Information Package / Course Catalogue - Adnan Menderes University

General Information Unit Staff Academic Information Programme Outcomes Course Structure Diagram Contact Information

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Algebra I

Course Code	: MTK503
Course Type	: Area Elective
Couse Group	: Second Cycle (Master's Degree)
Education Language	: Turkish
Work Placement	: N/A

Theory	: 3
Prt.	: 0
Credit	: 3
Lab	: 0
ECTS	: 8

Objectives of the Course

This course gives the fundamental concepts of groups.

Course Content

Semigroups, monoids and groups, homorphisms and subgroups, cyclic groups, coset and counting, normal subgroups , quotient groups, ısomorphism theorems, symmetric groups, alternating and dihedral groups, direct products and direct sums, free abelian group, the action of group on a set, the sylow theorems and their applications.

Name of Lecturer(s)

Lec. Erdal ÖZYURT

Learning Outcomes

1.	To be able to give fundamental properties of group theory
2.	To be able to relate group theory with other fields of algebra
3.	To be able to develop some theoretical approach on group theory
4.	To be able to develop individual works on group theory
5.	To be able to relate group theory with some other fields except algebra.

Recommended or Required Reading

1.	Algebra, T.W.Hungerford
2.	Contemporary Abstract Algebra, J.A.Gallian
3.	Basic Algebra I-II, N. Jacobson
4.	Basic Abstract Algebra, P.B. Bhattacharya, S.K.Jain, S.R. Nagpaul, Cambridge University Pres
5.	Fundamentals of Abstract Algebra, D.S.Malik, John M.Mordeson, M.K.Sen, , The McGraw-Hill Companies

Weekly Detailed Course Contents

Week 1 - Theoretical

Semigroups, monoids and groups

Week 2 - Theoretical

Homorphisms and subgroups

Week 3 - Theoretical

Cyclic groups

Week 4 - Theoretical

Coset and counting

Week 5 - Theoretical

Normal subgroups, quotient groups

Week 6 - Theoretical

Normal subgroups, quotient groups

Week 7 - Theoretical

Isomorphism theorems

Week 8 - Theoretical

Symmetric groups

Week 9 - Theoretical

Alternating and dihedral groups

Week 10 - Theoretical

Direct products and direct sums

Week 11 - Theoretical

Free abelian groups

Week 12 - Theoretical

The action of group on a set

Week 13 - Theoretical

The Sylow Theorems

Week 14 - Theoretical

Some aplications of the Sylow Theorems

Assessment Methods and Criteria

Type of Assessment	Count	Percent
Final Examination	1	%70
Assignment	2	%30

Workload Calculation

Activities	Count	Preparation	Time	Total Work Load (hours)
Lecture - Theory	14	3	3	84
Assignment	2	16	2	36
Individual Work	14	0	2	28
Final Examination	1	50	2	52
TOTAL WORKLOAD (hours)				200

Contribution of Learning Outcomes to Programme Outcomes

	PÇ-1	PÇ-2	PÇ-3	PÇ-4	PÇ-5	PÇ-6	PÇ-7	PÇ-8	PÇ-9	PÇ-10	PÇ-11	PÇ-12	PÇ-13	PÇ-14	PÇ-15
OÇ-1	4	4	4	4	4					4					4
OÇ-2	4	4	4	4	4					4					4
OÇ-3	4	4	4	4	4					4					4
OÇ-4	4	4	4	4	4					4					4
OÇ-5	4	4	4	4	4					4					4

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