Computer Engineering (English) Preview
Bachelor	TR-NQF-HE: Level 6	QF-EHEA: First Cycle	EQF-LLL: Level 6

Course Introduction and Application Information

Course Code:

MATH111

Course Name:

Discrete Mathematics

Semester:

Fall

Course Credits:

ECTS

Language of instruction:

English

Course Condition:

Does the Course Require Work Experience?:

Type of course:

Compulsory Courses

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. Üy. FUNDA ÖZDEMİR

Course Lecturer(s):

Assist. Prof. Dr. FUNDA ÖZDEMIR

Course Assistants:

Course Objective and Content

Course Objectives:	To introduce discrete mathematical structures suh as formal mathematical reasoning techniques, algorithm formulation, computation of time complexity, basic counting techniques, relations, graphs and trees. The course aims to acquire the necessary mathematical background for areas that require computation such as computer science and to apply the acquired skills to practical problems.
Course Content:	Logic, proof methods, sets, functions, sequences, sums, algorithms, growth of functions, complexity of algorithms, elementary number theory, cryptography, counting, solving recurrence relations, relations, graphs and trees.

Learning Outcomes

The students who have succeeded in this course;
1) Gains the ability to express mathematical arguments and natural language sentences through the language of symbolic logic; decides whether a given argument is valid or not using logic and inference rules and makes simple mathematical proofs.
2) Describes computer programs in a formal mathematical manner by means of pseudocodes and analyzes algorithms in terms of time complexity.
3) Comprehends basic number theory concepts such as modular arithmetic, integer representations and primality, and their basic applications in cryptography.
4) Understands and applies counting principles.
5) Solves recurrence relations.
6) Knows the basic properties of relations, graphs and trees.

Course Flow Plan

Week	Subject	Related Preparation
1)	Propositional logic and applications; propositional function and quantifiers
2)	Inference rules, proof methods
3)	Sets, functions, sums and sequences
4)	Algorithms
5)	Growth of functions, complexity of algorithms
6)	Divisibility, modular arithmetic, integer representations
7)	Primes, greatest common divisor, solving congruences
8)	Midterm Exam
9)	Cryptography
10)	Mathematical induction, strong induction and well-ordering
11)	Counting
12)	Solving recurrence relations
13)	Relations
14)	Graphs and trees

Sources

Course Notes / Textbooks:	Discrete Mathematics and Its Applications, Kenneth H. Rosen, McGraw-Hill Education
References:	Discrete Mathematics, Richard Johnsonbaugh, Pearson

Course - Program Learning Outcome Relationship

Course Learning Outcomes	1	2	3	4	5	6
Program Outcomes
1) Adequate knowledge in mathematics, science, and computer engineering principles, both theoretical and practical, and the ability to apply this knowledge to complex engineering problems.	3	3	3	3	3	3
2) Ability to identify, formulate, and solve complex computer engineering problems using appropriate analysis and modeling techniques.
3) Ability to design and develop complex computer systems, devices, or products that meet specific requirements and operate under realistic constraints and conditions, using modern design methods.
4) Ability to develop, select and use modern techniques and tools used for the analysis and solution of complex computer engineering problems, and the ability to use information technologies effectively.
5) Ability to plan and conduct experiments, collect and analyze data, and interpret results in the study of complex computer engineering problems or research topics.
6) Ability to work effectively within and multidisciplinary teams; individual study skills.
7) Ability to communicate effectively orally and in writing; knowledge of at least one foreign language; ability to write effective 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 computer engineering practices on health, environment and safety in the universal and social scale and the problems of the era reflected in computer engineering; awareness of the legal consequences of computer engineering solutions.

Course - Learning Outcome Relationship

No Effect	1 Lowest	2 Average	3 Highest

	Program Outcomes	Level of Contribution
1)	Adequate knowledge in mathematics, science, and computer engineering principles, both theoretical and practical, and the ability to apply this knowledge to complex engineering problems.	3
2)	Ability to identify, formulate, and solve complex computer engineering problems using appropriate analysis and modeling techniques.
3)	Ability to design and develop complex computer systems, devices, or products that meet specific requirements and operate under realistic constraints and conditions, using modern design methods.
4)	Ability to develop, select and use modern techniques and tools used for the analysis and solution of complex computer engineering problems, and the ability to use information technologies effectively.
5)	Ability to plan and conduct experiments, collect and analyze data, and interpret results in the study of complex computer engineering problems or research topics.
6)	Ability to work effectively within and multidisciplinary teams; individual study skills.
7)	Ability to communicate effectively orally and in writing; knowledge of at least one foreign language; ability to write effective 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 computer engineering practices on health, environment and safety in the universal and social scale and the problems of the era reflected in computer engineering; awareness of the legal consequences of computer engineering solutions.

Assessment & Grading

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

Workload and ECTS Credit Calculation

Activities	Number of Activities	Preparation for the Activity	Spent for the Activity Itself	Completing the Activity Requirements	Workload
Course Hours	13	0	3		39
Study Hours Out of Class	13	0	5		65
Midterms	1	13	2		15
Final	1	23	2		25
Total Workload					144