Iğdır 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
170300401304	TOPOLOGY I	Compulsory	2	3	5

Level of Course Unit

First Cycle

Objectives of the Course

Building mathematical structures on sets,improving the skills of abstract thinking, advancing the concepts given in the analysis lectures, setting up a substructure for some theorical courses

Name of Lecturer(s)

Dr. Öğr. Üyesi Alkan ÖZKAN

Learning Outcomes

1	Learning the methods of setting a topology,
2	To find out the concept of continuity,
3	Improving the skills of abstract thinking.

Mode of Delivery

Daytime Class

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Topological spaces and basic concepts, The methods of setting topology (By using the Kuratowski closure operator and interior operator)), The methods of setting topology, base, subbase, neighborhood base, Continuous functions, Initial topology and product spaces, The methods of setting topology, Subspaces, Hereditary and topological spaces

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Topological spaces and basic concepts
2	Topological spaces and basic concepts
3	Topological spaces and basic concepts
4	Topological spaces and basic concepts
5	The methods of setting topology (By using the Kuratowski closure operator and interior operator))
6	The methods of setting topology, base, subbase, neighborhood base
7	Continuous functions
8	Midterm exam
9	Continuous functions
10	Continuous functions
11	Continuous functions
12	Initial topology and product spaces
13	Hereditary and topological spaces
14	Final exam

Recommended or Required Reading

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	1	1
Final Examination	1	2	2
Attending Lectures	14	3	42
Practice	14	1	14
Problem Solving	14	2	28
Discussion	14	1	14
Question-Answer	14	2	28
Brain Storming	14	2	28
TOTAL WORKLOAD (hours)			157

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10
LO1	4	4	4	4	4	4	4	4	4	4
LO2	5	4	4	4	4	4	4	4	4	4
LO3	5	5	5	5	5	5	5	5	5	5

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