MAT 313: Abstract
Algebra
Fall 2019
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: TuTh 11:30am-12:50pm Mathematics P131
Instructor: Mikhail Movshev, Math Tower 4-109 , Phone: (631)
632-8271,
email: mmovshev AT math
dot sunysb dot edu
Office hours: Thursday 1:30-3:30 pm .
Grader: Bowen Zhang, Math Tower S-240A
email: Zhang.Bowen AT stonybrook.edu
Office Hours: Th 6:00pm-7:00pm
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 the first meeting the following 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: Tuesday, October 1.
· Midterm
II: Thursday , October 31.
· Final exam Wednesday. December.
18, 11:15am-1:45pm
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
4-108 Math Tower
Department of Mathematics
Stony Brook University
Stony Brook, NY 11794-3651
Phone: 631-632-8271
Fax: 631-632-7631