Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

INSTITUTE OF SCIENCE / MAT634 - MATHEMATICS (DOCTORATE DEGREE)

Code: MAT634 Course Title: ASIMPOTIC BEHAVIOR OF FARK EQUATIONS Theoretical+Practice: 3+0 ECTS: 6
Year/Semester of Study 1 / Spring 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-8 Be able to organize events, for the development of critical and creative thinking and problem solving skills, by using appropriate methods and techniques.
PO-11 Ability to use mathematical knowledge in technology.
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 Tools of Approximation,
2 Poincar´es Theorem,
3 Perron’s Theorems,
4 Asymptotically Diagonal Systems,
5 High-Order Difference Equations,
6 High-Order Difference Equations,
7 Second-Order Difference Equations,
8 mid-term exam
9 Second-Order Difference Equations,
10 Birkhoff’s Theorem
11 Nonlinear Difference Equations,
12 Extensions of the Poincar´e and Perron Theorems
13 Examples from the literature,
14 Examples from the literature,
15 Examples from the literature,
16 final exam
Recommend Course Book / Supplementary Book/Reading
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