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
MAT548	TOPLOGICAL GROUPS-II	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)

Yrd. Doç. Dr. Hürmet Fulya Akız

Learning Outcomes

1	To learn the concept of topological subgroup
2	To learn the concept of topological quotient group
3	To learn the concept of product of topological groups
4	To learn the concept of connectedness and connected components
5	To learn the concepts of compactness and seperation axioms in topological groups

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Topological subspaces, topological quotient groups, the product of topological groups, connectedness and connected components, compactness and separation axioms in topological groups. Connectivity and compactness in topological groups, Local compact topological groups, Cover spaces of topological groups, Effect of topological groups on topological spaces, Lie groups

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Topological subgroups
2	Topological subgroups
3	Topological subgroups
4	Topological quotient groups
5	Topological quotient groups
6	Topological quotient groups
7	The product of topological groups
8	MID-TERM EXAM
9	The product of topological groups
10	Connectedness and connected components
11	Connectedness and connected components
12	Connectedness and connected components
13	Compactness and separation axioms in topological groups
14	Compactness and separation axioms in topological groups
15	Compactness and separation axioms in 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	7	4	28
Self Study	7	4	28
Individual Study for Mid term Examination	14	3	42
Individual Study for Final Examination	14	3	42
TOTAL WORKLOAD (hours)			172

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

LO3

LO4

LO5

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