MATH 60210 BASIC ALGEBRA, FALL 2018

Course Information

Instructor: Sam Evens 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.

• Course syllabus pdf file

  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 file
• Notes on linear algebra over an integral domain, used in proof of classification of submodules of free finitely generated modules over a principal ideal domain, pdf file
• Notes on free groups by A. Myasnikov, pdf file
• Notes on proof that a principal ideal domain is a unique factorization domain, for use in section 2.6 of the text, pdf file
• Notes on content of polynomials, for use in section 2.9 of the text, pdf file

  Exams :

  • Midterm, Friday, September 28.
  • Final is Tuesday, December 11, 8:00--10:00 am, location TBA, time flexible.
• Study problems for Exam 1, pdf file

  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

  • Homework 1, Wed. 8-29, pdf file
  • Homework 2, Wed. 9-5, pdf file
  • Homework 3, Wed. 9-12, pdf file
  • Homework 4, Wed. 9-19, pdf file
  • Homework 5, Fri. 10-5, pdf file
  • Homework 6, Wed. 10-10, pdf file
  • Homework 7, Wed. 10-24, pdf file
  • Homework 8, Wed. 10-31, pdf file
  • Homework 9, Wed. 11-7, pdf file
  • Homework 10, Wed. 11-14, pdf file
  • Homework 11, Wed. 11-28, pdf file
  • Homework 12, Wed. 12-5, pdf file

  ---