Industrial Engineering
Bachelor TR-NQF-HE: Level 6 QF-EHEA: First Cycle EQF-LLL: Level 6

Ders Genel Tanıtım Bilgileri

Course Code: FEC208
Ders İsmi: Differential Equations
Ders Yarıyılı: Spring
Ders Kredileri:
Theoretical Practical Laboratory ECTS
4 0 0 6
Language of instruction: Turkish
Ders Koşulu:
Ders İş Deneyimini Gerektiriyor mu?: Yes
Type of course: Required
Course Level:
Bachelor TR-NQF-HE:6. Master`s Degree QF-EHEA:First Cycle EQF-LLL:6. Master`s Degree
Mode of Delivery: E-Learning
Course Coordinator : Assoc. Prof. Dr. MERVE ERSOY
Course Lecturer(s):

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives: To provide students with mathematical knowledge about differential equations and the ability to use this knowledge in mathematical problems they will encounter.
Course Content: This course covers the basic concepts and models of differential equations, first-order differential equations, separable, homogeneous, linear, Bernoulli and Riccati differential equations, exact differential equations and integration factor, first-order higher-order equations, higher-order differential equations, high constant coefficients. It covers order differential equations, method of variation of parameters, differential equations with variable coefficients, systems of differential equations, laplace transforms.

Learning Outcomes

The students who have succeeded in this course;
Learning Outcomes
1 - Knowledge
Theoretical - Conceptual
1) Defines the differential equation.
2) Solves the kinds of homogeneous, linear, exact differential equations that can be separated into their variables.
3) Solves Bernoulli and Riccati differential equations.
4) Solves second and higher order linear differential equations with constant coefficients.
2 - Skills
Cognitive - Practical
1) Solves differential equations with the help of Laplace transforms.
3 - Competences
Communication and Social Competence
Learning Competence
Field Specific Competence
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week Subject Related Preparation
1) Basic concepts and models of differential equations Textbook
2) Separable and Homogeneous Differential Equations Textbook
3) Linear and Bernoulli differential equations Textbook
4) Riccati and Exact differential equations Textbook
5) Integration factor Textbook
6) First-order higher-order equations Textbook
7) Higher order differential equations Textbook
8) Mid term Textbook
9) High-order differential with constant coefficients equations Textbook
10) Method of change of parameters Textbook
11) Differential equations with variable coefficients Textbook
12) Differential Equation Systems Textbook
13) Laplace Transforms Textbook
14) Laplace Transforms Textbook
15) Final Textbook

Sources

Course Notes / Textbooks: 1- Elementary Differential Equations and Boundary Value Problems, William E. Boyce and
Richard C. DiPrima, 6-th edition.
2- Shepley L. Ross, Introduction to Ordinary Differential Equations, Ginn and Company
3- Diferansiyel Denklemler ve Mathematica, Yusuf Cesur, 2011
References: 1- M. Çağlayan, N. Çelik ve S. Doğan, Adi Diferensiyel Denklemler, Dora Yayın, 2008.
2- Shaums Serisi, Differential Equations, Mc Graw Hill 1955.

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları

1

2

3

4

5
Program Outcomes
1) Adequate knowledge in the fields of mathematics and science; ability to use theoretical and practical knowledge in these fields.
2) Adequate knowledge in subjects specific to the relevant engineering discipline; ability to use theoretical and applied knowledge in these areas to solve complex engineering problems.
3) Ability to identify, formulate and solve complex engineering problems.
4) Ability to select and apply appropriate analysis and modeling methods to complex engineering problems.
5) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements.
6) Ability to apply modern design methods to design a complex system, process, device or product.
7) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice.
8) Ability to use information technologies effectively to analyze and solve complex problems encountered in engineering applications.
9) Ability to design and conduct experiments to investigate complex engineering problems or discipline-specific research topics.
10) Ability to collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics.
11) Ability to work effectively in disciplinary teams.
12) Ability to work effectively in multidisciplinary teams.
13) Individual working skills.
14) Ability to communicate effectively both orally and in writing.
15) Knowledge of at least one foreign language.
16) Effective report writing and comprehension of written reports, ability to prepare design and production reports.
17) Ability to make effective presentations, give and receive clear and understandable instructions.
18) Awareness of the necessity of lifelong learning.
19) Ability to access information, to follow developments in science and technology and to continuously renew oneself.
20) Knowledge about acting in accordance with ethical principles, professional and ethical responsibility and standards used in engineering practices.
21) Knowledge of business practices such as project management, risk management and change management.
22) Awareness about entrepreneurship and innovation.
23) Knowledge about sustainable development.
24) Knowledge about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems of the era reflected in the field of engineering.
25) Awareness of the legal implications of engineering solutions.

Ders - Öğrenme Kazanımı İlişkisi

No Effect 1 Lowest 2 Low 3 Average 4 High 5 Highest
           
Program Outcomes Level of Contribution
1) Adequate knowledge in the fields of mathematics and science; ability to use theoretical and practical knowledge in these fields. 5
2) Adequate knowledge in subjects specific to the relevant engineering discipline; ability to use theoretical and applied knowledge in these areas to solve complex engineering problems. 4
3) Ability to identify, formulate and solve complex engineering problems. 5
4) Ability to select and apply appropriate analysis and modeling methods to complex engineering problems. 4
5) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements.
6) Ability to apply modern design methods to design a complex system, process, device or product.
7) Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice.
8) Ability to use information technologies effectively to analyze and solve complex problems encountered in engineering applications.
9) Ability to design and conduct experiments to investigate complex engineering problems or discipline-specific research topics.
10) Ability to collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics.
11) Ability to work effectively in disciplinary teams.
12) Ability to work effectively in multidisciplinary teams.
13) Individual working skills.
14) Ability to communicate effectively both orally and in writing.
15) Knowledge of at least one foreign language.
16) Effective report writing and comprehension of written reports, ability to prepare design and production reports.
17) Ability to make effective presentations, give and receive clear and understandable instructions.
18) Awareness of the necessity of lifelong learning.
19) Ability to access information, to follow developments in science and technology and to continuously renew oneself.
20) Knowledge about acting in accordance with ethical principles, professional and ethical responsibility and standards used in engineering practices.
21) Knowledge of business practices such as project management, risk management and change management.
22) Awareness about entrepreneurship and innovation.
23) Knowledge about sustainable development.
24) Knowledge about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems of the era reflected in the field of engineering.
25) Awareness of the legal implications of engineering solutions.

Assessment & Grading

Semester Requirements Number of Activities Level of Contribution
Midterms 1 % 50
Final 1 % 50
total % 100
PERCENTAGE OF SEMESTER WORK % 50
PERCENTAGE OF FINAL WORK % 50
total % 100