University at Buffalo

Department of Mathematics






College of Arts and Sciences

Department of Physics


Yorck Sommerhäuser


Algebra II

  • Spring semester 2015
  • Course: MTH 620
  • Instructor: Y. Sommerhäuser
  • Schedule:
    • Time: Mon, Wed, Fri 2:00 pm-2:50 pm
    • Room: Math 150
  • Office hours of Y. Sommerhäuser: Mon, Wed, Fri 3:00 pm-4:00 pm and by appointment
  • Textbook: E. Artin: Galois theory, Dover, New York, 1997
  • Outline: In the first half of the semester, we will discuss free groups, ring theory, and module theory, in particular modules over principal ideal domains and their application to the Jordan canonical form. This material will be taught with the help of handouts consisting of copies from various textbooks. In the second half of the semester, we will discuss the main topic of the course, namely Galois theory. Here, we will cover Chapter 2 and Chapter 3 from the textbook. Time permitting, we will discuss the basic concepts of category theory.
  • Exams: There will be two midterm exams and a comprehensive final exam. The midterm exams take place on Friday, March 13 as well as Friday, April 17. The final exam takes place Monday, May 11, 3:30 pm-6:30 pm, in Math 235.
  • Homework: Beginning Monday of the second week, a weekly exercise sheet will be handed out, containing three to four problems. This has to be completed until the next Monday. While it is allowed to collaborate on the problems, every student is required to write up his solution in his own words. There will be no exercise sheets during exam weeks.
  • Examination criteria: The final grade will be computed using the following weights.
    • Homework: 30 percent
    • Test 1: 20 percent
    • Test 2: 20 percent
    • Final exam: 30 percent
  • Grading:
    • A: 90 percent (or better)
    • A-: 88 percent (or better)
    • B+: 86 percent (or better)
    • B: 80 percent (or better)
    • B-: 78 percent (or better)
    • C+: 76 percent (or better)
    • C: 70 percent (or better)
    • C-: 68 percent (or better)
    • D+: 66 percent (or better)
    • D: 60 percent (or better)
  • Syllabus.
  • Exercise sheets:

Former courses

Last modified: January 7, 2016