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Course Information

Course Title	Code	Semester	Laboratory+Practice (Hour)	Pool	Type	ECTS
Group Theory I	MAT551	FALL-SPRING	3+0		E	6

Learning Outcomes	1-To comprehend definition of groups and give examples 2-To comprehend quotient groups and izomorphism Theorems 3-To comprehend alternating, symetric and dihedral Groups 4-To comprehend direct products 5-To comprehend group of Otomorphisms, semi direct groups 6-To comprehend free groups

ECTS / WORKLOAD

Activity	Percentage (100)	Number	Time (Hours)	Total Workload (hours)
Course Duration (Weeks x Course Hours)		14	3	42
Classroom study (Pre-study, practice)		5	20	100
Assignments	0	0	0	0
Short-Term Exams (exam + preparation)	0	0	0	0
Midterm exams (exam + preparation)	40	1	20	20
Project	0	0	0	0
Laboratory	0	0	0	0
Final exam (exam + preparation)	60	1	20	20
Other	0	0	0	0
Total Workload (hours)				182
Total Workload (hours) / 30 (s)				6,07 ---- (6)
ECTS Credit				6

Course Content

Week	Topics	Study Metarials
1	Definition of Group
2	Group Examples
3	Quotient Groups
4	Isomorfism Theorems
5	Third Isomorfism Theorem
6	Alternating, Symetric Groups
7	Dihedral Groups
8	Direct products
9	Group of Otomorphisms
10	Semi direct groups
11	Free Groups
12	Construction of a Free Group with a basis X
13	Generators
14	Generators and relations

Prerequisites	-
Language of Instruction	Turkish
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Program Learning Outcomes

	Program Learning Outcomes	Level of Contribution
1	Improve and deepen the gained knowledge in Mathematics in the speciality level	5
2	Use gained speciality level theoretical and applied knowledge in mathematics	5
3	Perform interdisciplinary studies by relating the gained knowledge in Mathematics with other fields.	5
4	Analyze mathematical problems by using the gained research methods	5
5	Conduct independently a study requiring speciliaty in Mathematics	5
6	Develop different approaches and produce solutions by taking responsibility to problems encountered in applications	5
7	Evaluate the gained speciality level knowledge and skills with a critical approach and guide the process of learning	4
8	Transfer recent and own research related to mathematics to the expert and non-expert shareholders written, verbally and visually	5
9	Uses computer software and information technologies related to the field of mathematics at an advanced level.	3
10	Have the awareness of acting compatible with social, scientific, cultural and ethical values during the process of collecting, interpreting, applying and informing data related to Mathematics	4

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