MAT 313: Abstract Algebra

Fall 2017

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 Library E4330

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: Cristian Minoccheri Math Tower 2-115 cmin AT math.stonybrook.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 during the second class of 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: Thursday, October 5.

·  Midterm II: Thursday , November 2.  

· Final exam Wednesday, Dec. 13, 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

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