Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

INSTITUTE OF SCIENCE / MAT633 - MATHEMATICS (DOCTORATE DEGREE)

Code: MAT633 Course Title: STABILITY THEORY OF DIFFERENCE EQUATIONS Theoretical+Practice: 3+0 ECTS: 6
Year/Semester of Study 1 / Fall Semester
Level of Course 3rd Cycle Degree Programme
Type of Course Optional
Department MATHEMATICS (DOCTORATE DEGREE)
Pre-requisities and Co-requisites None
Mode of Delivery Face to Face
Teaching Period 14 Weeks
Name of Lecturer YASİN YAZLIK (yyazlik@nevsehir.edu.tr)
Name of Lecturer(s)
Language of Instruction Turkish
Work Placement(s) None
Objectives of the Course

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 PO-1 Students can design an original issue and explore new, different and / or comprehend complex issues.
PO-2 Students will understand all aspects of mathematics and deepen the knowledge level that can innovate in this field.
PO-3 Students will be dominated by current issues in mathematics.
PO-5 Be able to access to information, make research on resources for this purpose and be able to use databases and other information resources.
PO-11 Ability to use mathematical knowledge in technology.
PO-13 To apply mathematical principles to real world problems.
PO-14 Ability to use the approaches and knowledge of other disciplines in Mathematics.
PO-15 Be able to set up and develope a solution method for a problem in mathematics independently, be able to solve and evaluate the results and to apply them if necessary.
Examination
Oral Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Introduction,
2 Basic definitions and theorems,
3 Basic definitions and theorems,
4 Three-Term Difference Equations,
5 Three-Term Difference Equations,
6 Self-Adjoint Second-Order Equations,
7 Self-Adjoint Second-Order Equations,
8 mid-term exam
9 Nonlinear Difference Equations
10 Oscillation in Nonlinear Difference Equations,
11 Oscillation in Nonlinear Difference Equations,
12 Examples from the literature,
13 Examples from the literature,
14 Examples from the literature,
15 Examples from the literature,
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Mustafa R.S. Kulenovic and Orlando Merino, Discrete Dynamical Systems and Difference Equations with Mathematica, Chapman & Hall/CRC London
2 Kulenovic S, Ladas G, Dynamics of Second Order Rational Difference Equations, Chapman & Hall/CRC, New York
Required Course instruments and materials

Assessment Methods
Type of Assessment Week Hours Weight(%)
mid-term exam 8 2 40
Other assessment methods
1.Oral Examination
2.Quiz
3.Laboratory exam
4.Presentation
5.Report
6.Workshop
7.Performance Project
8.Term Paper
9.Project
final exam 16 2 60

Student Work Load
Type of Work Weekly Hours Number of Weeks Work Load
Weekly Course Hours (Theoretical+Practice) 3 14 42
Outside Class
       a) Reading 3 14 42
       b) Search in internet/Library 2 7 14
       c) Performance Project 2 8 16
       d) Prepare a workshop/Presentation/Report 0
       e) Term paper/Project 0
Oral Examination 0
Quiz 0
Laboratory exam 0
Own study for mid-term exam 3 8 24
mid-term exam 2 1 2
Own study for final exam 3 14 42
final exam 2 1 2
0
0
Total work load; 184