Professor Gordana G. Todorov
MTH 3175 · Group Theory
Spring 2011

* Course Information and Class material

Course MTH 3175 · Group Theory
Instructor Gordana Todorov       Email g.todorov@neu.edu
Time Place MWTh 9:15-10:020 in 208 Kariotis Hall
Office 531 Lake Hall            Office Hours MWTh 10:30-11:30pm
Textbook Contemporary Abstract Algebra Joseph A. Gallian
Grade 60% in-class exams, 40% final exam

* Course Description

    The course presents basic concepts and techniques of the group theory: symmetry groups, axiomatic definition of groups, important classes of groups (abelian, cyclic, additive and multiplicative groups of residues, permutation groups), Cayley table, subgroups, group homomorphisms, cosets, the Lagrange theorem, normal subgroups, quotient groups, direct products. Studies structural properties of groups. Possible applications include geometry, number theory, crystallography, physics, and combinatorics.

* Grading Policies

    There will be 6 quizzes. You will be allowed to drop your lowest quiz grade. If you miss a quizz for justifyable reason (illness or any other serious problem), you may drop one more quiz grade. There will be no make up quizzes.
    Quizzes count 60% and Final exam is 40%
    Course letter grades require the following minimum percent grades:
    A (95%), A-(90%), B+(86.7%), B(83.4%), B-(80%), C+(76.7%), C(73.4%), C-(70%), D+(66.7%), D(63.4%), D-(60%)

* Course Policies

    1. Students are responsible for ALL information and announcements given when they are absent.
    2. If you must leave class early, please, see me before class. No other early departures or walking during the class will be tolerated, with the exception of severe medical problems.
    3. All cell-phones must be turned off! If you are expecting important phone call, please, see me before class. Points will be deducted each time you use your phone in class!
    4. It is University policy that no grade, including an incomplete, can be changed after one year. Exceptions must be authorized by the Academic Standing Committee.
    5. All students without legitimate conflicts (approved by the instructor) will take the final exam at the scheduled time. Do not make travel plans that conflict with the final exam.

* About the course and you!

    This is a very beautiful course, with a lot of theory together with, both examples and strict proofs.
    You will be expected to write proper mathematical proofs!
    You are expected to do a lot of work in this course!
    You are expected to do HW without my collecting it and checking up on you. Discussion of the HW will form the first part of the next class.
    PLEASE REMEMBER, YOUR SUCCESS DEPENDS ON YOUR WORK!!!
Department of Mathematics  Office:  531 Lake Hall  Messages:  (617) 373-2450 
Northeastern University Phone:  (617) 373-2450  Fax: (617) 373-5658
Boston, MA, 02115  Email:  g.todorov@neu.edu Directions
Home Started:  September 11, 2009
Last modified:  January 12, 2011