Math 222 Group theory
Syllabus
Instructor
Instructor:
Ahmet Feyzioğlu.
Office: TB 225.
Office Hours:
By appointment.
Teaching Assistants
First Teaching Assistant: Fulya Taştan
Office: TB 121.
Office Hours:
To be announced later.
Second Teaching Assistant: Ayçin İplikçi
Office: TB 125.
Office Hours:
To be announced later.
Classes
Place: NH 103.
Class Hours:
◦ Monday 9:00–11:00 and Wednesday 9:00–11:00 for section 1;
◦ Monday 11:00–13:00 and Wednesday 11:00–13:00 for section 2.
Course Description:
Topics: Groups, subgroups, cyclic groups, generating sets, permutations, orbits, cycles, alternating groups, cosets, Lagrange’s Theorem, direct products, finite abelian groups, homomorphisms, normal subgroups, factor groups, simple groups, group actions, isomorphism theorems, Sylow’s theorems.
Prerequisite: Math 111.
Textbook: A coursa on algebra, by A. Feyzioğlu, availabe from this
link.
Problem Session: Each week, some problems will be assigned to
be discussed and solved in a problem session.
Suggested problems: From time to time, I’ll offer you several homework problems. They won’t be collected nor graded, but I recommend that you solve them.
Grading
Examinations: There will be two midterm exams and a final exam.
To be eligible for the final exam, you must get at least 70 points
out of 200 from your two midterms.
In the exams, you must explain your reasoning in order to get
credit.
Basis of evaluation: The weights of the first midterm examination,
second midterm examination and the final examination are 25%,
25%, 50%. In addition, your class participation may strongly influence me to have a favourable disposition towards you.