GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

TOPOLOGICAL VECTOR SPACES II/5021305

Course Title:	TOPOLOGICAL VECTOR SPACES II
Credits	3	ECTS	7.5
Course Semester	1	Type of The Course	Elective

COURSE INFORMATION

-- (CATALOG CONTENT)

-- (TEXTBOOK)

-- (SUPPLEMENTARY TEXTBOOK)

-- (PREREQUISITES AND CO-REQUISITES)

-- LANGUAGE OF INSTRUCTION

Turkish

-- COURSE OBJECTIVES

-- COURSE LEARNING OUTCOMES

Students can define dual system.
Students can know and use the Alaoglu Theorem.
Students can know the adjoint of an operator.
Students can define weak topology on the Banach lattices.
Students can know and use the Krein-Smulian Theorem.

-- MODE OF DELIVERY

The mode of delivery of this course is Face to face

--WEEKLY SCHEDULE
1. Week	Dual system and weak topology.
2. Week	Alaoglu Theorem
3. Week	Mackey-Arens Theorem
4. Week	The adjoint of an operator.
5. Week	Grothendieck Theorem.
6. Week	Strong Topology.
7. Week	Weak topologies on Banach spaces.
8. Week	Weak topologies on Banach spaces.
9. Week	Metrizable.
10. Week	Metrizable.
11. Week	Whitley Theorem.
12. Week	Eberlein-Smulian Theorem.
13. Week	Banach Theoremi.
14. Week	Krein-Smulian-Theorem.
15. Week
16. Week

-- TEACHING and LEARNING METHODS

-- ASSESSMENT CRITERIA

	Quantity	Total Weighting (%)
Midterm Exams	1	30
Assignment	1	10
Application	0	0
Projects	0	0
Practice	0	0
Quiz	0	0

Percent of In-term Studies		40
Percentage of Final Exam to Total Score		60

-- WORKLOAD

Activity	Total Number of Weeks	Duration (weekly hour)	Total Period Work Load
Weekly Theoretical Course Hours	14	3	42
Weekly Tutorial Hours	0	0	0
Reading Tasks	5	6	30
Searching in Internet and Library	6	6	36
Material Design and Implementation	0	0	0
Report Preparing	0	0	0
Preparing a Presentation	0	0	0
Presentation	0	0	0
Midterm Exam and Preperation for Midterm Exam	1	39	39
Final Exam and Preperation for Final Exam	1	41	41
Other (should be emphasized)	0	0	0
TOTAL WORKLOAD:			188
TOTAL WORKLOAD / 25:			7.52
Course Credit (ECTS):			7.5

-- COURSE'S CONTRIBUTION TO PROGRAM

NO	PROGRAM LEARNING OUTCOMES	1	2	3	4	5
1						X
2						X
3					X
4					X
5					X
6					X
7			X
8
9					X
10				X
11				X
12		X

-- NAME OF LECTURER(S)

( Prof. Dr. Birol ALTIN)

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

(www.websitem.gazi.edu.tr/site/birola)

-- EMAIL(S) OF LECTURER(S)

(birola@gazi.edu.tr)

Gazi University

Information Package

Programme Information

Search

GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR