Kocaeli University / European Credit Transfer System (ECTS)

Name of Lecturer(s)

Prof. Dr. Halis AYGÜN
Prof. Dr. Abdülkadir AYGÜNOĞLU
Associate Prof. Dr. Vildan ÇETKİN

Learning Outcomes of the Course Unit
Program Competencies-Learning Outcomes Relation

Learning Outcomes of the Course Unit

1) Explain the further topics in metric spaces and investigate the relations between metric spaces and topological spaces.
2) State the important theorems of complete metric spaces.
3) Explain the further topics of the concepts of connectedness and local connectedness.
4) Identify the notion of a uniform space and some of its fundamental properties.
5) Follow the academical papers related to general topology.

Program Competencies-Learning Outcomes Relation

		Program Competencies
		1	2	3	4	5	6	7
Learning Outcomes
	1	No relation	No relation	No relation	No relation	No relation	No relation	No relation
	2	No relation	No relation	No relation	No relation	No relation	No relation	No relation
	3	No relation	No relation	No relation	No relation	No relation	No relation	No relation
	4	No relation	No relation	No relation	No relation	No relation	No relation	No relation
	5	No relation	No relation	No relation	No relation	No relation	No relation	No relation

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

Metric spaces and metrizable spaces, complete metric spaces, connected topological spaces, local connected spaces, path connected spaces, continuum, components, totally disconnected spaces, Peano spaces, homotopy and fundamental groups, uniform spaces, complete uiform spaces, function spaces, Stone-Weierstrass theorem.

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Contribution of Midterm Examination to Course Grade	40%
Contribution of Final Examination to Course Grade	60%
Total	100%

Language of Instruction

Turkish

Work Placement(s)