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
MAT20820121310	TOPOLOGY–II	Compulsory	2	4	5

Level of Course Unit

First Cycle

Objectives of the Course

Introduce the basic concepts, give methods of proof and express in the abstract to generalize the concepts of real and complex analysis in general topology.

Name of Lecturer(s)

Learning Outcomes

1	Students who successfully complete this course : They will develop the right thinking and the ability to interpret and will gain basic knowledge about mathematics.

Mode of Delivery

Formal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Students who successfully complete this course : will develop the right thinking and the ability to interpret and will gain basic knowledge about mathematics.

Course Contents

Cartesian product spaces, Cartesian product topology and open sub-sentence. In Cartesian product space, continuity of functions, the interior, closure, boundary and accumulation points of a multiplication sentence. Metric, metric space, topology of metric space and open sub-sentence. Continuity in metric space, uniform continuity, convergence and Cauchy sequence. Compact spaces. Sequences in Compact space. Cartesian product of compact spaces. Locally compact spaces. Connected spaces.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Cartesian product spaces
2	Cartesian product topology and open sub-sentence
3	In Cartesian product space, continuity of functions
4	The interior, closure, boundary and accumulation points of a multiplication sentence
5	The Interior, closure, boundary and accumulation points of a multiplication sentence
6	Topology of metric space and open sub-sentence.
7	Topology of metric space and open sub-sentence.
8	Continuity in metric space
9	Midterm exam
10	Uniform continuity, convergence and Cauchy sequence
11	Compact spaces
12	Sequences in Compact space
13	Cartesian product of compact spaces
14	Locally compact spaces
15	Connected spaces
16	Final exam

Recommended or Required Reading

S. Lipschutz, General Topology, Schaum’s Outline Series, McGraw-Hill Pub. Com

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)

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	12	5	60
Problem Solving	10	2	20
Self Study	8	5	40
Individual Study for Mid term Examination	8	2	16
Individual Study for Final Examination	6	2	12
TOTAL WORKLOAD (hours)			154

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	4	5	4	4

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