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
FMA603	TOPOLOGY I	Compulsory	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

The aim of the course is to gain the basic information necessary in the field of topology

Name of Lecturer(s)

Yrd. Doç. Dr. Serkan Karataş

Learning Outcomes

1	Alanı ile ilgili ileri düzeyde alan bilgisine, becerisine sahip olmak ve bunu gerçek öğretim ortamlarında kullanmak
2	To have the ability and knowledge of the advanced level of related to the field and use it in a real learning environment.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

None

Recommended Optional Programme Components

None

Course Contents

• Regular Spaces: Characteristics features of Regular Spaces • Regularity of Metric Spaces • Cartesian Product of Regular Spaces • Regularity of Compact and Local Spaces • Normal Spaces: Characteristics features of Normal Spaces • Normalcy of Metric Spaces • Compact spaces which are being Normal space • Complete Regular Spaces and Tikonov Theorem • Local compact s-compact spaces • A Lindelof locally compact space which is being s-compact • Countable Compact Spaces • Baire spaces: Non-Intensive Sentences • The first and second category sentences • Characteristics features of Baire Spaces a Baire Space which is being Baire function of the image under a continuous open onto function • Baire's theorem: Locally Compact (complete metric) space is a Baire space

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Regular Spaces: Characteristics features of Regular Spaces
2	Regularity of Metric Spaces
3	Cartesian Product of Regular Spaces
4	Regularity of Compact and Local Spaces
5	Characteristics features of Normal Spaces
6	Normalcy of Metric Spaces
7	Compact spaces which are being Normal space
8	Midterm exam
9	Complete Regular Spaces and Tikonov Theorem
10	Local compact s-compact spaces
11	A Lindelof locally compact space which is being s-compact
12	Countable Compact Spaces, Baire spaces: Non-Intensive Sentences
13	The first and second category sentences. Characteristics features of Baire Spaces
14	A Baire Space which is being Baire function of the image under a continuous open onto function
15	Baire's theorem: Locally Compact (complete metric) space is a Baire space
16	Final exam

Recommended or Required Reading

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
Makeup Examination	1	2	2
Attending Lectures	10	4	40
Problem Solving	10	4	40
Self Study	10	5	50
Individual Study for Mid term Examination	10	4	40
Individual Study for Final Examination	10	4	40
TOTAL WORKLOAD (hours)			216

Contribution of Learning Outcomes to Programme Outcomes

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

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