Ordu 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
MAT42520121310	TOPOLOGY SELECTION TERMS-I	Elective	4	7	5

Level of Course Unit

First Cycle

Objectives of the Course

The aim of the course; to give the basic concepts about general topology and separation axioms, compactness, connectedness, nets and filters and to make students understand deeply by choosing the theoretical formative examples.

Name of Lecturer(s)

Araş. Gör. Dr. İrem Eroğlu

Learning Outcomes

1	Matematiğin ve özellikle matematikteki bazı genişlemelerin önemini anlayabilme
2	Olayları farklı bir bakış açısı ile yorumlayabilme.
3	Problemlerin çözümlerini bulmadaki tartışmalar ile sonuca ulaşma becerileri edinme
4	Soyut bazı kavramları kolayca anlayabilme.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

Separation axioms, compactness, compactness in metric spaces, connectedness, nets and filters, topological groups.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	T0, T1 and Hausdorff Spaces
2	Regular spaces
3	Normal Spaces
4	Compactness
5	Compactness
6	Sequentially compact spaces
7	Compactness in metric spaces
8	Midterm
9	Nets and filters
10	Net and filters
11	Connectedness
12	Connectedness
13	arcwise connectivity
14	Topological groups
15	Topological groups
16	Final exam

Recommended or Required Reading

Genel Topoloji, Prof. Dr. Cemil Yıldız, Gazi Kitabevi General Topology, N. Bourbaki, Springer General Topology, Ryszard Engelking, Heldermann Verlag General topology, Stephen Willard, Addison-Wesley Topology, James Munkres, Printece Hall Topoloji ve Kategori, Prof. Dr. Osman Mucuk, Nobel Yayınları

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
SUM		0
End Of Term (or Year) Learning Activities	Quantity	Weight
SUM		0
Yarıyıl (Yıl) İçi Etkinlikleri		40
Yarıyıl (Yıl) Sonu Etkinlikleri		60
SUM		100

Language of Instruction

Turkish

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
Individual Study for Mid term Examination	1	40	40
Individual Study for Final Examination	1	40	40
TOTAL WORKLOAD (hours)			140

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7
LO1	4	3
LO2	4
LO3	4
LO4	5

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