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
MAT545	INTRODUCTION TO TOPOLOGY-I	Elective	1	2	6

Level of Course Unit

Second Cycle

Objectives of the Course

To teach the course content of Topology.

Name of Lecturer(s)

Dr.Öğr.ÜyesiHürmet Fulya AKIZ

Learning Outcomes

1	To learn the concept of topological space
2	To be able to determine the open and closed sets in topological spaces
3	To be able to find the interior, clousure, accumulation and boundary points of a given set in a topological space
4	To learn the concept of a sequence in a topological space
5	To learn the concepts of base and subbase

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Infinite product spaces, Metric product spaces, First countable spaces and second countable spaces, Separable spaces, Lindelöf spaces, Separation axioms, Urysohn's lemma and metricization theorem

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Sets, relations, functions, countable sets
2	Sets, relations, functions, countable sets
3	Topological spaces, open sets
4	Topological spaces, open sets
5	Neighbourhoods, closed sets
6	Neighbourhoods, closed sets
7	Accumulation points
8	MID-TERM EXAM
9	Interior, closure, boundary of a set
10	Interior, closure, boundary of a set
11	Sequences
12	Sequences
13	Subspaces
14	Bases and subbases
15	Bases and subbases
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	4	56
Problem Solving	14	2	28
Self Study	14	4	56
Individual Study for Mid term Examination	4	5	20
Individual Study for Final Examination	4	5	20
TOTAL WORKLOAD (hours)			184

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