Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
180104003100DIFFERENTIAL EQUATIAONSCompulsory235
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
1being able to define different type of differential equations
2Being able to establish the differential equations of some physical problems
3being able to solve the first order ordinary diferential equations,
4being 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
WeekTheoreticalPracticeLaboratory
1Definition and Classification of Differential Equations
2Separable Differential Equations, Convertible Differential equations to separable form and, modeling
3Exact Differential Equations,Convertible Differential equations to exact differential equation form (Integrating factor)
4the first order linear differential equations and their solving ways(integrating factors and the method of variation of parameters
5Reduction to Linear form -Bernoulli Equation
62th order differential equations-homogenous linear differential equations
7Midterm Exam
8Euler-Cauchy differential equations, Differential operators, existince -uniqueness theory and Wronskian
92th order non-homogeneous differential equations and solution methods( undetermined coefficients method and, the method of variation of parameters)
102th order non-homogeneous Euler-Cauchy differential equations and solution method( undetermined coefficients method and, the method of variation of parameters)
11High order homogeneous and non-homogeneous differential equations and solution methods( undetermined coefficients method and, the method of variation of parameters)
12High order homogeneous and non-homogeneous differential equations and solution methods( undetermined coefficients method and, the method of variation of parameters)
13Solution of differential equations with Laplace Tranforms
14Solution of differential equations with Laplace Tranforms
15Final 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 ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Work Placement(s)
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Attending Lectures14342
Individual Study for Mid term Examination12020
Individual Study for Final Examination12424
Homework41248
TOTAL WORKLOAD (hours)138
Contribution of Learning Outcomes to Programme Outcomes
LO1
LO2
LO3
LO4
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476 226 13 14 • e-mail: info@igdir.edu.tr