Section 1: GPB 107, Tuesdays and Thursdays from 12:30-14:00 Section 2: Hearst Mining 310, Tuesdays and Thursdays 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

Tuesday: 11 am - 3 pm; Wednesday: 2 pm - 7 pm; Friday: 11 am - 12 pm; All office hours are held in 959 Evans.

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 September 26 and ??. The midterms will be in class. The final exam is Section 003: 12/11/2017, 11:30AM-2:30PM, Hearst Mining 310; Section 007: 12/14/2017, 3:00PM-6:PM, Genetics & Plant Bio 107; 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 September 15.

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

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

1 | 8/24 | Introduction, sets, functions, relations | Section 0 | HW1 Out | |

2 | 8/28 | Binary operations | Section 1 | ||

3 | 8/31 | Isomorphisms | Section 2 | HW2 Out, HW 1 Due | |

4 | 9/5 | Cyclic Groups | Section 5,6 | ||

5 | 9/7 | Permutations | Section 8,9 | HW3 Out, HW 2 Due | |

6 | 9/11 | Permutations and orbits | Section 8,9 | ||

7 | 9/14 | Cosets and orbits | Section 9, 10 | HW4 Out, HW 3 Due | |

8 | 9/19 | Direct product. Finitely generated abelian groups. | Section 11 | ||

9 | 9/21 | Direct product. Finitely generated abelian groups. | Section 11 | HW5 Out, HW 4 Due | |

9 | 9/26 | Midterm 1 | Sections 1-11 | ||

10 | 9/28 | Homomorphisms. Normal subgroups. Quotients. | Section 13, 14 | HW6 Out, HW 5 Due | |

11 | 10/3 | Rings and fields. Basic examples. | Section 18 | ||

11 | 10/5 | Rings and fields. Basic examples. | Section 18 | HW7 Out, HW 6 Due | |

12 | 10/10 | Integral domains. | Section 19 | ||

12 | 10/12 | Integral domains. | Section 19 | HW8 Out, Hw 7 Due | |

13 | 10/17 | Fermat's and Euler's theorems | Section 20 | ||

14 | 10/19 | Quotient field of an integral domain. | Section 21 | HW9 Out, Hw 8 Due | |

15 | 10/24 | Rings of polynomials. | Section 22 | ||

16 | 10/26 | Factorization of polynomials over a field | Section 23 | HW10 Out, Hw 9 Due | |

17 | 10/31 | Homomorphisms and factorrings | Section 26 | ||

18 | 11/2 | Prime and maximal ideals | Section 27 | HW11 Out, Hw 10 Due | |

19 | 11/7 | Midterm2 | Sections 18-23, 26,27 | ||

20 | 11/9 | Extension Fields | Section 29 | No homework, Hw 11 Due | |

21 | 11/14 | Vector Spaces, Algebraic extensions | Sections 30, 31 | ||

22 | 11/16 | extensions fields | Section 29 | HW12 Out | |

23 | 11/21 | algebraic extensions | Section 31 | ||

24 | 11/23 | No class | No class | ||

25 | 11/28 | finite fileds | Section 31 | Hw12 Due | |

26 | 11/30 | finite fileds | Sections 33 |