ERCIYES UNIVERSITY - Fen Fakültesi - Erciyes Üniversitesi

Student
Responsibility
4. G. BIRKHOFF and S. MAC LANE, A Survey of Modern
Algebra, Macmillan, New York, 1967.
To be successful the students have to continue to lessons (40 hours),
to repeat the topics at home (20 hours), to make homework (5
homeworks) given at the end of topics (20 hours) and to repeat
generally all topics at the exam periods (20 hours).
Weekly Schedule
WEEK
CHAPTER TOPICS
1 Sets and subsets.
2 Some properties of Z, The division algorithm.
3 Highest common factors and Euclid’s algorithm.
4 Equivalence relations and equivalence classes.
5 Mappings and permutations.
6 Groups and examples of groups.
7 Subgroups and some important general examples of subgroups.
8 MID-TERM EXAM
9 Period of an element, Cyclic groups.
10 Cosets and Lagrange’s theorem on finite groups.
11 Normal subgroups, Quotient groups.
12 Homomorphisms and their elementary properties.
13 Isomorphic groups, Kernel and image.
14 Isomorphism theorems, Direct product of groups.
15 FINAL EXAM
Öneren Öğretim Üyesi
Himmet CAN
Öneren Anabilim Dalı Başkanı
Prof. Dr. Fuat Gürcan