# M 373 K Algebraic Structures Spring 05

INSTRUCTOR: Felipe Voloch (RLM 9.122, ph.471-2674,)

COURSE WEB PAGE: http://www.ma.utexas.edu/users/voloch/algstr.html.

CLASS HOURS: Tue, Thu 9:30 -- 11:00 RLM 5.112

UNIQUE NUMBER: 57445

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

TEXTBOOK: Concrete Abstract Algebra by N. Lauritzen, Cambridge Univ. Press 2003. (paperback: ISBN:0521534100)

TESTS: Midterms on March, 10 (Thursday) and April, 26 (Tuesday). Final on May, 14 (Saturday) 7 to 10 PM in RLM 5.126. No make-up midterms will be given (see "GRADES" below).

HOMEWORK: I will assign homework on a weekly basis and it will be due at the beginning of the following week, unless otherwise stipulated. Selected problems (not all problems) will be graded. Homework must be neatly done and stapled if more than one page long. Late or sloppy homework will not be graded.

GRADES: Course grades will be given based on tests and homework as follows: Best midterm 30% + homework 20% + final exam 50% or both midterms (40% each) + homework 20%. The second option can only be selected by the student before the final, in which case the final will not be taken. Students missing a midterm automatically fall into the first option.

COURSE DESCRIPTION: This course studies basic algebraic structures such as groups and rings and applications to integers and polynomials.

## Homework assignments:

1. Section 1.12 Problem 11 and Section 2.11 Problems 1,2,3,4,19. Due 2/1.
2. Section 2.11 Problems 5,7,10,11,14. Due 2/8.
3. Section 2.11 Problems 12,15,18,23,26. Due 2/15.
4. Section 2.11 Problems 28,31,33,34,35. Due 2/22.
5. Section 2.11 Problems 37,39,40,43,44. Due 3/1.
6. Section 2.11 Problems 45,49(i),(ii),(iii),50. Due 3/8.
7. Section 3.6 Problems 1,3,4,15. Due 3/29.
8. Section 3.6 Problems 5,8,18,20,25. Due 4/5.
9. Section 3.6 Problems 16,19,23,24,26. Due 4/12.
10. Section 3.6 Problems 9,10,22,28,32. Due 4/19.