Yozgat Bozok University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
MAT513	THE ELEMENTS OF GROUP THEORY AND THE THEORY OF OPERATORS IN SEMI-GROUPS	Elective	1	2	6

Level of Course Unit

Second Cycle

Objectives of the Course

To give information on groups.

Name of Lecturer(s)

Dr.Öğr.Üyesi Funda TAŞDEMİR

Learning Outcomes

1	The learners information about groups.
2	The learners information about Symmetric, alternating and dihedral groups.
3	The learners information about direct sums and products.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Definition of rings and fields, definition of group and subgroups, expansion of group to subgroups, normal divisors, factor groups, homeomorphism, direct sum of abel groups, finite abel groups

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Basic information about groups
2	Basic information about groups
3	Basic information about groups
4	Basic information about groups
5	Symmetric group
6	Symmetric group
7	Symmetric group
8	MID TERM EXAM
9	Symmetric group
10	Alternating group
11	Alternating group
12	Dihedral group
13	Dihedral group
14	Direct sums and products
15	Direct sums and products
16	FINAL EXAM

Recommended or Required Reading

1. Hersteın I.N, (1975), Topics In Algebra, Jahn Wiley nad Sons Inc. 2. Hungerford Tomas, (1974), Algebra Springer Verlag New York. 3. Fraleigh John, (1973), A First Course In Abstract Algebra, Addison-Wesley Publishing Company London.

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Work Placement(s)

None

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Attending Lectures	14	3	42
Self Study	14	3	42
Individual Study for Mid term Examination	7	6	42
Individual Study for Final Examination	7	6	42
TOTAL WORKLOAD (hours)			172

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

LO3

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High