Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS Credits
3MATH220Differential Equations3+0+035

Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program Mechatronics Engineering (English)
Mode of Delivery Face to Face
Type of Course Unit Compulsory
Objectives of the Course The general pourpose of this course is to provide an understanding of ordinary differential equations (ODEs), and to give methods for solving them. Because differential equations express relationships between changing quantities, this material is applicable to many fields, and is essential for students of engineering and physical sciences.
Course Content Basic concepts and classifying differential equations, First-order diffential equations and their engineering applications, Second and higher order differential equations and engineering applications, Power series solutions of linear equations with variable coefficients, Systems of linear differential equations: Scalar and Matrix methods, Laplace trasnformations, Numerical methods for ordinary differential equations.
Course Methods and Techniques
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Asist Prof. Türkan Yeliz Gökçer Ellidokuz
Asist Prof.Dr. Pegah MUTLU
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources Çengel, Y. A. ve Palm, W. J. (Türkçesi: Tahsin Engin), 2012, Mühendisler ve Fen Bilimciler İçin Diferansiyel Denklemler, Güven Kitabevi, İzmir.
Türker, E. S. ve Başarır, M., 2003, Çözümlü Problemlerle Diferansiyel Denklemler, Değişim Kitabevi, Sakarya.
Bronson, R.,1993, (Türkçesi: Hilmi Hacısalihoğlu), Diferansiyel Denklemler, Schaum´s Outlines, Nobel Kitabevi, Ankara.
Edwards, C. H.ve Penney, D. E., (Türkçesi: Ömer Akın) 2008, Diferansiyel Denklemler ve Sınır Değer Problemleri,
Lecture
1 ara sınav, 1 dönem sonu sınavı

Course Category
Mathematics and Basic Sciences %80
Engineering %100
Engineering Design %60

Planned Learning Activities and Teaching Methods
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria
Veri yok

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 14 4 56
Hours for off-the-c.r.stud 14 8 112
Assignments 1 8 8
Mid-terms 1 2 2
Final examination 1 2 2
Total Work Load   Number of ECTS Credits 6 180

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:
NoLearning Outcomes
1 Define terminology which are widely employed in differential equations
2 Verify that a given function is solution of a differential equation
3 Solve problems of ordinary differential equations and system of differential equations
4 Apply knowledge of differential equations in order to solve real-world engineering problems


Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Basic Concepts and Classifying Differential Equations
2 Solutions of First-Order Differential Equations, Linear First-Order Equations
3 Non-Linear First Order Equations, Separable and Exact First-Order Equations, Graphical Methods
4 Computer Methods for First-Order Equations, Engineering Applications of First-Order Differential Equations
5 Second-Order Linear Equations: Linear Independence, Homogeneous Equations with Constant Coefficients
6 Second-Order Linear Equations: Method of Undetermined Coefficients and Method of Variation of Parameters
7 Second-Order Euler Equation, Computer Methods ve Second Order Linear Equations
8 Engineering Applications of Second-Order Linear Equations
9 MIDTERM EXAM
10 Higher-Order Linear Differential Equations
11 Linear Differential Equations with Variable Coefficients: Power Series Method
12 System of Linear Differential Equations: Scalar Methods
13 System of Linear Differential Equations: Matrix Methods
14 Laplace Transform Method
15 Introduction to Numerical Methods for First-Order Linear Equations
16 FINAL EXAM


Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12
All 5 5 3 3 4 4 4 4 4 3 3
C1 4 4 3 3 4 4 4 4 4 3 3
C2 5 5 3 3 4 4 4 4 4 3 3
C3 4 4 3 3 4 4 4 4 4 3 2
C4 4 4 3 3 4 4 4 4 4 2 3

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