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Meeting Time: | MWF, 11:00 - 11:50 |
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Location: | Jones 307 |

Instructor: | Ryan Vinroot Office: Jones 130 Office Hours: Mon 1-2, Tues 9-10, and Thurs 3-4:30, or by appointment/walk-in. |

Textbook: | A First Course in Abstract Algebra, Seventh Edition, by John B. Fraleigh |

Grade Breakdown: | 1 Midterm Exam - 30%, Homework - 30%, Final Exam - 40%. The grading scale will roughly be a 10 percentage point scale, so that a final score of 90% is in the A range, a score of 80% is in the B range, etc. |

Prerequisite: | Math 307 - Abstract Algebra I. |

Final Exam | Mon, May 9 | 9-12 | Jones 307 |

- All relevant announcements will be listed here. Check back frequently (don't forget to refresh your browser) for updates.
- Important Dates and Class Holidays:
- Sat, Mar 5 - Sun, Mar 15: NO CLASS (Spring Break)
- Mon, May 9: FINAL EXAM

- I am still figuring out when my regular office hours will be for the semester, but for this first short week, I will be available in my office (Jones 130) on Wed. 1/19 and Thurs. 1/20 from 3:00 until 4:45.
- Here is a pdf of some notes on Group Actions. There is some material in these notes which is not in Section 16 of Fraleigh, and likewise, some material in Section 16 of Fraleigh which is not in these notes.
- (1/31) My office hours on Tues, Feb 1, will be 10:30-11:30 instead of 9-10. All other office hours this week will remain the same as usual.
- Here are some notes on the conjugacy classes of symmetric groups. Use them as a guide if you get stuck on Problem 8 in Section 37 of the homework.
- Here are some notes on the commutator subgroup of a group. The notes contain the proofs of the statements which are applied in Example 37.15 in the text. These methods can be applied to solve Problem 4 in Section 37 on the homework.
- (2/14) My office hours today, Mon Feb 14, will be 1:30-2:30 instead of 1-2.
- (2/25) Here is a link for an article about the axioms which define a Euclidean domain. You must be either on campus ethernet, or logged in remotely through Swem to view it. It is only two pages, so take the time to read it and understand it.
- (2/25) The midterm will have an in-class part, which will be on Fri Mar 1, and a take-home part, which will be given to you on Mon Mar 14, and due on Mon Mar 21. The in-class portion will cover material through Wed Feb 23, and the take-home part will cover material up to the day you get it.
- (3/2) I will not have office hours tomorrow, Thurs Mar 3, but I will have office hours today, Wed Mar 2, 2:30-3:30. Please come if you have any questions before the in-class midterm on Fri Mar 4.
- (4/25) EXTRA OFFICE HOURS: I will have extra office hours for help on the last homework today, Mon Apr 25, 4-5 PM, and tomorrow, Tues Apr 26, 2:30-4 PM.

Assignment |
Problems |
Due Date |

1 | Sec. 34 #3, 5, 7, 8 Sec. 16 #9, 11 |
Fri, Jan 28 |

2 | Sec. 36 #16, 19, 20 Sec. 37 #4, 5, 6, 7, 8 |
Fri, Feb 11 |

3 | Sec. 22 #24, 25, Sec. 23 #34, 35, Sec. 26 #22 If R is a ring with no zero divisors, f(x) and g(x) are nonzero elements of R[x], then show deg(f(x)g(x)) = deg(f(x)) + deg(g(x)). |
Fri, Feb 25 |

4 | Sec. 46 #12, 15, 16 Sec. 47 #15, 16, 18 This problem: pdf. |
Fri, Apr 1 |

5 | Sec. 29 #29, 30, 31 Sec. 31 #24, 28, 29, 30 |
Fri, Apr 15 |

6 | Sec. 32 #5, Sec. 50 #18, 24 Sec. 33 #10, 11, 12, 13 |
Tues, Apr 26 5 PM, my office |

There are several opportunities for undergraduates through the William &
Mary mathematics department, including research in mathematics. If you are
interested, feel free to ask me or someone else in the Mathematics department
about these opportunities. General information is available here.