GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION

DIFFERENCE EQUATIONS AND STABILITY THEORY/5081305

Course Title:	DIFFERENCE EQUATIONS AND STABILITY THEORY
Credits	3	ECTS	7.5
Semester	2	Compulsory/Elective	Elective

COURSE INFO

-- LANGUAGE OF INSTRUCTION

Turkish

-- NAME OF LECTURER(S)

Assoc. Prof. Dr. Adil MISIR, Assoc. Prof. Dr. Mustafa Fahri AKTAŞ

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

http://websitem.gazi.edu.tr/site/adilm/academic, http://websitem.gazi.edu.tr/site/mfahri/academic

-- EMAIL(S) OF LECTURER(S)

adilm@gazi.edu.tr, mfahri@gazi.edu.tr

-- LEARNING OUTCOMES OF THE COURSE UNIT

Learning stability of linear systems theory and the basic concepts of stability.
Learning analyze the phase plane.
Learning the asymptotic behavior of difference equations and basic concepts.
Oscillation Theory: Learning trinomial difference equations.
Learning equations of second order self-adjoint.

-- MODE OF DELIVERY

The mode of delivery of this course is Face to face.

-- PREREQUISITES AND CO-REQUISITES

There is no prerequisite or co-requisite for this course.

-- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS

There is no recommended optional programme component for this course.

--COURSE CONTENT
1. Week	Stability Theory; Stability of linear systems
2. Week	Stability of linear systems
3. Week	Scalar equations
4. Week	Phase plane analysis
5. Week	Stability of linear approach
6. Week	The asymptotic behavior of difference equations: Basic concepts
7. Week	Poincare Theorem
8. Week	Mid-Term Exam
9. Week	Second order difference equations
10. Week	Asymptotically diagonal systems
11. Week	High order difference equations
12. Week	Nonlinear difference equations
13. Week	Oscillation Theory: trinomial difference equations
14. Week	Nonlinear difference equations
15. Week	Self-adjoint second order equations
16. Week	Final Exam

-- RECOMMENDED OR REQUIRED READING

-Bereketoğlu H., Fark Denklemleri. -Saber N.E., An Introduction to Difference Equations. -Peterson A.C., Kelley W.G, Difference Equations.

-- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS

Lecture, Question & Answer, Demonstration, Drill - Practise

-- WORK PLACEMENT(S)

None

-- ASSESSMENT METHODS AND CRITERIA

	Quantity	Percentage
Mid-terms	1	40
Assignment	0	0
Exercises	0	0
Projects	0	0
Practice	0	0
Quiz	0	0
Contribution of In-term Studies to Overall Grade		40
Contribution of Final Examination to Overall Grade		60

-- WORKLOAD

Efficiency	Total Week Count	Weekly Duration (in hour)	Total Workload in Semester
Theoretical Study Hours of Course Per Week	14	3	42
Practising Hours of Course Per Week			0
Reading	10	5	50
Searching in Internet and Library	10	6	60
Designing and Applying Materials			0
Preparing Reports			0
Preparing Presentation			0
Presentation			0
Mid-Term and Studying for Mid-Term	1	10	10
Final and Studying for Final	1	20	20
Other	2	5	10
TOTAL WORKLOAD:			192
TOTAL WORKLOAD / 25:			7.68
ECTS:			7.5

-- COURSE'S CONTRIBUTION TO PROGRAM

NO	PROGRAM LEARNING OUTCOMES	1	2	3	4	5
1						X
2					X
3				X
4			X
5				X
6					X
7				X
8			X
9					X
10
11					X
12		X

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GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR