GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

SPECTRAL ANALYSIS OF NON-SELFADJOINT DIFFERENTIAL OPERATORS II/6371305

Course Title:	SPECTRAL ANALYSIS OF NON-SELFADJOINT DIFFERENTIAL OPERATORS II
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	Exam,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

NO	PROGRAM LEARNING OUTCOMES	1	2	3	4	5
1	To be able to develop their knowledge of theory and applications at master degree depending on the competencies acquired in undergraduate level.				X
2	To be able to recognize different problems encountered in mathematics and to be able to make studies for their solutions.				X
3	To be able to formulate new solutions with scientific methods mostly based on analysis and synthesis.				X
4	To 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
5	To be able to continue his/her works considering social, scientific and ethical values.				X
6	To be able to follow scientific and social developments related to his/her field.			X
7	To 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
8	To be able to use methods of accessing knowledge effectively in accordance with ethical values.				X
9	To be able to use knowledge in other disciplines by combining it with mathematical information.			X
10	To be able to make activities in the awareness of need for lifelong learning.				X
11	To be able to make connections between mathematical and social concepts and produce solutions with scientific methods.				X
12	To be able to use his/her mathematical knowledge in technology.			X

-- 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