# M 380 D Algebra

INSTRUCTOR: Felipe Voloch
(RLM 9.122, ph.471-2674)
CLASS HOURS: Tue, Thu 9:30 -- 11:00 RLM 11.176

OFFICE HOURS: Wed 10:00 -- 11:00 and Thu 1:00 -- 2:00 or by appointment.

TEXTBOOK: Algebra, a graduate course, by I. M. Isaacs.

SYLLABUS: The second part of the book. Commutative rings, Fields and
Galois theory.

PREREQUISITES: The first part of the book will be assumed.

EXAMS: A midterm on Thursday, March, 20st at class time, covering chapters
16, 17, 18, 20 and 21, and a final on Wednesday, May 7th, 9-12 AM, in RLM
6.126 covering chapters 16, 17, 18, 20, 21, 22, 23, 24, 26, 27.

Here is the midterm with solutions in dvi format.

And
here is the final with solutions in dvi format.

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

## Homework assignments

- Ch. 16. Problems: 1, 2, 4, 6, 10, 13. Due Thursday, Jan. 21st.
- Ch. 17. Problems: 1, 5, 6, 9, 12, 13. Due Tuesday, Feb. 11th.
- Ch. 18. Problems: 6, 12, 13, 14, 15, 19, 22. Due Tuesday, Feb. 18th.
- Ch. 20. Problems: 2, 7, 9, 10, 12, 13, 19. Due Tuesday, March, 4th.
- Ch. 22. Problems: 1, 2, 3, 4, 5, 6, 7, 8. Due Tuesday, April, 1st.
- Ch. 23. Problems: 2, 7, 9, 15 and Ch. 24. Problems: 1, 10, 11, 14, 15.
Due Thursday, April, 10th.
- Ch. 26. Problems: 3, 4, 5.; Ch. 27. Problems: 3, 4, 14;
Ch. 28. Problems: 2, 3, 6, 7, 8, 9; Ch. 30. Problems: 1, 6, 7. Due Tuesday,
April, 29th. Last assignment!

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