Fall 2013

Department of Mathematics

SUNY at Stony Brook

**Textbook**: *Contemporary Abstract Algebra *,
7th edition, by Joseph A. Gallian, Houghton Miflin Company, 1998, or
its 5th or 6th editions.

An excellent book for further reading is *Algebra
*by Michael Artin, Prentice Hall, 1991.

**Schedule: **TuTh11:30am-12:50pm,
Physics P123

**Instructor:** Mikhail
Movshev, Math Tower 4-109
, Phone: (631)
632-8271, *email*:
mmovshev
ad math dot sunysb dot edu

**Office hours**: Thursday 1:30-3:30 pm .

**Grader: Apratim Chakraborty** Math Tower S-240G apratim AT math.sunysb.edu

**Topics covered: **Ring
of integers - properties of integers, mathematical induction, modular
arithmetics. Group theory - groups, subgroups, homomorphisms and
isomorphisms, the kernel and normal subgroups, the image and factor
groups, abelian and cyclic groups, permutation groups, cosets and the
Lagrange coset theorem. Ring theory - rings and subrings, the unit
group of a ring, homomorphisms and isomorphisms, ideals, integral
domains, polynomial rings, factorization. Theory of fields - fields,
subfields and field extensions. See also the syllabus.

**Prerequisites: **MAT 310, MAT 318, MAT 312 **or
**permission of the instructor. If you have difficulties following
the first few lectures, please contact the instructor for advice and
possible transfer to another class.

**Homework:
**Homework will be assigned each week and
collected in class next week.

**Grading: **Grades
will be assigned on the following basis:
Homework 30%, Midterm (maximum of the two exams) 30%, Final Exam 40%.

**Exams****:**

· Midterm I: Thursday, October 3.

· Midterm II: Thursday , October 31.

· Final exam Wednesday, December 11, 5:30PM-8:00PM

* DSS advisory*.
If you have a physical,
psychological, medical, or learning disability that may impact your
course work, please contact Disability Support Services at (631)
632-6748 or http://studentaffairs.stonybrook.edu/dss/.
They will determine with you what accommodations are necessary and
appropriate. All information and documentation is
confidential.

Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information go to the following website: http://www.sunysb.edu/ehs/fire/disabilities.shtml

Mikhail Movshev

4-108 Math Tower

Department of Mathematics

Stony Brook University

Stony Brook, NY 11794-3651

Phone: 631-632-8271

Fax: 631-632-7631