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Course Information

Course Information

Course Title	Code	Semester	L+U Hour	Credits	ECTS
DIFFERENCE EQUATIONS	MAT4443		0 + 0	3.0	6.0

Prerequisites

None

Language of Instruction	English
Course Level	Graduate Degree
Course Type	Compulsory
Mode of delivery
Course Coordinator
Instructors
Assistants
Goals	The aim is to have information about difference equations and to obtain their solutions.
Course Content	Difference operator, Properties of difference and shift operators, Analogies between the difference operator and differential operator, Antidifference operator and its properties, Approximate summation, Theory of linear difference equations, First order linear difference equations, Second order linear difference homogeneous equations,Second order difference equations with variable coefficients, Higher order linear homogeneous difference equations with constant coefficients, Methods of undetermined coefficients,The method of variation of constants, Nonlinear scalar difference equations, Some applications on difference equations
Learning Outcomes	1) Recognizes the properties of Difference and shift operators. 2) Compares differential operator and the difference operator. 3) Examines the properties of linear difference equations. 4) Solves high-order homogeneous equations with constant coefficients. 5) Calculates the solutions of second order equations with variable coefficients. 6) Finds the particula solution by the method of undetermined coefficients. 7) Applies the variation of parameters. 8) Recognize the application areas of difference equations 9) Calculates some of the solutions of nonlinear difference equations.