GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

SPECTRAL ANALYSIS OF NON-SELFADJOINT DIFFERENTIAL OPERATORS I/6091305

Course Title:	SPECTRAL ANALYSIS OF NON-SELFADJOINT DIFFERENTIAL OPERATORS I
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

To define of differential equation system
To comprehend spectral analysis

-- MODE OF DELIVERY

The mode of delivery of this course is Face to face

--WEEKLY SCHEDULE
1. Week	To define a differential operator produced by a differential equation
2. Week	To find solutions of a differential equation
3. Week	. To calculate asymptotic relations provided by solutions
4. Week	. To find discrete spectrum of a differential operator
5. Week	To calculate resolvent of a differential operator
6. Week	. To find spectral singularities of a differential operator
7. Week	To calculate continuous spectrum of a differential operator
8. Week	. To prove the finiteness of eigenvalue and spectral singularities sentence
9. Week	To prove the finiteness of the multiples of eigenvalue and spectral singularities
10. Week	To prove eigen functions corresponding to eigen values belong to a known Hilbert Space
11. Week	. To prove main functions corresponding to spectral singularities belong to another Hilber Space
12. Week	To prepare spectral expansion formula
13. Week	. To prove spectral expansion formula
14. Week	To show convergence of spectral expansion formula
15. Week
16. Week

-- TEACHING and LEARNING METHODS

-- ASSESSMENT CRITERIA

	Quantity	Total Weighting (%)
Midterm Exams	1	30
Assignment	2	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
Reading Tasks	10	3	30
Searching in Internet and Library	10	4	40
Material Design and Implementation			0
Report Preparing			0
Preparing a Presentation			0
Presentation			0
Midterm Exam and Preperation for Midterm Exam	10	4	40
Final Exam and Preperation for Final Exam	10	4	40
Other (should be emphasized)			0
TOTAL WORKLOAD:			192
TOTAL WORKLOAD / 25:			7.68
Course Credit (ECTS):			7.5

-- COURSE'S CONTRIBUTION TO PROGRAM

-- NAME OF LECTURER(S)

(Prof.Dr. Esra Kır Arpat)

-- WEB SITE(S) OF LECTURER(S)

(websitem.gazi.edu.tr/site/esrakir )

-- EMAIL(S) OF LECTURER(S)

(esrakir@gazi.edu.tr )

Gazi University