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

Ders Genel Tanıtım Bilgileri

Course Code:

1400121008

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 :

Assoc. Prof. Esengül SALTÜRK

Course Lecturer(s):

Assoc. Prof. Esengül SALTÜRK

Course Assistants:

Dersin Amaç ve İçeriği

Course Objectives:	The aim of the course is to provide logical thinking and mathematical reasoning and so that the students can be well prepared for the understanding of modern computation.
Course Content:	Logic. Basic proof techniques. Set theory. Relations. Functions. Algorithms. Properties of integers. Counting techniques. Graphs. Trees.

Learning Outcomes

The students who have succeeded in this course;

Learning Outcomes

1 - Knowledge
Theoretical - Conceptual
1) Learn basic mathematical notations and some proof techniques and apply them in problem solving.
2 - Skills
Cognitive - Practical
1) Learn graphs and use them in real life problems.
3 - Competences
Communication and Social Competence
Learning Competence
1) Understand basic concepts such as sets, relations and functions.
2) Learn the concept of algorithms and use it to count discrete structures.
Field Specific Competence
1) Learn the basics of integers, divisibility and modular arithmetic.
Competence to Work Independently and Take Responsibility

Ders Akış Planı

Week	Subject	Related Preparation
1)	Logic	Textbook
2)	Logic	Textbook
3)	Methods of Proof	Textbook
4)	Methods of Proof	Textbook
5)	Set Theory	Textbook
6)	Relations	Textbook
7)	Functions	Textbook
8)	Midterm Exam	Textbook
9)	Algorithms	Helper
10)	Properties of Integers	Textbook
11)	Properties of Integers	Textbook
12)	Midterm	Textbook
13)	Counting and Permutations	Textbook
14)	Advanced Counting Techniques	Textbook
15)	Graphs and Modular Arihmetic	Textbook
16)	Final Exam	Textbook

Sources

Course Notes / Textbooks:	1) Ders Kitabı: Discrete Mathematics Resources. The textbook is free at: https://sites.google.com/view/discretemathematicsresources/home 2) Yardımcı Kitap: Discrete Mathematics and Its Applications, Kenneth H. Rosen, McGraw-Hill.
References:	1) Textbook: Discrete Mathematics Resources. The textbook is free at: https://sites.google.com/view/discretemathematicsresources/home 2) Discrete Mathematics and Its Applications, Kenneth H. Rosen, McGraw-Hill.

Ders - Program Öğrenme Kazanım İlişkisi

Ders Öğrenme Kazanımları	1	2	3	4	5
Program Outcomes
1) Competent knowledge of mathematics, science and technology, and computer engineering; ability to apply this knowledge to engineering solutions.
2) Skills to design and conduct experiments, collect data, analyze and interpret results.
3) Ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; ability to apply modern design methods for this purpose.
4) Ability to develop, select and use modern techniques and tools required for analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively.
5) Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics.
6) Ability to work effectively in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7) Ability to communicate effectively in Turkish, both orally and in writing; Knowledge of at least one foreign language; the ability to write and understand written reports effectively, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
8) Awareness of the necessity of lifelong learning; the ability to access information, to follow developments in science and technology, and to constantly renew oneself.
9) Acting in accordance with ethical principles, professional and ethical responsibility awareness; information about standards used in engineering applications.
10) Information about business life practices such as project management, risk management and change management; awareness of entrepreneurship, innovation; information about sustainable development.
11) Knowledge about the universal and social effects of engineering applications on health, environment and safety and the problems of the age reflected in the field of engineering; awareness of the legal consequences 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)	Competent knowledge of mathematics, science and technology, and computer engineering; ability to apply this knowledge to engineering solutions.	5
2)	Skills to design and conduct experiments, collect data, analyze and interpret results.	5
3)	Ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; ability to apply modern design methods for this purpose.
4)	Ability to develop, select and use modern techniques and tools required for analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively.	3
5)	Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics.
6)	Ability to work effectively in intra-disciplinary and multi-disciplinary teams; ability to work individually.
7)	Ability to communicate effectively in Turkish, both orally and in writing; Knowledge of at least one foreign language; the ability to write and understand written reports effectively, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions.
8)	Awareness of the necessity of lifelong learning; the ability to access information, to follow developments in science and technology, and to constantly renew oneself.
9)	Acting in accordance with ethical principles, professional and ethical responsibility awareness; information about standards used in engineering applications.
10)	Information about business life practices such as project management, risk management and change management; awareness of entrepreneurship, innovation; information about sustainable development.
11)	Knowledge about the universal and social effects of engineering applications on health, environment and safety and the problems of the age reflected in the field of engineering; awareness of the legal consequences of engineering solutions.

Öğrenme Etkinliği ve Öğretme Yöntemleri

Alan Çalışması
Beyin fırtınası /Altı şapka
Problem Çözme
Soru cevap/ Tartışma

Ölçme ve Değerlendirme Yöntemleri ve Kriterleri

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

Assessment & Grading

Semester Requirements	Number of Activities	Level of Contribution
Midterms	2	% 60
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	16	3	48
Study Hours Out of Class	19	5	95
Midterms	2	2	4
Final	1	3	3
Total Workload			150