## Math 818, Spring 2014

### Srikanth B. Iyengar

Class:  Mon, Wed, Fri,   11:30 am–12:20 pm,   Avery 108

Office:  Avery 302.1

E-mail:  s.b.iyengar at unl.edu

Office Hours:  Thursday 1:30–2:30, and by appointment.

Text:  Abstract Algebra, by D. Dummit and R. Foote.

Prerequisites:  An undergraduate course in algebra. Essentially, I assume you are familiar with basic set theory, elementary properties of the integers (e.g., modular arithmetic) and standard techniques of proof (such as induction). Most of this can be found in Chapter Zero of the text. I will also assume a working knowledge of Chapter 7 of Dummit and Foote, dealing with ring theory. As always, it is also worth looking at the classic: Topics in Algebra, by I. N. Herstein

Course description:  I intend to cover most of chapters 10 – 14.

Homework:  There will be homework due most Mondays. This will account for 20% of your final grade. No late homework will be accepted. Here are the tentative homework assignments; the page numbers refer to Dummit and Foote. The problems are subject to change, for I will assign problems off the cuff.

Due date  Assignment
January 22:  Page 343: 7, 9, 10, 11*, 12, 13, 15; Page 350: 4, 6*, 9, 10, 14; Page 356: 2*, 9, 10, 11, 16, 17, 18, 27
January 27:  Page 468: 1–15 (please turn in only 2, 10, 12)
February 3:
February 10:   Page 415: 2,7,8,9*; Page 422: 6, 7*, 8, 9, 11, 12; Page 435 2, 3*
February 17:   Page 441: 2, 3*, 4, 6; Page 488: 3, 4, 6, 9–19 (please turn in 4, 14)
February 24:

Please try to solve as many exercises from the book (and elsewhere).

Grading:  There will be two midterm exams given during the semester, dates to be determined. Each of these will be two hours long, and so outside the normal class period. There will also be a two-hour final exam; details to be announced. These exams will comprise 20%, 20%, and 40%, respectively, of your final grade.

Homework:   20%
Exam 1:   20%   Mid February
Exam 2:   20%   Late March
Exam 3:   40%   10 AM – Noon, Monday, May 5