SECTION I: GENERAL INFORMATION ABOUT THE COURSE

Course Code	Course Name	Year	Semester	Theoretical	Practical	Credit	ECTS
YZM6201	Discrete Computing Structures	0	Fall	2	1	3	6

Course Type :	University Elective
Cycle:	Bachelor TQF-HE:6. Master`s Degree QF-EHEA:First Cycle EQF-LLL:6. Master`s Degree
Language of Instruction:	Turkish
Prerequisities and Co-requisities:	N/A
Mode of Delivery:	Face to face
Name of Coordinator:	Dr. Öğr. Üyesi GİZEM TEMELCAN ERGENECOŞAR
Dersin Öğretim Eleman(lar)ı:	Dr. Öğr. Üyesi GİZEM TEMELCAN ERGENECOŞAR
Dersin Kategorisi:

SECTION II: INTRODUCTION TO THE COURSE

Course Objectives & Content

Course Objectives:	The objective of this course is to introduce discrete mathematical structures that provide background for computational theory.
Course Content:	Basic logic concepts, sets, functions; mathematical reasoning, relations, graphs, tree structures, algebraic structure, logical algebra.

Course Specific Rules

Students taking this course are required to:
1) Participate in classes.
2) Have a suitable notebook and materials such as pencils, erasers, etc. to take notes.

Course Learning Outcomes (CLOs)

Course Learning Outcomes (CLOs) are those describing the knowledge, skills and competencies that students are expected to achieve upon successful completion of the course. In this context, Course Learning Outcomes defined for this course unit are as follows:



Knowledge *(Described as Theoritical and/or Factual Knowledge.)*
1) Understand the basic terminology and processes information related to functions, relationships, clusters, diagrams and trees.
2) Know basic concepts of algorithm and calculation.
Skills *(Describe as Cognitive and/or Practical Skills.)*
1) Knows how to perform mathematical proofs and prove theorems.
2) Gain formal logic evidence and logical reasoning through problem solving.
Competences *(Described as "Ability of the learner to apply knowledge and skills autonomously with responsibility", "Learning to learn"," Communication and social" and "Field specific" competences.)*

Weekly Course Schedule

Week	Subject	Materials Sharing *
		Related Preparation	Further Study
1)	Introduction to Logic	lecture notes shared at online.beykoz.edu.tr	Self study
2)	Logic Operators	lecture notes shared at online.beykoz.edu.tr	Self study
3)	Predicates and Quantifiers	lecture notes shared at online.beykoz.edu.tr	Self study
4)	Proof Techniques	lecture notes shared at online.beykoz.edu.tr	Self study
5)	Sets and Set Operations	lecture notes shared at online.beykoz.edu.tr	Self study
6)	Relations and Recurrence Relations	lecture notes shared at online.beykoz.edu.tr	Self study
7)	Functions and Generating Functions	lecture notes shared at online.beykoz.edu.tr	Self study
8)	Midterm
9)	Integers and Divisibility	lecture notes shared at online.beykoz.edu.tr	Self study
10)	Matrices	lecture notes shared at online.beykoz.edu.tr	Self study
11)	Graphs	lecture notes shared at online.beykoz.edu.tr	Self study
12)	Trees	lecture notes shared at online.beykoz.edu.tr	Self study
13)	Boolean Algebra	lecture notes shared at online.beykoz.edu.tr	Self study
14)	Review	lecture notes shared at online.beykoz.edu.tr

*These fields provides students with course materials for their pre- and further study before and after the course delivered.

DERS ÖĞRENME ÇIKTILARI - PROGRAM ÖĞRENME ÇIKTILARI İLİŞKİSİ

Contribution of The Course Unit To The Programme Learning Outcomes

Ders Öğrenme Çıktıları (DÖÇ)	1	3	2	4
Program Öğrenme Çıktıları (PÖÇ)
1) Explain the fundamental concepts, historical development, and theoretical framework of graphic design.
2) Define typography, color theory, and composition principles in visual communication design.
3) Evaluate the social, cultural, and ethical aspects of graphic design to develop an interdisciplinary perspective.
4) Develop original and innovative design solutions using creative problem-solving methods.
5) Apply visual hierarchy, perception psychology, and user experience (UX) principles to design for international markets.
6) Effectively use digital tools and design software to produce professional graphic design work.
7) Take responsibility in international graphic design projects individually or within a team to develop creative solutions.
8) Manage graphic design projects and plan processes while applying a professional work discipline.
9) Continuously improve by following global innovations, technologies, and methodologies in graphic design.
10) Adopt intercultural design principles to create visual solutions for global audiences.
11) Develop design solutions that are culturally sensitive, ethically appropriate, and sustainable.
12) Work independently or participate in teamwork within graphic design processes.

SECTION III: RELATIONSHIP BETWEEN COURSE UNIT AND COURSE LEARNING OUTCOMES (CLOs)

Level of Contribution of the Course to PLOs

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

	Programme Learning Outcomes	Contribution Level (from 1 to 5)
1)	Explain the fundamental concepts, historical development, and theoretical framework of graphic design.
2)	Define typography, color theory, and composition principles in visual communication design.
3)	Evaluate the social, cultural, and ethical aspects of graphic design to develop an interdisciplinary perspective.
4)	Develop original and innovative design solutions using creative problem-solving methods.
5)	Apply visual hierarchy, perception psychology, and user experience (UX) principles to design for international markets.
6)	Effectively use digital tools and design software to produce professional graphic design work.
7)	Take responsibility in international graphic design projects individually or within a team to develop creative solutions.
8)	Manage graphic design projects and plan processes while applying a professional work discipline.
9)	Continuously improve by following global innovations, technologies, and methodologies in graphic design.
10)	Adopt intercultural design principles to create visual solutions for global audiences.
11)	Develop design solutions that are culturally sensitive, ethically appropriate, and sustainable.
12)	Work independently or participate in teamwork within graphic design processes.

SECTION IV: TEACHING-LEARNING & ASSESMENT-EVALUATION METHODS OF THE COURSE

Teaching & Learning Methods of the Course

(All teaching and learning methods used at the university are managed systematically. Upon proposals of the programme units, they are assessed by the relevant academic boards and, if found appropriate, they are included among the university list. Programmes, then, choose the appropriate methods in line with their programme design from this list. Likewise, appropriate methods to be used for the course units can be chosen among those defined for the programme.)

Teaching and Learning Methods defined at the Programme Level	Teaching and Learning Methods Defined for the Course
Lectures
Problem Solving
Project Preparation
Questions Answers
Individual and Group Work
Active Participation in Class

Assessment & Evaluation Methods of the Course

(All assessment and evaluation methods used at the university are managed systematically. Upon proposals of the programme units, they are assessed by the relevant academic boards and, if found appropriate, they are included among the university list. Programmes, then, choose the appropriate methods in line with their programme design from this list. Likewise, appropriate methods to be used for the course units can be chosen among those defined for the programme.)

Aassessment and evaluation Methods defined at the Programme Level	Assessment and Evaluation Methods defined for the Course
Midterm
Final Exam
Quiz
Report Evaluation
Active Participation in Class

Contribution of Assesment & Evalution Activities to Final Grade of the Course

Measurement and Evaluation Methods	# of practice per semester	Level of Contribution
Quizzes	1	% 5.00
Project	1	% 10.00
Midterms	1	% 35.00
Semester Final Exam	1	% 50.00
Total		% 100
PERCENTAGE OF SEMESTER WORK		% 50
PERCENTAGE OF FINAL WORK		% 50
Total		% 100

SECTION V: WORKLOAD & ECTS CREDITS ALLOCATED FOR THE COURSE

WORKLOAD OF TEACHING & LEARNING ACTIVITIES
Teaching & Learning Activities	# of Activities per semester	Duration (hour)	Total Workload
Course	14	3	42
Laboratory	0	0	0
Application	0	0	0
Special Course Internship (Work Placement)	0	0	0
Field Work	0	0	0
Study Hours Out of Class	14	2	28
Presentations / Seminar	0	0	0
Project	1	14	14
Homework Assignments	0	0	0
Total Workload of Teaching & Learning Activities	-	-	84
WORKLOAD OF ASSESMENT & EVALUATION ACTIVITIES
Assesment & Evaluation Activities	# of Activities per semester	Duration (hour)	Total Workload
Quizzes	1	12	12
Midterms	1	20	20
Semester Final Exam	1	30	30
Total Workload of Assesment & Evaluation Activities	-	-	62
TOTAL WORKLOAD (Teaching & Learning + Assesment & Evaluation Activities)			146
ECTS CREDITS OF THE COURSE (Total Workload/25.5 h)			6

Course Notes / Textbooks:	Haftalık ders notu paylaşımı online.beykoz.edu.tr adresinden yapılmaktadır. Weekly course notes are shared via online.beykoz.edu.tr.
References:	Ralph Grimaldi. Discrete and Combinatorial Mathematics. Addison Wesley Kenneth H. Rosen Discrete Mathematics and its Application. McGraw Hill