GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
INTRODUCTION TO DIFFERENCE EQUATIONS II/MAT- 414
Course Title: INTRODUCTION TO DIFFERENCE EQUATIONS II
Credits 3 ECTS 5
Semester 8 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, Ensure the active participation of the student's course.
 -- 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
5
3
15
 Searching in Internet and Library
5
3
15
 Designing and Applying Materials
0
 Preparing Reports
0
 Preparing Presentation
0
 Presentation
0
 Mid-Term and Studying for Mid-Term
1
14
14
 Final and Studying for Final
1
20
20
 Other
3
3
9
 TOTAL WORKLOAD: 
115
 TOTAL WORKLOAD / 25: 
4.6
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
PROGRAM LEARNING OUTCOMES
1
2
3
4
5
1To train individuals who are contemporary, entrepreneur and have unique and aesthetic values, self-confidence and capable of independent decision-making.X
2To give good education in the program fields as algebra, geometry, applied mathematics, topology and analysis in order to be equipped with enough mathematics.X
3To teach mathematical thinking methods in order to improve the ability to express mathematics both orally and in writing.X
4To train individuals who are knowledgeable about the history of mathematics and the production of scientific knowledge and can follow developments in these disciplines.X
5To provide necessary equipments to take positions such areas as banking, finance, econometrics, and actuarial.
6To acquire ability to solve problems encountered in real life by means of mathematical modeling using mathematical methods.X
7To provide ability to do necessary resource researches in the areas of mathematics and to use accessed information.X
8To give appropriate training in such areas as in computer programming and creating algorithms in order to take parts in developing IT sector.
9To gain substructure to be able to study at graduate level.X
10To enable the student to gain the ability of relating mathematics with the other sciences.X