Department of Mathematics
SUNY at Stony Brook
Fall 2008
Textbook: Contemporary Abstract Algebra , 4th 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: MW 3:50pm- 5:10pm, Physics P112
Instructor: Mikhail
Movshev, Math Tower 4-109 , Phone: (631)
632-8271,
email: mmovshev
ad math dot sunysb dot edu
Office hours: Tuesday 11:00-12:00 and 14:00-15:00 .
Grader: Panagiotis Gianniotis Office hours Monday 10:00am to 12:00pm.in MLC
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: Wednesday, October 15.
· Midterm II: Monday , November 17.
· Final: Wed, Dec 17, 5-7:30, Physics P112
.
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