Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
MAT-23-200OrdInary DIfferentIal EquatIons IIElective126
Level of Course Unit
Second 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
1At the end of this course, students will be able to produce solutions to the problems they may encounter.
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
Conversion of linear differential equations from the secondary document and characteristics of solutions Investigation of differential equations with quote series aid Hypergeometric equation Bessel equation Boundary value problems Linear non-homogenous systems General questions of system theory for normal and symmetrical forms Stability conditions for the first approach Systems of homogeneous linear differential equations Linear systems with constant coefficients The stability of solutions of differential equations Investigation of stability with Lyapunov function Phase plane
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Conversion of linear differential equations from the secondary document and characteristics of solutions
2Investigation of differential equations with quote series aid
3Hypergeometric equation
4Bessel equation
5Boundary value problems
6Linear non-homogenous systems
7General questions of system theory for normal and symmetrical forms
8Midterm exam
9Stability conditions for the first approach
10Systems of homogeneous linear differential equations
11Linear systems with constant coefficients
12The stability of solutions of differential equations
13Investigation of stability with Lyapunov function
14Phase plane
15Final exam
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 Activities50
End Of Term (or Year) Learning Activities50
SUM100
Language of Instruction
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination111
Final Examination122
Attending Lectures14342
Brain Storming14342
Individual Study for Mid term Examination15050
Individual Study for Final Examination15050
TOTAL WORKLOAD (hours)187
Contribution of Learning Outcomes to Programme Outcomes
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1
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11
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
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