Yozgat Bozok University Lifelong Learning Programme

Description of Individual Course Units

Course Unit Code	Course Unit Title	Type of Course Unit	Year of Study	Semester	Number of ECTS Credits
MAT544	DİFFERENCE EQUATİONS-II	Elective	1	1	6

Level of Course Unit

Second Cycle

Objectives of the Course

To introduce difference equations, to teach solution methods and examination of application areas.

Name of Lecturer(s)

Prof.Dr.Mammad MUSTAFAYEV

Learning Outcomes

1	To learn difference equations
2	To apply difference equations

Mode of Delivery

Formal Education

Prerequisites and co-requisities

Recommended Optional Programme Components

Course Contents

difference Operator, Properties of Difference and Shift Operators, Similarities between difference and Differential Operators, Inverse Difference Operator and Properties, Scalar Difference Equations, Linear Difference Equations Theory, First Order Linear Difference Equations, Second Order Linear Homogen Equations and Solutions, Higher Order Linear difference Equations Theory, High-order Constant Coefficient Linear Homogen Difference Equations, Undetermined Coefficients Method, Method of Change of Constants, Nonlinear Scalar Difference Equations, Some Applications on Difference Equations

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Difference operators
2	Properties of Difference and Shift Operators
3	Similarities between difference and Differential Operators
4	Inverse Difference Operator and Properties
5	Scalar Difference Equations
6	Linear Difference Equations Theory
7	First Order Linear Difference Equations
8	Second Order Linear Homogen Equations and Solutions
9	Higher Order Linear difference Equations Theory
10	High-order Constant Coefficient Linear Homogen Difference Equations
11	Undetermined Coefficients Method
12	Method of Change of Constants
13	Nonlinear Scalar Difference Equations
14	Some Applications on Difference Equations

Recommended or Required Reading

Planned Learning Activities and Teaching Methods

Assessment Methods and Criteria

Term (or Year) Learning Activities	Quantity	Weight
Midterm Examination	1	100
SUM		100
End Of Term (or Year) Learning Activities	Quantity	Weight
Final Examination	1	100
SUM		100
Term (or Year) Learning Activities		40
End Of Term (or Year) Learning Activities		60
SUM		100

Language of Instruction

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	70	70
Final Examination	1	85	85
Makeup Examination	1	30	30
TOTAL WORKLOAD (hours)			185

Contribution of Learning Outcomes to Programme Outcomes

LO1

LO2

* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High