Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF LETTERS & SCIENCE / MAT334 - MATHEMATICS

Code: MAT334 Course Title: INTRODUCTION TO DIFFERENCE EQUATIONS II Theoretical+Practice: 4+0 ECTS: 6
Year/Semester of Study 3 / Spring Semester
Level of Course 1st Cycle Degree Programme
Type of Course Optional
Department MATHEMATICS
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-2 Have the knowledge to critize, analyze, and evaluate the correctness, reliability, and validity of mathematical data.
PO-3 Define the some models of mathematical problems, evaluate with a critical approach, analyze with theoretical and applied knowledge.
PO-4 Analytically use the interdisciplinary approach at learning process.
PO-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods
PO-8 Learn the life-long learning and quality management processes and apply them, attend social, cultural and artistic events on his field.
PO-9 Develop vocational projects and activities and apply them.
PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education.
Examination
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Theory of Linear Difference Equation Systems Expression method, question-answer method, discussion
2 Theory of Linear Difference Equation Systems Expression method, question-answer method, discussion
3 Constant Coefficient Homogeneous Difference Equation Systems Expression method, question-answer method, discussion
4 Solution Methods for Constant Coefficient Homogeneous Difference Equation Systems, Putzer Algorithm Expression method, question-answer method, discussion
5 Solution Methods for Constant Coefficient Homogeneous Difference Equation Systems, Jordan Canonical Form Expression method, question-answer method, discussion
6 Solution Methods for Constant Coefficient Homogeneous Difference Equation Systems, Jordan Blocks Expression method, question-answer method, discussion
7 Linear Periodic Systems Expression method, question-answer method, discussion
8 mid-term exam
9 Linear Periodic Systems Expression method, question-answer method, discussion
10 The Behavior of the Solutions of Second Order Nnhomogeneous Difference Equations with Constant Coefficients Expression method, question-answer method, discussion
11 The Behavior of the Solutions of Second Order Nnhomogeneous Difference Equations with Constant Coefficients Expression method, question-answer method, discussion
12 Stability theory of difference equations Expression method, question-answer method, discussion
13 Stability theory of difference equations Expression method, question-answer method, discussion
14 Stability theory of linear homogeneous difference equations with order k Expression method, question-answer method, discussion
15 Cobweb scheme Expression method, question-answer method, discussion
16 final exam
Recommend Course Book / Supplementary Book/Reading
1 Soykan, Y.,Lineer Fark Denklemleri,1. Basım, Seçkin Yayıncılık,2017
2 Bereketoğlu H., Kutay Vildan, Fark Denklemleri, Gazi Kitabevi, 2012, Ankara
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) 4 14 56
Outside Class
       a) Reading 3 14 42
       b) Search in internet/Library 2 14 28
       c) Performance Project 0
       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 2 8 16
mid-term exam 2 1 2
Own study for final exam 2 15 30
final exam 2 1 2
0
0
Total work load; 176