Iğdır 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
170300401403	ORD. DIF. EQUATIONS II	Compulsory	2	4	5

Level of Course Unit

First Cycle

Objectives of the Course

To examine some solution methods for higher order with constant and variable coefficient differential equations, to introduce the concept of differential equation system and to give some methods for the solutions of these systems. Solve differential equations by Laplace transform method.

Name of Lecturer(s)

Dr.Öğr.Üyesi Gökçe Dilek KÜÇÜK

Learning Outcomes

1	To make the definition of higher order differential equations.
2	To be able to find and interpret the solution of higher order differential equations
3	Solve initial value problems with Laplace method

Mode of Delivery

Daytime Class

Prerequisites and co-requisities

None

Recommended Optional Programme Components

none

Course Contents

higher-order differential equations with constant coefficients, the theory of higher order differential equations with variable coefficients, existence and uniqueness, higher-order solutions of differential equations with variable coefficients, equation systems and methods of solution,the solution of nonlinear systems of equations.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Definition of higher-order differential equations with constant coefficients
2	existence and uniqueness theory of higher order differantial equations with variable coefficients
3	Finding the Basic Solution Set
4	Obtaining Solutions to the Roots of Auxiliary Equation
5	Non-homogeneous Linear Equations with Constant Coefficients
6	Operator decomposition method
7	Parameter Change Method
8	middle term
9	The series solutions in ordinary point.
10	Regular singular point solutions
11	Some special series solutions of differential equations
12	Laplace Transform Method
13	Systems of linear differential equations
14	Systems of non linear differential equations
15	Final Exam

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)

none

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	1	1
Final Examination	1	1	1
Makeup Examination	1	1	1
Attending Lectures	14	4	56
Question-Answer	14	2	28
Self Study	14	3	42
Individual Study for Mid term Examination	1	10	10
Individual Study for Final Examination	1	15	15
TOTAL WORKLOAD (hours)			154

Contribution of Learning Outcomes to Programme Outcomes

	PO 1	PO 2	PO 3	PO 4	PO 5	PO 6	PO 7	PO 8	PO 9	PO 10
LO1	4	4	4	4	4	4	4	4	4	4
LO2	4	4	4	4	4	4	4	4	4	4
LO3	4	4	4	4	4	4	4	4	4	4

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