DEPARTMENT OF INDUSTRIAL ENGINEERING (ENGLISH)
Qualification Awarded	Program Süresi	Toplam Kredi (AKTS)	Öğretim Şekli	Yeterliliğin Düzeyi ve Öğrenme Alanı
Bachelor's (First Cycle) Degree	4	240	FULL TIME	TYÇ, TR-NQF-HE, EQF-LLL, ISCED (2011):Level 6 QF-EHEA:First Cycle TR-NQF-HE, ISCED (1997-2013): 44,52

Ders Genel Tanıtım Bilgileri

Course Code:

1400211015

Ders İsmi:

Differential Equations

Ders Yarıyılı:

Fall

Ders Kredileri:

Theoretical	Practical	Labs	Credit	ECTS
3	0	0	3	6

Language of instruction:

Ders Koşulu:

Ders İş Deneyimini Gerektiriyor mu?:

Other Recommended Topics for the Course:

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 :

Dr.Öğr.Üyesi Recep DURANAY

Course Lecturer(s):

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	Textbook
3)	1st Degree Differential Equations	Textbook
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)	Mideterm 1	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)	Final Exam	Textbook
16)	Final Exam	Textbook

Sources

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

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları	1	2	3
Program Outcomes
1) Engineering Knowledge: Knowledge in mathematics, science, basic engineering, computer computing.
2) Engineering Knowledge: Knowledge in subjects specific to the discipline of industrial engineering.
3) Engineering Knowledge: Ability to use this knowledge in solving complex engineering problems.
4) Problem Analysis: Ability to define, formulate and analyze complex engineering problems using basic science, mathematics and engineering knowledge and considering the UN Sustainable Development Goals*
5) Engineering Design: Ability to design creative solutions to complex engineering problems.
6) Engineering Design: Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions*.
7) Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations.
8) Research and Review: Ability to conduct literature research for the investigation of complex engineering problems.
9) Research and Review: Ability to design experiments for the investigation of complex engineering problems.
10) Research and Review: Ability to conduct experiments for the investigation of complex engineering problems.
11) Research and Investigation: Ability to collect data to investigate complex engineering problems.
12) Research and Review: Ability to analyze and interpret results for the investigation of complex engineering problems.
13) Research and Review: Ability to use research methods for the investigation of complex engineering problems.
14) Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability and the environment within the scope of the UN Sustainable
15) Global Impact of Engineering Practices: Awareness of the legal implications of engineering solutions.
16) Ethical Behavior: Acting in accordance with the principles of the engineering profession*, knowledge of ethical responsibility.
17) Ethical Behavior: Awareness of being impartial, non-discriminatory and inclusive of diversity.
18) Individual and Teamwork: Ability to work individually (face-to-face, remotely or mixed).
19) Individual and Teamwork: Ability to work effectively as a team member or leader in intra-disciplinary teams (face-to-face, remotely or mixed).
20) Individual and Teamwork: Ability to work effectively as a team member or leader in multi-disciplinary teams (face-to-face, remotely or mixed).
21) Oral and Written Communication: Ability to communicate effectively in technical matters, both verbally and in writing, taking into account the various differences of the target audience (such as education, language,profession).
22) Project Management: Knowledge of business practices such as project management and economic feasibility analysis.
23) Project Management: Awareness of entrepreneurship and innovation.
24) Lifelong Learning: Lifelong learning skills that include independent and continuous learning, adapting to new and developing technologies, and questioning thinking about technological changes.

Ders - Öğrenme Kazanımı İlişkisi

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

	Program Outcomes	Level of Contribution
1)	Engineering Knowledge: Knowledge in mathematics, science, basic engineering, computer computing.
2)	Engineering Knowledge: Knowledge in subjects specific to the discipline of industrial engineering.
3)	Engineering Knowledge: Ability to use this knowledge in solving complex engineering problems.
4)	Problem Analysis: Ability to define, formulate and analyze complex engineering problems using basic science, mathematics and engineering knowledge and considering the UN Sustainable Development Goals*
5)	Engineering Design: Ability to design creative solutions to complex engineering problems.
6)	Engineering Design: Ability to design complex systems, processes, devices or products to meet current and future needs, considering realistic constraints and conditions*.
7)	Use of Techniques and Tools: Ability to select and use appropriate techniques, resources, and modern engineering and computing tools, including estimation and modeling, for the analysis and solution of complex engineering problems, while being aware of their limitations.
8)	Research and Review: Ability to conduct literature research for the investigation of complex engineering problems.
9)	Research and Review: Ability to design experiments for the investigation of complex engineering problems.
10)	Research and Review: Ability to conduct experiments for the investigation of complex engineering problems.
11)	Research and Investigation: Ability to collect data to investigate complex engineering problems.
12)	Research and Review: Ability to analyze and interpret results for the investigation of complex engineering problems.
13)	Research and Review: Ability to use research methods for the investigation of complex engineering problems.
14)	Global Impact of Engineering Practices: Knowledge of the impacts of engineering practices on society, health and safety, economy, sustainability and the environment within the scope of the UN Sustainable
15)	Global Impact of Engineering Practices: Awareness of the legal implications of engineering solutions.
16)	Ethical Behavior: Acting in accordance with the principles of the engineering profession*, knowledge of ethical responsibility.
17)	Ethical Behavior: Awareness of being impartial, non-discriminatory and inclusive of diversity.
18)	Individual and Teamwork: Ability to work individually (face-to-face, remotely or mixed).
19)	Individual and Teamwork: Ability to work effectively as a team member or leader in intra-disciplinary teams (face-to-face, remotely or mixed).
20)	Individual and Teamwork: Ability to work effectively as a team member or leader in multi-disciplinary teams (face-to-face, remotely or mixed).
21)	Oral and Written Communication: Ability to communicate effectively in technical matters, both verbally and in writing, taking into account the various differences of the target audience (such as education, language,profession).
22)	Project Management: Knowledge of business practices such as project management and economic feasibility analysis.
23)	Project Management: Awareness of entrepreneurship and innovation.
24)	Lifelong Learning: Lifelong learning skills that include independent and continuous learning, adapting to new and developing technologies, and questioning thinking about technological changes.

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