 2/9 | Section 9,10 | |||

9 | 2/14 | More about permutations. | Section 9,10 | ||

9 | 2/16 | Direct product. Finitely generated abelian groups. | Section 11 | HW5 Out | |

10 | 2/21 | Homomorphisms. Normal subgroups. Quotients. | Section 13, 14 | ||

11 | 2/23 | Midterm review | Section 1-14 | ||

12 | 2/28 | Midterm 1 | Sections 1-14 | ||

13 | 3/2 | Conjugation. Normal subgroups. Quotients. | 14-15 | HW6 Out | |

14 | 3/7 | Group actions and Burnside's formula. | 16-17 | ||

15 | 3/9 | Rings and fields. Basic examples. | 18 | HW 6 Due HW7 Out | |

16 | 3/14 | Integral domains. | 19 | ||

17 | 3/16 | Quotient field of an integral domain. | 21 | HW 7 Due HW8 Out | |

18 | 3/21 | Rings of polynomials. | 22 | ||

19 | 3/23 | Factorization of polynomials over a field | 23,45,46 | HW 8 Due | |

20 | 3/28 | Springbreak | |||

21 | 3/30 | Springbreak | |||

22 | 4/4 | UFD, PID | 45 | HW9 Out | |

23 | 4/6 | Euclidean Domains | 46 | ||

24 | 4/11 | Homomorphisms and factorrings | 26 | HW9 Due | |

25 | 4/13 | Prime and maximal ideals | 27 | HW10 Out | |

26 | 4/18 | Midterm 2 | 18, 19, 21, 22, 23, 26, 27 | ||

27 | 4/20 | Fileds extensions, vector spaces | 29,30 | ||

28 | 4/25 | Algebraic extensions | 31 | HW10 Due; | |

29 | 4/27 | Geometric constructions | 32 | ||

30 | 5/2 | Finite fields | 33 | ||

31 | 5/4 | Grobner Bases for Ideals | 28 |