Nevşehir Hacı Bektaş Veli University Course Catalogue

Information Of Programmes

FACULTY OF LETTERS & SCIENCE / MAT333 - MATHEMATICS

Code: MAT333 Course Title: INTRODUCTION TO DIFFERENCE EQUATIONS I Theoretical+Practice: 4+0 ECTS: 6
Year/Semester of Study 3 / Fall 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
The students gain information about the solution methods and characteristics of difference equations and they can use this knowledge.

Learning Outcomes PO MME
The students who succeeded in this course:
LO-1 Learning Basic Concepts of Linear Difference Equations, Learning Methods of Solving Linear Difference Equations, Applying Linear Difference Equations, Contributing to improve mathematical thinking, Solving problems encountered in engineering and basic sciences PO-
LO-2 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-5 Develop suitable material for a subject on a mathematical area, to use the knowledge and experience gains with different methods
PO-7 Have the knowledge to determine the needs related to his area and to direct his learning and use exclusively computer technologies with software.
PO-11 With the knowledge he gain, they determine the learning needs of those working under him, execute the musts of graduate education.
PO: Programme Outcomes
MME:Method of measurement & Evaluation

Course Contents
Finite Difference Operators, Determination of Difference Equations, Constant Coefficient Linear Difference Equations, First Order Difference Equations, Higher Order Homogeneous Linear Difference Equations, Variable Coefficient Linear Difference Equations, Autonomous Equations, Non-Autonomous Difference Equations, Partial Difference Equations
Weekly Course Content
Week Subject Learning Activities and Teaching Methods
1 Basic concepts Expression method, question-answer method, discussion
2 Basic concepts Expression method, question-answer method, discussion
3 Basic concepts Expression method, question-answer method, discussion
4 scalar difference equations Expression method, question-answer method, discussion
5 first order difference equations Expression method, question-answer method, discussion
6 higher order difference equations Expression method, question-answer method, discussion
7 Second-order difference equations with variable coefficients Expression method, question-answer method, discussion
8 mid-term exam
9 Special solutions for nonhomogeneous equations Expression method, question-answer method, discussion
10 Homojen olmayan denklemler için özel çözümler Expression method, question-answer method, discussion
11 Homojen olmayan denklemler için özel çözümler Expression method, question-answer method, discussion
12 Autonomous equations Expression method, question-answer method, discussion
13 non-autonomous equations Expression method, question-answer method, discussion
14 partial difference equations Expression method, question-answer method, discussion
15 partial difference equations 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