Course Information
Course Title Code Semester T + P ECTS
Differential Equations (Physics) MAT276 4 2 + 2 3

Prerequisites

Language Turkish
Level Bachelor's Degree
Type Compulsory
Coordinator Assist.Prof. SEDAT ÇEVİKEL
Instructors Assist.Prof. SEDAT ÇEVİKEL, Assist.Prof. MUSTAFA YILDIZ
Goals Physics, engineering, medicine and other fields Ordinary Differential equations the use of differential and integral calculus. Classification of ordinary differential equations, solution methods of examination, examination of the boundary value and initial value problems.
Contents Definition and Classification of Ordinary Differential Equations, Geometric Meaning, Existence and Uniqueness, First Order Ordinary Differential Equations (Variables Seperable, Homogeneous, Linear, Bernoulli, Riccati, Exact Differential, Lagrange and Clairaut Type), High Order Differential Equations
Work Placement(s) Absent

Number Learning Outcomes
1 Application fields of differential and integral calculus to determine .
2 Definition of differential equations, solution techniques.
3 Initial value problems, boundary value problems examines the contributions of other sciences.
4 Helps the understanding of partial differential equations

Mode of Delivery Face-to-Face
Planned Learning Activities & Teaching Methods Lecture, questions and answers, discussion, problem solving.
Assessment Methods Midterm exam, homework, final exam



Course Content
Week Topics Study Materials
1 Introduction to Differential Equations, General Definitions and Classification study of differential and integral information
2 Establishment of Ordinary Differential Equations, Existence and Uniqueness, of solutions Study of the relevant section of suggested readings
3 Type of First Order Ordinary Differential Equations and Variables Seperable Differential Equations Study of the relevant section of suggested readings
4 Type can be made homogeneous and homogeneous equations and Exercises Study of the relevant section of suggested readings
5 Linear-type, Bernoulli Type Differential Equations and Applications Study of the relevant section of suggested readings
6 Exact differential equations, integral multiplier Study of the relevant section of suggested readings
7 Type of Riccati Differential Equations Study of the relevant section of suggested readings
8 general application study the overall subject
9 Midterm Exam study the overall subject
10 Clairaut, Lagrange Type Differential Equations Study of the relevant section of suggested readings
11 Higher Order Ordinary Differential Equations Study of the relevant section of suggested readings
12 Homogeneous and Non Homogeneous Linear Equations with Constant Coefficients Study of the relevant section of suggested readings
13 method of varying the parameters Study of the relevant section of suggested readings
14 General applications study the overall subject
15 Final exam study the overall subject



Sources
Textbook İ. Baki Yaşar, “Diferansiyel Denklemler ve Uygulamaları”, Siyasal Kitabevi, Ankara, 2009.
Additional Resources 1. Ömer Akın, “Diferansiyel Denklemler ve Sınır Değer Problemleri”, Palme Yayıncılık, Ankara, 2006. 2. Mahide Oruç, “Adi Türevli Diferansiyel Denklemler”, Ankara Üniversitesi Fen Fak. Yayınları, Ankara, 1976. 3. Ahmet Karadeniz, “Yüksek Matematik”, Cilt 3, Çağlayan Kitabevi, İstanbul, 1983. 4. Yavuz Aksoy, “Diferansiyel Denklemler”, Yıldız Teknik Üni. Yayınları, İstanbul, 2006. 5. L. Shepley Ross, “Differential Equations”, John Wiley & Sons, Inc., USA, 1974. 6. İhsan Dağ, “Bayağı Diferansiyel Denklemler”, Atatürk Üni. Yayınları, Erzurum, 1983.



Assessment System Quantity Percentage
In-Term Studies
Mid-terms 1 70
Quizzes 2 20
Assignments 1 10
In-Term Total 4 100
Contribution of In-Term Studies to Overall 40
Contribution of Final Exam to Overall 60
Total 100





Course's Contribution to PLO
No Key Learning Outcomes Level
1 2 3 4 5
1 Has textbooks containing current information, application tools and equipment , and advanced theoretical and practical knowledge supported by other resources in a scientific approach. x
2 Adapts and transfers the acquired knowledge to secondary education. x
3 Uses advanced institutional and practical knowledge acquired in the physics field. x
4 Updates the information on daily conditions. x
5 Comments on and evaluate the data by using advanced knowledge and skills acquired in the field, identifies and analyzes the current problems of technological developments, and comes up with solutions based on research and evidence. x
6 Has the ability to conceptualize the events and facts related with the field; analyze them with scientific methods and techniques. x
7 Designs and performs experiments to analyze the problems, collects data, performs analyzes and comment on the results. x
8 Carries out an advanced study related to the field independently. x
9 Takes on responsibility individually and as a team member in order to solve unpredictable and complex problems encountered in applications related to the field. x
10 Plans and manages the activities in a project under his responsibility for development. x
11 Plays a role in the process of decision making when faced with problems about different discipline fields. x
12 Uses time effectively in the process of inference with the ability of thinking analytically. x
13 Evaluates the advanced knowledge and skills acquired in the field with a critical perspective. x
14 Determines the learning requirements and leads the learning process. x
15 Develops a positive attitude towards lifelong learning. x
16 Is aware of the necessity of lifelong learning and develops his Professional knowledge and skills continuously. x
17 Informs people and organizations about the topics related to their fields; expresses his ideas and suggestions for solutions to problems in both oral and written form. x
18 Shares his ideas and suggestions for solutions to the problems with experts and non-experts by supporting them with quantitative and qualitative data. x
19 Organizes projects and activities for social environment he lives in with an awareness of social responsibility. x
20 Follows advances in the field and communicate with colleagues by using a foreign language at least at B1 level of European Language Portfolio. x
21 Uses information and communication technology along with software the Human Sciences the field requires at an advanced level. x
22 Uses his knowledge of human health and environmental awareness acquired in their fields for society’s ends. x
23 Behaves in a way adhering to the social, scientific, cultural and ethical values in the process of data collection, commenting, application, publicizing the results related with the field. x
24 Has a sufficient level of awareness about the universality of social rights, social justice, quality management, acting in a suitable way in processes and attendance (Instead of quality culture) the protection of cultural values, protection of the environment and health and security in the professional field. x



ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
Activities Quantity Duration (Hour) Total Work Load (h)
Course Duration 14 4 56
Hours for off-the-classroom study (Pre-study, practice) 14 1 14
Assignments 1 5 5
Mid-terms 1 10 10
Final examination 1 15 15
Total Work Load (h) 100
Total Work Load / 30 (h) 3.33
ECTS Credit of the Course 3