GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

SET THEORY AND TOPOLOGY I/MAT307A

Course Title:	SET THEORY AND TOPOLOGY I
Credits	3	ECTS	8
Semester	5	Compulsory/Elective	Compulsory

COURSE INFO

-- LANGUAGE OF INSTRUCTION

Turkish

-- NAME OF LECTURER(S)

Assoc. Prof. Ayşe UYAR

-- WEB SITE(S) OF LECTURER(S)

http://websitem.gazi.edu.tr/site/ayseu

-- EMAIL(S) OF LECTURER(S)

ayseu@gazi.edu.tr

-- LEARNING OUTCOMES OF THE COURSE UNIT

They should be able to know definition of the topology
They should be able to know definition of the topology generated by bases.
They should be able to compare the topology given with bases
They should be able to find interior, closure and limit (accumulation ) point of a set.

-- MODE OF DELIVERY

The mode of delivery of this course is Face to face

-- PREREQUISITES AND CO-REQUISITES

There is no prerequisite or co-requisite for this course.

-- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS

There is no recommended optional programme component for this course.

--COURSE CONTENT
1. Week	Set theory
2. Week	Topological spaces
3. Week	Examples of topological spaces
4. Week	Topology Basis
5. Week	Example of topology basis
6. Week	comparison of topologies are given by base
7. Week	Product topology
8. Week	Subbasis
9. Week	Subspace topology
10. Week	Close sets
11. Week	Closure and interior of a set,
12. Week	Closure point
13. Week	Limit (accumulation ) point
14. Week	Hausdorff spaces
15. Week
16. Week

-- RECOMMENDED OR REQUIRED READING

Topology a first Course(Munkres, J. P.) General Toplology (Aslım, G.) General Toplology(Karaçay, T.) General Topology (Kelly, J.L.)

-- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS

Lecture, Question & Answer, Demonstration, Drill - Practise

-- WORK PLACEMENT(S)

-- ASSESSMENT METHODS AND CRITERIA

	Quantity	Percentage
Mid-terms	1	40
Assignment	0	0
Exercises	0	0
Projects	0	0
Practice	0	0
Quiz	0	0
Contribution of In-term Studies to Overall Grade		40
Contribution of Final Examination to Overall Grade		60

-- WORKLOAD

Efficiency	Total Week Count	Weekly Duration (in hour)	Total Workload in Semester
Theoretical Study Hours of Course Per Week	14	2	28
Practising Hours of Course Per Week	14	2	28
Reading	14	2	28
Searching in Internet and Library	20	2	40
Designing and Applying Materials			0
Preparing Reports			0
Preparing Presentation			0
Presentation			0
Mid-Term and Studying for Mid-Term	20	2	40
Final and Studying for Final	20	2	40
Other			0
TOTAL WORKLOAD:			204
TOTAL WORKLOAD / 25:			8.16
ECTS:			8

-- COURSE'S CONTRIBUTION TO PROGRAM

NO	PROGRAM LEARNING OUTCOMES	1	2	3	4	5
1	Acquisition of scientific thinking skills					X
2	Making research and investigation independently					X
3	Acquisition of carefully observing and analytically thinking skills					X
4	Acquisition of learning and teaching mathematics problems					X
5	Comprehending, applying and explaining the importance of mathematical concepts					X
6	Developing the thinking, producing, argumenting and probing abilities					X
7	Having the algorithm and sotftware writing abilities for solving computer supported problems	X
8	Developing the ability of reaching information, evaluating and presenting information					X
9	Improving yourself parallel to the developing technology	X
10	Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.			X

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GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR