1	Course Title:	DIFFERENCE EQUATIONS
2	Course Code:	MAT4068
3	Type of Course:	Optional
4	Level of Course:	First Cycle
5	Year of Study:	4
6	Semester:	8
7	ECTS Credits Allocated:	6
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	None
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. EMRULLAH YAŞAR
16	Course Lecturers:	Dr. Öğretim Üyesi Nisa ÇELİK
17	Contactinformation of the Course Coordinator:	e-posta:caglayan@uludag.edu.tr Telefon:0224 29 41 752 Adres:U.Ü Fen-Edb. Fak. Mat. Böl. Görükle Bursa
18	Website:
19	Objective of the Course:	Introduce to difference equations and its theory.
20	Contribution of the Course to Professional Development	Gain the background to follow new developments in the field of difference equations

21

Learning Outcomes:

1 Learns the structure of difference equations.; 2 Learns first-order linear difference equations and solution methods .; 3 Knows difference equations with constant and variable coefficients.; 4 Learns the method of undetermined coefficients for difference equations.; 5 Learns the variation of parameters method of difference equations.; 6 Understands the Z-transform, theory of linear systems and stability.;

22	Course Content:

Week	Theoretical	Practical
1	Introduction and Necessary Preliminaries
2	Difference and Shift Operators
3	Summation
4	Generating Functions
5	First Order Equations, Linear Equations
6	Equations with Constant Coefficients
7	Equations with Variable Coefficients
8	Midterm Exam and General Review
9	Nonlinear Eauations
10	Z-transformations and Applications
11	Convolution
12	Linear Systems
13	Stability I
14	Stability II

23	Textbooks, References and/or Other Materials:
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course	To ask questions about the subject during the lesson and to wait for a certain period of time to determine the level of the students. Creating a discussion environment (question and answer) among students in order to understand the subject.
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	3	42
Practicals/Labs	0	0	0
Self Study and Preparation	14	3	42
Homeworks, Performances	0	3	42
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	6	6
Others	6	7	42
Final Exams	1	6	6
Total WorkLoad			186
Total workload/ 30 hr			6
ECTS Credit of the Course			6

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 LO1 4 4 1 1 1 1 1 1 1 1 LO2 4 4 1 1 1 1 1 1 1 1 LO3 4 4 1 1 1 1 1 1 1 1 LO4 4 4 1 1 1 1 1 1 1 1 LO5 4 4 1 1 1 1 1 1 1 1 LO6 4 4 1 1 1 1 1 1 1 1

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High