# M 380 C Algebra

INSTRUCTOR: Felipe Voloch
(RLM 9.122, ph.471-2674)
CLASS HOURS: Mon, Wed, Fri 10:00 -- 11:00 RLM 10.176

OFFICE HOURS: Tue 9:00 -- 11:00 or by appointment.

TEXTBOOK: D. Dummit and
R. Foote, Abstract Algebra, Second Edition,
Prentice Hall, 1999. There is an
errata.

SYLLABUS: The first two parts of the book. Groups (groups, subgroups,
quotient groups, group actions, direct products, solvable groups)
and Rings (rings, domains, PIDs, UFDs, polynomial rings, modules).

PREREQUISITES: None, but students who haven't had abstract algebra
before are encouraged to talk to the instructor before registering.

EXAMS: A midterm (available now with solutions in
pdf or
ps format), on October 15th, 10:00-12:00, covering part I
of the book and a comprehensive exam
(available now with solutions in
pdf or
ps format) on Dec. 3rd., 10:00-12:00.

HOMEWORK: I will assign homework on a weekly basis and it will be due
following week, unless otherwise stipulated.

GRADES: 20% homework + 30% midterm + 50% final.

## Homework assignments

- Section 1.1, problems 6,7,14,15,22. Section 1.2, problem 18.
Section 1.3, problems 1,9,14,16. Due 9/3.
- Section 1.6, problems 2,4,10,17,26. Section 2.1, problems 1,5,8,10.
Section 2.3, problems 6,11,16. Due 9/10.
- Section 3.1, problems 3,5,11,19,33. Section 3.2, problems 5,8,18.
Section 3.3, problems 3,7. Due 9/17.
- Section 1.3, problem 17. Section 3.4, problems 5,11.
Section 3.5, problems 9,10,12. Section 4.1, problems 4,8.
Section 4.2, problems 3,8. Due 9/24.
- Section 4.3, problems 2,9,13,25. Section 4.4, problem 1.
Section 4.5 problems 1,8,16,18. Section 5.5, problem 6. Due 10/1.
- Section 4.5, problems 23, 30, 40. Section 5.2, problems 7, 9, 14.
Section 5.5, problems 8, 10.
- Section 7.1, problems 6,14,26. Section 7.2, problems 3,5.
Section 7.3, problems 10,25,26,28,34. Due 10/25.
- Section 7.4, problems 14,30. Section 7.5, problem 5.
Section 8.1, problem 10. Section 8.2, problem 7. Section 8.3,
problems 6,11. Due 11/1.
- Section 9.1, problems 4,14. Section 9.2 problems 4,6.
Section 9.3, problem 3. Section 9.4, problems 5,15,19. Due 11/8.
- Section 10.1, problems 8,9,10,12. Section 10.2, problem 9.
Section 10.3, problems 9,10. Due 11/15.
- Section 12.1, problems 2,5,11. Section 12.2, problems 12,17,20.
Section 12.3, problems 19,31. Due 11/22. Last homework!!

Rings of fractions the hard way (in
pdf format).