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
180104003100	DIFFERENTIAL EQUATIAONS	Compulsory	2	3	5

Level of Course Unit

First Cycle

Objectives of the Course

to introduce different types of differential equations in engineering problems and, to investigate the solving process of them.

Name of Lecturer(s)

Dr.Öğr.Üyesi Melih YILDIZ

Learning Outcomes

1	being able to define different type of differential equations
2	Being able to establish the differential equations of some physical problems
3	being able to solve the first order ordinary diferential equations,
4	being able to solve some differential equations with higher order ordinary diferential equations,

Mode of Delivery

Daytime Class

Prerequisites and co-requisities

no prerequisties

Recommended Optional Programme Components

to solve differantial equations requires a reasonable math background, therefore; it is strongly recommended that students review the basic topics such as dependent and independent variables, continuous and discontinuous functions, ordinary and partial derivates and, integrals before attending the course.

Course Contents

defining different types of differential equations and, solutions of 1th and high order differential equations in various ways.

Weekly Detailed Course Contents

Week	Theoretical	Practice	Laboratory
1	Definition and Classification of Differential Equations
2	Separable Differential Equations, Convertible Differential equations to separable form and, modeling
3	Exact Differential Equations,Convertible Differential equations to exact differential equation form (Integrating factor)
4	the first order linear differential equations and their solving ways(integrating factors and the method of variation of parameters
5	Reduction to Linear form -Bernoulli Equation
6	2th order differential equations-homogenous linear differential equations
7	Midterm Exam
8	Euler-Cauchy differential equations, Differential operators, existince -uniqueness theory and Wronskian
9	2th order non-homogeneous differential equations and solution methods( undetermined coefficients method and, the method of variation of parameters)
10	2th order non-homogeneous Euler-Cauchy differential equations and solution method( undetermined coefficients method and, the method of variation of parameters)
11	High order homogeneous and non-homogeneous differential equations and solution methods( undetermined coefficients method and, the method of variation of parameters)
12	High order homogeneous and non-homogeneous differential equations and solution methods( undetermined coefficients method and, the method of variation of parameters)
13	Solution of differential equations with Laplace Tranforms
14	Solution of differential equations with Laplace Tranforms
15	Final Exam

Recommended or Required Reading

Erwin Kreyszig, "Advanced Engineering Mathematics", 9th edition,Waley Çengel, Y.A, Palm, W.J. Mühendisler ve Fen Bilimleri için Diferansiyel Denklemler,(Editor: Tahsin Engin),Güven Kitabevi, İzmir. Başarı, M.,Turker, E.S., Çözümlü Problemlerle Diferansiyel Denklemler, 2003, Değişim Yayınları.

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

Turkish

Work Placement(s)

Workload Calculation

Activities	Number	Time (hours)	Total Work Load (hours)
Midterm Examination	1	2	2
Final Examination	1	2	2
Attending Lectures	14	3	42
Individual Study for Mid term Examination	1	20	20
Individual Study for Final Examination	1	24	24
Homework	4	12	48
TOTAL WORKLOAD (hours)			138

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	PO 11
LO1	4	4	1	1	1	1	1	1	1	1	1
LO2	5	5	1	1	1	1	1	1	1	1	1
LO3	5	5	1	1	1	1	1	1	1	1	1
LO4	5	5	1	1	1	1	1	1	1	1	1

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