COMPUTER ENGINEERING
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code	Course Name	Semester	Theoretical	Practical	Credit	ECTS
MAT2033	Discrete Mathematics	Fall	3	0	3	6

Basic information

Language of instruction:	English
Type of course:	Must Course
Course Level:	Bachelor’s Degree (First Cycle)
Mode of Delivery:	Face to face
Course Coordinator :	Instructor MAHMOUD JAFARI SHAH BELAGHI
Course Lecturer(s):	Prof. Dr. MURAT SARI Prof. Dr. NAFİZ ARICA
Recommended Optional Program Components:	None
Course Objectives:	To provide the necessary background in discrete mathematical structures for students who would work which involves machine calculation. To teach basic algorithms on discrete structures.

Learning Outcomes

The students who have succeeded in this course;
1. Understand the basic principles of Logic.
2. Understand the basic principles of sets and operations in sets.
3. Understand methods of mathematical proofs, and be able to apply them in problem solving.
4. Demonstrate relations and determine their properties.
5. Demonstrate functions and determine when a function is 1-1 and "onto".
6. Understand some basic properties of number theory and mathematical cryptography.
7. Understand and use some basic properties of graphs.

Course Content

Mathematical logic, induction, set theory, relations, functions, graphs, number theory, and mathematical cryptography

Weekly Detailed Course Contents

Week	Subject	Related Preparation
1)	Propositional Logic
2)	Propositional Equivalences
3)	Predicates and Quantifiers
4)	Rules of Inference
5)	Proof Methods
6)	Sets and Set Operations \ review.
7)	Relations and Their Properties
8)	Representing Relations and Closures of Relations
9)	Equivalence Relations and Partial Orderings
10)	Functions
11)	Divisibility and Modular Arithmetic
12)	Primes, Greatest Common Divisors, and Cryptography \ review.
13)	Graphs and Graph Models
14)	Graph Terminology and Special Types of Graphs

Sources

Course Notes / Textbooks:	- Instructor's own lecture notes. - Discrete Mathematics and its Applications, Kenneth H. Rosen, McGraw-Hill Publishing Company.
References:	- Elements of Discrete Mathematics, C. L. Liu, McGraw-Hill Publishing Company. - Discrete and Combinatorial Mathematics, R. P. Grimaldi, Addison-Wesley Publishing Company. - AND any textbook that covers given topics can be used.

Evaluation System

Semester Requirements	Number of Activities	Level of Contribution
Midterms	2	% 60
Final	1	% 40
Total		% 100
PERCENTAGE OF SEMESTER WORK		% 60
PERCENTAGE OF FINAL WORK		% 40
Total		% 100

ECTS / Workload Table

Activities	Number of Activities	Duration (Hours)	Workload
Course Hours	14	3	42
Study Hours Out of Class	14	7	98
Midterms	2	2	4
Final	1	2	2
Total Workload			146

Contribution of Learning Outcomes to Programme Outcomes

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

	Program Outcomes	Level of Contribution
1)	Adequate knowledge in mathematics, science and computer engineering; the ability to use theoretical and practical knowledge in these areas in complex engineering problems.	5
2)	Ability to identify, formulate, and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose.	5
3)	Ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose.
4)	Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in computer engineering applications; ability to use information technologies effectively.
5)	Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or computer engineering research topics.
6)	Ability to work effectively within and multi-disciplinary teams; individual study skills.
7)	Ability to communicate effectively in verbal and written Turkish; knowledge of at least one foreign language; ability to write active reports and understand written reports, 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; ability to access information, to follow developments in science and technology and to renew continuously.
9)	To act in accordance with ethical principles, professional and ethical responsibility; information on the standards used in engineering applications.
10)	Information on business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; information about sustainable development.
11)	Knowledge of the effects of engineering practices on health, environment and safety in the universal and social scale and the problems of the era reflected in engineering; awareness of the legal consequences of engineering solutions.