GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
FUNCTIONAL ANALYSIS II/MAT4006
Course Title: FUNCTIONAL ANALYSIS II
Credits 3 ECTS 5
Course Semester 8 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
Understanding the concept of the normed spaces and Banach spaces.
Understanding the concept of linear operator and functional.
learning extension of linear operators, the concept of linear functional and Dual space.
Interpretation the theorems Hahn-Banach Theorem, open mapping theorem, Closed graph theorem, Banach- Steinhaus theorem.
Abstract approach and abstract thinking skills.
 -- MODE OF DELIVERY
  the mode of delivery of this course is Face to face
 --WEEKLY SCHEDULE
1. Week  Linear operators, bounded operators, continuity
2. Week  Linear operators, linear functional on the, finite dimensional normed spaces
3. Week  Extended of linear operators, linear functional and Dual space
4. Week  Hanh-Banach Theorem and its consequences
5. Week  Banach Steinhauss Theorem
6. Week  Open mapping theorem, Closed graph theorem and applications
7. Week  Solution of problems
8. Week  Solution of problems Midterm Exam
9. Week  Banach algebras
10. Week  Discus algebras
11. Week  Discus algebras
12. Week  Spectrums, Regular and singular elements
13. Week  Regular and singular elements, topolgical divisor of zero
14. Week  Solutions of problem
15. Week  Feedback
16. Week  Final Exam
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
30
 Assignment
2
5
 Application
2
5
 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
14
1
14
 Searching in Internet and Library
14
1
14
 Material Design and Implementation
0
 Report Preparing
0
 Preparing a Presentation
1
4
4
 Presentation
1
1
1
 Midterm Exam and Preperation for Midterm Exam
2
10
20
 Final Exam and Preperation for Final Exam
2
10
20
 Other (should be emphasized)
2
5
10
 TOTAL WORKLOAD: 
125
 TOTAL WORKLOAD / 25: 
5
 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. Nurhayat İSPİR)
 -- WEB SITE(S) OF LECTURER(S)
   (http://www.websitem.gazi.edu.tr/site/nispir)
 -- EMAIL(S) OF LECTURER(S)
   (nispir@gazi.edu.tr )