Course Information
Class Time: MWF 12:50--1:40, HH 229.
Instructor: Sam Evens, email is sevens at nd.edu
Office Hours: M 11:45--12:40 HH 222, W 2:00--2:50, HH 222, and by appointment. You may email me or call (631-7165) to set up appointments. If I am in my office, feel free to knock on the door and see if I am available. You can also ask questions before, after, or during class.
Texts:
Web textbook: Robert B. Ash, Abstract Algebra: The Basic Graduate year. Web Text at http://www.math.uiuc.edu/~r-ash/
Serge Lang, Algebra, Revised 3rd edition, Springer-Verlag, on reserve
Michael Artin, Algebra , Prentice Hall, on reserve
D. Dummit and R. Foote, Abstract Algebra, Prentice Hall, on reserve.
J. P. Serre, "Groupes finis" (in French) http://front.math.ucdavis.edu/0503.5154
Notes:
Notes on subgroups of the general linear group, and the action of the general linear group on Grassmannians and flag spaces, pdf
Notes used in proof of classification of submodules of free finitely generated modules over a principal ideal domain, pdf
Notes on free groups by A. Myasnikov, pdf
Notes on proof that a principal ideal domain is a unique factorization domain, for use in section 2.6 of the text, pdf
Notes on content of polynomials, for use in section 2.9 of the text, pdf
Exams :
Midterm, Wednesday, October 16, in class with take-home portion.
Final is Wednesday, December 18, 8:00--10:00 am, HH 229, time negotiable.
Homework: There will be homework assigned most weeks. It will be due Wednesdays, but if you need to ask me questions or want an extra day or two to finish work, you can turn it in by the start of class Friday with no penalty. After that, homework will be deemed late. If you have one or two late assignments during the semester, there will be no penalty, but you will be penalized if you have more than two late homework assignments. Homework should be written up separately by individual students, although talking to people about problems together is certainly encouraged. Homework will be announced in-class and posted on the course website
Assignments: Assignments with a date at the end are due on the date specified. Assignments are either handouts or from Dummit and Foote or Ash
Problem Set 1 due Wednesday September 4
Problem Set 2 due Wednesday September 11
Problem Set 3 due Wednesday September 18
Problem Set 4 due Wednesday September 25
Problem Set 5 due Wednesday October 2
Problem Set 6 due Wednesday October 9
Problem Set 7 due Wednesday November 6
Problem Set 8 due Wednesday November 13
Problem Set 9 due Wednesday November 20
Problem Set 10 due Wednesday December 4
Problem Set 11 due Wednesday December 11