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
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.
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