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
MAT547	TOPOLOGİCAL GROUPS-I	Elective	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

To teach the course content of Topological groups

Name of Lecturer(s)

Dr.Öğr.Üyesi Hürmet Fulya AKIZ

Learning Outcomes

1	To learn the concept of topological group
2	To learn the concepts of left and right translations in topological groups
3	To learn the concept of homomorphism in topological groups

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Group, subgroup, normal subgroup, quotient group, homomorphism and isomorphism, topological spaces, neighbourhoods, subspace and product topology, definition of topological group and examples, neighbourhoods, left and right translations in topological groups, homomorphisms of topological groups Algebraic and topological concepts, Topological groups, Subgroups and division groups of topological groups, Product topological groups, Basic neighborhood system, Separation axioms in topological groups, Homegenis features

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Group, subgroup
2	Normal subgroup, quotient group
3	Homomorphism and isomorphism
4	Homomorphism and isomorphism
5	Topological spaces, neighbourhoods
6	Topological spaces, neighbourhoods
7	Subspace and product topology
8	MID-TERM EXAM
9	Topological groups and examples
10	Topological groups and examples
11	Topological groups and examples
12	Left and right translations in topological groups
13	Left and right translations in topological groups
14	Homomorphisms of topological groups
15	Homomorphisms of topological groups
16	FINAL EXAM

Recommended or Required Reading

O. Mucuk. Topoloji ve Kategori. 2010.

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	2	28
Problem Solving	14	2	28
Self Study	14	3	42
Individual Study for Mid term Examination	14	3	42
Individual Study for Final Examination	14	3	42
TOTAL WORKLOAD (hours)			186

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

LO3

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