Kocaeli University / European Credit Transfer System (ECTS)

Name of Lecturer(s)

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

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

Learning Outcomes of the Course Unit

1) Developing interpretation and reasoning skills related to Mathematics.
2) Explain advanced concepts related to product and quotient spaces.
3) State nets and filters, which are generalizations of the concepts of sequence and also the concept of convergence in these structures .
4) Explain the further topics in topological structures such as compactness and paracompactness and investigate the compactification.
5) Explain the concepts of connectedness, path connectedness, connected component and totally disconnectedness.

Program Competencies-Learning Outcomes Relation

		Program Competencies
		1	2	3	4	5	6	7
Learning Outcomes
	1	High	High	High	High	High	High	High
	2	High	High	High	High	High	High	High
	3	High	High	High	High	High	High	High
	4	High	High	High	High	High	High	High
	5	High	High	High	High	High	High	High

Mode of Delivery

Face to Face

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Not Required

Course Contents

This course provides candidates with profound knowledge on fundamental concepts in topological spaces, subspaces, weak and strong topologies, product and quotient spaces, convergence of nets and filters, separation axioms, compact spaces, local compactness, compactification, paracompactness and product spaces of normal spaces.

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)