GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
TOPOLOGICAL VECTOR SPACES I/5051305
Course Title: TOPOLOGICAL VECTOR SPACES I
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 know convex, absorbent and balanced sets.
Students can know the topological vector spaces.
Students can know Topological boundedness, total boundedness, compactness.
Students can know characterizations of locally convex topologies with semi-norms family.
Students can know and use Krein-Milman Theorem.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face.
 --WEEKLY SCHEDULE
1. Week  Convex,balanced,absorbing sets.
2. Week  Topolojik vector spaces.
3. Week  Topolojik vector spaces.
4. Week  Product spaces, quotient spaces.
5. Week  Product spaces, quotient spaces.
6. Week  Local convex topology.
7. Week  Local convex topology.
8. Week  Topological boundedness, total boundedness, compactness.
9. Week  Topological boundedness, total boundedness, compactness.
10. Week  Semi-norms.
11. Week  Mazur's theorem and its consequences.
12. Week  Linear functionals and it´s expansions.
13. Week  Characterizations of locally convex topologies with semi-norms family.
14. Week  Krein Milman 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
40
40
 Final Exam and Preperation for Final Exam
1
40
40
 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
1X
2X
3X
4X
5X
6X
7
8X
9X
10X
11X
12X
 -- 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)