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:

1411121002

Ders İsmi:

Discrete Mathematics

Ders Yarıyılı:

Spring

Ders Kredileri:

Theoretical	Practical	Credit	ECTS
3	0	3	5

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):

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:	To learn a particular set of mathematical facts and how to apply them and how to think mathematically.
Course Content:	Logic; Sets and Functions; Fundamentals of Algorithms; ; Graphs; Trees; Finite-State Machine with/without Output

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
1) The student will learn the basics of creating a mathematical model.
2) The student will learn mathematical concepts and terminology.
3) The student will know how to analyze recursive definitions, and how to use it.
4) The student will know how to perform mathematical proofs.
2 - Skills
Cognitive - Practical
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)	The Language of Mathematics	Lecture Notes
2)	Logic	Lecture Notes
3)	Sets Theory	Lecture Notes
4)	Functions	Lecture Notes
5)	Relations-I	Lecture Notes
6)	Relations-II	Lecture Notes
7)	Graph Theory-I	Lecture Notes
8)	Mid-Term	Lecture Notes
9)	Graph Theory-II	Lecture Notes
10)	Trees Theory	Lecture Notes
11)	Trees and their Applications	Lecture Notları
12)	Finite State Machine with/without output	Lecture Notes
13)	Student Presentations	Lecture Notes
14)	Final Exam	Lecture Notes

Sources

Course Notes / Textbooks:	Ders Notları/Lecture Notes
References:	Ders Notları/Lecture Notes

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları	1	2	3	4
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.
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

Öğrenme Etkinliği ve Öğretme Yöntemleri

Anlatım
Course
Homework

Ölçme ve Değerlendirme Yöntemleri ve Kriterleri

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

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Homework Assignments	1	% 30
Midterms	1	% 30
Semester Final Exam	1	% 40
total		% 100
PERCENTAGE OF SEMESTER WORK		% 60
PERCENTAGE OF FINAL WORK		% 40
total		% 100

İş Yükü ve AKTS Kredisi Hesaplaması

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	3	42
Study Hours Out of Class	14	3	42
Homework Assignments	1	30	30
Midterms	1	30	30
Final	1	15	15
Total Workload			159