DEPARTMENT OF INDUSTRIAL ENGINEERING (ENGLISH)
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Ders Genel Tanıtım Bilgileri

Course Code:

1411211013

Ders İsmi:

Differential Equations

Ders Yarıyılı:

Fall

Ders Kredileri:

Theoretical	Practical	Credit	ECTS
3	0	3	6

Language of instruction:

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Type of course:

Necessary

Course Level:

Bachelor

TR-NQF-HE:6. Master`s Degree

QF-EHEA:First Cycle

EQF-LLL:6. Master`s Degree

Mode of Delivery:

Face to face

Course Coordinator :

Prof. Dr. Ramazan YAMAN

Course Lecturer(s):

Prof. Dr. Naim Mahmood Musleh AJLOUNI

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:	To develop mathematical thinking and solve problems encountered in mathematics, physics and engineering.
Course Content:	First order ordinary differential equations (homogeneous and inhomogeneous cases, direct integration, integral factors, substitution). Second order ordinary differential equations (change of parameters, reduction of order). Laplace transformations and applications. Power series solutions of second order linear differential equations, Frobenius method.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
1) Solves some ordinary differential equations using power series.
2 - Skills
Cognitive - Practical
3 - Competences
Communication and Social Competence
Learning Competence
1) Solves some ordinary differential equations of first and second order with appropriate solution methods.
2) Know the Laplace transform and use it to solve some ordinary differential equations.
Field Specific Competence
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week	Subject	Related Preparation
1)	Introduction (Basic definitions, classification of differential equations), Separable equations, Homogeneous equations	textbook
2)	1st DEGREE DIFFERENTIAL EQUATIONS	TEXT BOOK
3)	1st DEGREE DIFFERENTIAL EQUATIONS	TEXT BOOK
4)	Differential equations that can be separated into variables, Solutions of homogeneous differential equations	textbook
5)	Exact differential equations	textbook
6)	Integration factor for exact differential equations, Differential equations that are also homogeneous and complete differential equations, Linear differential equations	textbook
7)	Bernoulli Differential Equation, Riccati Diferansiyel Denklemi	textbook
8)	Midterm1	textbook
9)	Clairaut Differential equation, Lagrange Differential equation	textbook
10)	Higher order differential equations	textbook
11)	The dependent variable and the first k. differential equations with no derivatives of order	textbook
12)	Quadratic constant coefficient differential equations	textbook
13)	n. differential equations with constant coefficients, Euler's differential equation	textbook
14)	Differential equation systems	textbook
15)	Differential equation systems	textbook
16)	final	text book

Sources

Course Notes / Textbooks:	W. Boyce and R. DiPrima, Elementary Di_erential Equations and Boundary Value Problems, 9th Ed., Wiley (2009)
References:	Okutman notları

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları	1	2	3
Program Outcomes
1) Adequate knowledge of mathematics (a), science (b) and industrial engineering (c) (1) and the ability to use this knowledge in complex engineering problems.
2) Ability to work effectively both individually and in interdisciplinary and multidisciplinary teams.
3) Awareness of the necessity of lifelong learning and the ability to access information, to follow developments in science and technology, and to constantly renew oneself.
4) Knowledge of project management, risk management, innovation and change management, entrepreneurship and sustainable development
5) Awareness of the sectors and the ability to prepare a business plan.
6) Professional and ethical responsibility awareness and acting in accordance with ethical principles.
7) Information about the problems of the age in the field of engineering and the effects and legal consequences of engineering practices on health, environment and safety in universal and social dimensions.
8) Information about current engineering practices and standards used in engineering practices.
9) The ability to identify, formulate and solve complex engineering problems, and the ability to select and apply appropriate analysis and modeling methods for this purpose.
10) The ability to design a complex system, process, device or product using modern methods under realistic constraints and conditions and to meet specific requirements.
11) The ability to develop, select and use modern techniques and tools necessary for the solution of engineering problems, and the ability to use information technologies effectively.
12) Ability to design and conduct experiments, collect data, analyze data and interpret results for the study of engineering problems or research issues.
13) Ability to communicate effectively, write reports and make presentations in Turkish and English with oral, written and visual methods.
14) In-depth knowledge of appropriate analytical and experimental methods and computational methods for system integration such as simulation (a), production systems (b) operations research (c) and statistics (d).
15) Skills in designing (a) and improving (b), defining goals and criteria (c), analyzing (d) and developing solutions (e) systems that include people, materials, information, equipment and energy to creatively solve real-life problems

Ders - Öğrenme Kazanımı İlişkisi

No Effect	1 Lowest	2 Low	3 Average	4 High	5 Highest

	Program Outcomes	Level of Contribution
1)	Adequate knowledge of mathematics (a), science (b) and industrial engineering (c) (1) and the ability to use this knowledge in complex engineering problems.	5
2)	Ability to work effectively both individually and in interdisciplinary and multidisciplinary teams.
3)	Awareness of the necessity of lifelong learning and the ability to access information, to follow developments in science and technology, and to constantly renew oneself.
4)	Knowledge of project management, risk management, innovation and change management, entrepreneurship and sustainable development
5)	Awareness of the sectors and the ability to prepare a business plan.
6)	Professional and ethical responsibility awareness and acting in accordance with ethical principles.
7)	Information about the problems of the age in the field of engineering and the effects and legal consequences of engineering practices on health, environment and safety in universal and social dimensions.
8)	Information about current engineering practices and standards used in engineering practices.
9)	The ability to identify, formulate and solve complex engineering problems, and the ability to select and apply appropriate analysis and modeling methods for this purpose.
10)	The ability to design a complex system, process, device or product using modern methods under realistic constraints and conditions and to meet specific requirements.	5
11)	The ability to develop, select and use modern techniques and tools necessary for the solution of engineering problems, and the ability to use information technologies effectively.
12)	Ability to design and conduct experiments, collect data, analyze data and interpret results for the study of engineering problems or research issues.	4
13)	Ability to communicate effectively, write reports and make presentations in Turkish and English with oral, written and visual methods.
14)	In-depth knowledge of appropriate analytical and experimental methods and computational methods for system integration such as simulation (a), production systems (b) operations research (c) and statistics (d).
15)	Skills in designing (a) and improving (b), defining goals and criteria (c), analyzing (d) and developing solutions (e) systems that include people, materials, information, equipment and energy to creatively solve real-life problems	3

Öğrenme Etkinliği ve Öğretme Yöntemleri

Course
Homework
Problem Çözme

Ölçme ve Değerlendirme Yöntemleri ve Kriterleri

Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama)
Homework
Uygulama

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Quizzes	2	% 10
Midterms	1	% 40
Semester Final Exam	1	% 50
total		% 100
PERCENTAGE OF SEMESTER WORK		% 50
PERCENTAGE OF FINAL WORK		% 50
total		% 100

İş Yükü ve AKTS Kredisi Hesaplaması

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	4	56
Study Hours Out of Class	14	6	84
Homework Assignments	5	3	15
Midterms	2	2	4
Final	1	3	3
Total Workload			162