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
1To be able to develop their knowledge of theory and applications at master degree depending on the competencies acquired in undergraduate level.X
2To be able to recognize different problems encountered in mathematics and to be able to make studies for their solutions.X
3To be able to formulate new solutions with scientific methods mostly based on analysis and synthesis.X
4To be able to carry out his/her works either independently or in groups within a project considering his/her knowledge on the field he/she works in a critical approach.X
5To be able to continue his/her works considering social, scientific and ethical values.X
6To be able to follow scientific and social developments related to his/her field.X
7To be able to carry out his/her works within the framework of quality management, workplace safety and environmental awareness and to be able to present systematically his/her works using various methods like written, oral or visual.
8To be able to use methods of accessing knowledge effectively in accordance with ethical values.X
9To be able to use knowledge in other disciplines by combining it with mathematical information.X
10To be able to make activities in the awareness of need for lifelong learning.X
11To be able to make connections between mathematical and social concepts and produce solutions with scientific methods.X
12To be able to use his/her mathematical knowledge in technology.X
 -- 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)