GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
INVARIANT SUBSPACES/6191305
Course Title: INVARIANT SUBSPACES
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 recognize the problem of invariant subspaces.
Students can know some basic theorems invariant subspaces.
Students can know theorems of invariant subspaces for positive operators.
Students can know and use Lomonosov Theorem.
Students can give existence of invariant subspaces for compact-friendly operators.

 -- MODE OF DELIVERY
   The mode of delivery of this course is Face to face.
 --WEEKLY SCHEDULE
1. Week  Some basic problems of invariant subspaces.
2. Week  Local semi-nilpotent.
3. Week  Operators defined on l_p spaces.
4. Week  Periods and local semi-nilpotent.
5. Week  Spaces with Schauder base.
6. Week  Lomonosov theorem.
7. Week  Dominantness property.
8. Week  Problems of invariant subspaces for positive operators.
9. Week  Problems of invariant subspaces for compact-friendly operators.
10. Week  Problems of invariant subspaces for kernel operators.
11. Week  Kernel operator which is local semi-nilpotent not nilpotent.
12. Week   Dual problem of invariant subspaces.
13. Week   Invariant subspaces for special class operators.
14. Week   Invariant subspaces for special class operators.
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)