Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
4MAT212Differential Equations3+0+03630.10.2026
Course Details
Language of Instruction Turkish
Level of Course Unit Bachelor's Degree
Department / Program Industrial Engineering
Type of Program Formal Education
Type of Course Unit Compulsory
Course Delivery Method Face To Face
Objectives of the Course The objective of this course is to provide students with an understanding of the fundamental concepts and solution methods of differential equations, which are used to construct and analyze mathematical models of physical and technical problems encountered in engineering fields. Students will acquire the skills to identify and classify differential equations, apply solution techniques, and adapt these methods to engineering applications.
Course Content The course includes first-order and first-order differential equations, higher-order differential equations, higher-order linear and nonlinear differential equations, Laplace transforms, and applications of integral equations.
Course Methods and Techniques insite
Prerequisites and co-requisities None
Course Coordinator None
Name of Lecturers Associate Prof.Dr. SERKAN ARACI
Assistants None
Work Placement(s) No

Recommended or Required Reading
Resources
Course Notes Pişkin, Erhan. Diferansiyel Denklemler: Teori ve Çözümlü Problemlerle. ISBN: 978-975-02-9124-1, Türkçe, 2024,
464 sayfa
Maden, Selahattin. Diferansiyel Denklemler. ISBN: 978-975-02-4153-6. Türkçe, 2017, 383 Sayfa.
Documents .
Assignments .
Exams .

Course Category
Mathematics and Basic Sciences %100

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
In-Term Studies Quantity Percentage
Mid-terms 1 % 40
Final examination 1 % 60
Total
2
% 100

 
ECTS Allocated Based on Student Workload
Activities Quantity Duration Total Work Load
Course Duration 42 3 126
Hours for off-the-c.r.stud 25 2 50
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 Birinci mertebeden ve yüksek mertebeden diferansiyel denklemleri tanır, sınıflandırır ve analitik çözüm yöntemlerini uygular.
2 Lineer ve nonlineer diferansiyel denklemler ile fiziksel ve mühendislik problemlerini matematiksel olarak modelleyebilir.
3 Laplace dönüşümünü kullanarak başlangıç değer problemlerini çözebilir ve integral denklemlerini (Volterra, Fredholm) analiz edebilir.
4 Mühendislikte karşılaşılan sistemleri çözümlemede integral denklemi uygulamalarını kullanabilir.

 
Weekly Detailed Course Contents
WeekTopicsStudy MaterialsMaterials
1 Course Introduction – Basic Concepts Regarding Differential Equations
2 Değişkenlerine Ayrılabilen, Homojen, Homojen hale dönüştürülebilen diferansiyel denklemler
3 Exact Differential Equations, Integrating Factor, Linear and Bernoulli Differential Equations
4 Riccati Differential Equations, Clairaut Differential Equations, Lagrange Differential Equations
5 The solution of differential equations containing or not containing derivatives of x and y
6 Linear Differential Equations with Constant Coefficients (Homogeneous/Non-homogeneous)
7 Sabit Katsayılı Homojen/Homojen olmayan Lineer Diferansiyel Denklemler
8 Ara Sınav Haftası
9 Higher-Order Nonlinear Differential Equations

 
Contribution of Learning Outcomes to Programme Outcomes
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11 P12 P13 P14 P15 P16 P17 P18 P19 P20 P21 P22 P23 P24
C1
C2
C3
C4

  Contribution: 1: Very Slight 2:Slight 3:Moderate 4:Significant 5:Very Significant