Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT-23-100DIFERANTIAL EQUATIONElective116
Level of Course Unit
Third Cycle
Objectives of the Course
The aim of this course, students to recognize differential equations, determination of the concept of stability. To introduce the application areas of differential equations.
Name of Lecturer(s)
Prof. Dr. Elman Hazar
Learning Outcomes
1Expression
2Article critique
3Presentation and preparation
4
5
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
It is need to know the basic facts of Mathematical Analysis, Linear Algebra
Recommended Optional Programme Components
None
Course Contents
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Second order linear differential equations
2Transformation of equations and properties of solutions
3Integration of differential equations by force series
4Bessel's equation
5Boundary value problem
6Systems of differential equations
7Normal and symmetric forums
8Homogeneoues linear differential equations
9Linear systems with constant coefficients
10Linear non-homogenous systems
11The concept of stability of solutions of differential equations
12The stability of the solutions of the system of homogeneous linear differential equations
13Stability conditions for the first approach
14Investigation of stability with Lyapunov condition
15Theorem of Barbashin Krasnov
16Phase plane
Recommended or Required Reading
Diferansiyel Denklemler ve Çözümlü Problemler. Samoylenko A M…..Çevirehler:Doç.Dr Elman Hazar,şıl Arda,Elşad Aliyev.Sakarya 2013. Matematik Analiz Alıştırmalar ve Problemler Derlemesi.Demidoviç B….Çevirenler F.Akbulut-A.Çalışkan.Izmir 1992.
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
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination111
Final Examination122
Discussion16348
Criticising Paper16348
Individual Study for Mid term Examination14545
Individual Study for Final Examination14545
TOTAL WORKLOAD (hours)189
Contribution of Learning Outcomes to Programme Outcomes
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1
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3
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4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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