GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
FUNCTIONAL ANALYSIS/MAT515A
Course Title: FUNCTIONAL ANALYSIS
Credits 3 ECTS 8
Semester 9 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Türkish
 -- 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 learn normed linear spaces and it's properties.
They should be able to learn examples of Banach spaces
They should be able to know Hahn-Banach theorem and it's results
They should be able to interpret Uniform boundedness theorem
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  To know topology, metric topology, continous function
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Normed linear spaces
2. Week  Normed linear spaces
3. Week  Normed linear spaces
4. Week  Banach sapces
5. Week  Banach sapces
6. Week  Banach sapces
7. Week  Hahn-Banach Theorems and its corollary
8. Week  Hahn-Banach Theorems and its corollary
9. Week  Hahn-Banach Theorems and its corollary
10. Week  Baire-Categori theorem
11. Week  Baire-Categori theorem
12. Week  Uniform boundedness theorem
13. Week  Open mapping theorems
14. Week  Closed mapping theorems
15. Week  
16. Week  
 -- RECOMMENDED OR REQUIRED READING
  Introduction to Functional Analysis (Seyit Ahmet KILIÇ-Musa ERDEM)
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Question & Answer, Demonstration, Drill - Practise
 -- WORK PLACEMENT(S)
  -
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
20
 Assignment
1
15
 Exercises
1
5
 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
1
14
 Searching in Internet and Library
20
1
20
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
14
1
14
 Presentation
14
1
14
 Mid-Term and Studying for Mid-Term
20
2
40
 Final and Studying for Final
20
2
40
 Other
0
 TOTAL WORKLOAD: 
198
 TOTAL WORKLOAD / 25: 
7.92
 ECTS: 
8
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1Acquisition of scientific thinking skillsX
2Making research and investigation independentlyX
3Acquisition of carefully observing and analytically thinking skillsX
4Acquisition of learning and teaching mathematics problemsX
5Comprehending, applying and explaining the importance of mathematical conceptsX
6Developing the thinking, producing, argumenting and probing abilitiesX
7Having the algorithm and sotftware writing abilities for solving computer supported problemsX
8Developing the ability of reaching information, evaluating and presenting information
9Improving yourself parallel to the developing technologyX
10Understands the disciplinary structure of mathematics, its historical development, related philosophical approaches and problems.X