GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
OPERATOR THEORY/5961305
Course Title: OPERATOR THEORY
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
Obtain the fundamental concepts and theorems of Operator Theory
Obtain spectral properties of some operators
Knows the basic definitions an properties of linear bounded operators and can apply them to specific operators
Determine the areas of applying of Operator Theory
Constitute a substructure for advanced research at Operator Theory
 -- MODE OF DELIVERY
  The mode of delivery of this course is face to face
 --WEEKLY SCHEDULE
1. Week  Banach spaces, operators, and linear functionals
2. Week  Banach lattices and positive operators
3. Week  Bases in Banach spaces
4. Week  Vector-valued functions
5. Week  Bounded below operators
6. Week  Banach lattices with order continuous norms
7. Week  L- and M-spaces
8. Week  The center of Banach lattices
9. Week  Special classes of operators
10. Week  Integral operators
11. Week  The spectrum of an operator
12. Week  Special points of the spectrum
13. Week  The resolvent of a positive operator
14. Week  Irreducible operators
15. Week  
16. Week  
 -- TEACHING and LEARNING METHODS
 -- ASSESSMENT CRITERIA
 
Quantity
Total Weighting (%)
 Midterm Exams
1
30
 Assignment
5
20
 Application
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Percent of In-term Studies  
50
 Percentage of Final Exam to Total Score  
50
 -- WORKLOAD
 Activity  Total Number of Weeks  Duration (weekly hour)  Total Period Work Load
 Weekly Theoretical Course Hours
14
3
42
 Weekly Tutorial Hours
14
0
0
 Reading Tasks
10
8
80
 Searching in Internet and Library
8
4
32
 Material Design and Implementation
4
2
8
 Report Preparing
0
0
0
 Preparing a Presentation
0
0
0
 Presentation
0
0
0
 Midterm Exam and Preperation for Midterm Exam
1
10
10
 Final Exam and Preperation for Final Exam
1
16
16
 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.X
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. Bahri Turan , Assoc.Prof. Cüneyt Çevik)
 -- WEB SITE(S) OF LECTURER(S)
   (websitem.gazi.edu.tr/site/bturan , websitem.gazi.edu.tr/site/ccevik)
 -- EMAIL(S) OF LECTURER(S)
   (bturan@gazi.edu.tr , ccevik@gazi.edu.tr)