GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
TOPOLOGICAL VECTOR SPACES/MAT4031
Course Title: TOPOLOGICAL VECTOR SPACES
Credits 3 ECTS 5
Course Semester 7 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
To understand the vector spaces
To understand the Hahn-Banach theorem
To understand the topological vector spaces
To understand the concepts in topological vector spaces
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Vector spaces
2. Week  Vector subspaces
3. Week  Hamel base, convex and circular sets
4. Week  Hahn-Banach theorem and applications
5. Week  C-interior point and balance sets
6. Week  Minkowski functional of set
7. Week  Linear mappings
8. Week  Hahn-Banach theorem, an application of Hahn-Banach theorem Mid-Term Exam
9. Week  Topological vector spaces
10. Week  Neighborhoods system and base
11. Week  Bounded and totally bounded sets
12. Week  Finite dimensional topological vector spaces,
13. Week  Hausdorf topological vector spaces, continuous and uniformly continuous functions
14. Week  Metrizable of topological vector spaces, lokally convex spaces
15. Week  Final Exam
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
40
 Assignment
0
0
 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
 Reading Tasks
9
3
27
 Searching in Internet and Library
10
2
20
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
0
 Presentation
0
 Midterm Exam and Preperation for Midterm Exam
1
12
12
 Final Exam and Preperation for Final Exam
1
18
18
 Other (should be emphasized)
0
 TOTAL WORKLOAD: 
119
 TOTAL WORKLOAD / 25: 
4.76
 Course Credit (ECTS): 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To train individuals who are contemporary, entrepreneur and have unique and aesthetic values, self-confidence and capable of independent decision-making.X
2To give good education in the program fields as algebra, geometry, applied mathematics, topology and analysis in order to be equipped with enough mathematics.X
3To teach mathematical thinking methods in order to improve the ability to express mathematics both orally and in writing.X
4To train individuals who are knowledgeable about the history of mathematics and the production of scientific knowledge and can follow developments in these disciplines.X
5To provide necessary equipments to take positions such areas as banking, finance, econometrics, and actuarial.X
6To acquire ability to solve problems encountered in real life by means of mathematical modeling using mathematical methods.X
7To provide ability to do necessary resource researches in the areas of mathematics and to use accessed information.X
8To give appropriate training in such areas as in computer programming and creating algorithms in order to take parts in developing IT sector.X
9To gain substructure to be able to study at graduate level.X
10To enable the student to gain the ability of relating mathematics with the other sciences.X
 -- NAME OF LECTURER(S)
   (Prof.Dr. A. Duran TURKOGLU , Prof. Dr .Cetin VURAL , Prof. Dr. Hakan EFE)
 -- WEB SITE(S) OF LECTURER(S)
   (ttp://websitem.gazi.edu.tr/site/dturkoglu)
 -- EMAIL(S) OF LECTURER(S)
   (dturkoglu@gazi.edu.tr)