DISCRETE MATHEMATICS PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MAT218	DISCRETE MATHEMATICS	4	3	3	4

GENERAL INFORMATION
Language of Instruction :	Turkish
Level of the Course Unit :	BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Type of the Course :	Compulsory
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Assist.Prof. ONUR TÜRKER
Instructor(s) of the Course Unit
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	It is aimed to develop the student's algorithm-based thinking competence with the basics of mathematics, which is the mathematical infrastructure of computer software, and basic topics in the field of mathematical logic. In addition, preliminary preparation is made for Information Security by giving concepts related to the field of Cryptology.
Contents of the Course Unit:	Basic Concepts (Logic and Sets, Functions and Binary Operation Structures), Cryptology, Graph Theory, Recursive Relations

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)
Ability to use abstract thinking skills
Ability to use mathematical knowledge in other areas
To be able to follow professional and current developments and to continuously improve knowledge and skills to adapt to the rapidly changing technological environment.
To know the scope, applications, history, problems, and methods of mathematics that will be beneficial to humanity as both a scientific and intellectual discipline.
Ability to communicate, problem solve, and brainstorm in mathematics. Ability to use technology as an effective tool for understanding and applying mathematics.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	-	Logic, Propositions	Explanation, Question-Answer, Problem Solving Method
2	-	Proof Techniques	Explanation, Question-Answer, Problem Solving Method
3	-	Proof Techniques	Explanation, Question-Answer, Problem Solving Method
4	-	Sets	Explanation, Question-Answer, Problem Solving Method
5	-	Relations and Properties	Explanation, Question-Answer, Problem Solving Method
6	-	Equivalence Relations	Explanation, Question-Answer, Problem Solving Method
7	-	Ordered Relations	Explanation, Question-Answer, Problem Solving Method
8	-	MID-TERM EXAM	-
9	-	Functions	Explanation, Question-Answer, Problem Solving Method
10	-	Binary Operation and Its Properties	Explanation, Question-Answer, Problem Solving Method
11	-	Algebraic Structures	Explanation, Question-Answer, Problem Solving Method
12	-	Cryptology	Explanation, Question-Answer, Problem Solving Method
13	-	Cryptology	Explanation, Question-Answer, Problem Solving Method
14	-	Recursive Relations	Explanation, Question-Answer, Problem Solving Method
15	-	Graph Theory	Explanation, Question-Answer, Problem Solving Method
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

SOURCE MATERIALS & RECOMMENDED READING
Kenneth Rosen, Discrete Mathematics and Its Applications, Mc Graw Hill, 1999.
Ralph Grimaldi, Discrete and Combinatorial Mathematics, Pearson, Addison-Wesley, 6th Edition, 2004.

ASSESSMENT
Assessment & Grading of In-Term Activities	Number of Activities	Degree of Contribution (%)	Description	Examination Method

Level of Contribution
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The student gains proficiency in the fundamental components of data science and analytics, and is able to practically apply methods related to statistical analysis, data mining, and machine learning.
2	The student is capable of analyzing both structured and unstructured data types and can effectively utilize analytical methods to derive meaningful insights from large datasets.
3	The student can utilize programming languages such as Python, R, and SQL in data analysis and modeling processes and is able to effectively manage data processing and automation tasks.

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The student can express analytical findings clearly and effectively by using data visualization and result reporting techniques, contributing meaningfully to decision-making processes.
2	The student can analyze complex data-driven problems, develop appropriate solutions, and make creative, data-based decisions through the use of scientific research methods.

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The student can analyze problems encountered in the field of data science and analytics, develop solutions by selecting appropriate data analysis techniques, and critically evaluate statistical, algorithmic, and artificial intelligence-based methods.

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The student can effectively use programming languages such as Python, R, and SQL in data science and analytics applications; they are capable of developing practical solutions using data mining, machine learning, big data processing, data visualization, and modeling tools, and can work with real-world datasets.

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The student is able to take responsibility in individual or team-based projects related to data science and analytics, independently plan and execute complex data-driven tasks, and play an active role in decision-making processes by developing analytical and creative solutions to encountered problems.

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The student possesses the competence for continuous self-improvement with an awareness of lifelong learning by following current developments, technologies, and methods in the field of data science and analytics; they can rapidly acquire new knowledge and skills and apply them effectively.

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The student can communicate their work in data science and analytics clearly and effectively through written, oral, and visual means; they are capable of working efficiently in multidisciplinary teams, engaging in effective communication, and developing collaborative solutions.

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The student has a strong command of the concepts, methods, algorithms, and tools specific to the field of data science and analytics; they can carry out data collection, processing, analysis, and interpretation processes in accordance with ethical principles, and act with a sense of responsibility regarding data privacy and security.

WORKLOAD & ECTS CREDITS OF THE COURSE UNIT
Workload for Learning & Teaching Activities
Type of the Learning Activites	Learning Activities (# of week)	Duration (hours, h)	Workload (h)
Lecture & In-Class Activities	14	3	42
Preliminary & Further Study	14	3	42
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	3	5	15
Project Work	0	0	0
Seminar	0	0	0
Internship	0	0	0
Technical Visit	0	0	0
Web Based Learning	0	0	0
Implementation/Application/Practice	0	0	0
Practice at a workplace	0	0	0
Occupational Activity	0	0	0
Social Activity	0	0	0
Thesis Work	0	0	0
Field Study	0	0	0
Report Writing	0	0	0
Final Exam	1	2	2
Preparation for the Final Exam	5	3	15
Mid-Term Exam	1	2	2
Preparation for the Mid-Term Exam	5	2	10
Short Exam	2	2	4
Preparation for the Short Exam	1	1	1
TOTAL	46	0	133