SECTION I: GENERAL INFORMATION ABOUT THE COURSE

Course Code	Course Name	Year	Semester	Theoretical	Practical	Credit	ECTS
CME6201	Discrete Computational 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:	English
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) Simply prove the theorems with proof by contrasts and mathematical induction
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 Operators	lecture notes shared at online.beykoz.edu.tr	Self study
6)	Relations and Recursive 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)	Matrrices	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.

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)	To improve analytical thinking, problem solving in organizational issues, time management, self-discipline and communication skills
2)	To learn and use the basic information, concepts and theories required in the field of international trade and finance
3)	Except the core subjects of the business, to have knowledge about leadership, behavioral sciences, communication and entrepreneurship; in the field of service, mathematics, statistics, law, operations research, information processing and management information systems
4)	To have awareness for ethical and social responsivity
5)	Ability by supporting the learnt courses with quantitative and qualitative data; and by using verbal and visual communication means, to transfer them to the groups within and outside the group in a systematical and effective way
6)	To be able to evaluate the norms and standards present in the works in which responsibility in a critical point of view are taken
7)	Ability to develop strategical, innovative and entrepreneurial ideas
8)	Ability to acquire competence of managing the change
9)	To show development personally and socially with and awareness for lifelong learning
10)	To follow advanced technologies and developments about digital transformation
11)	To have cultural awareness and to be able to transfer this to the groups within and outside the field
12)	To have awareness about citizenship competency
13)	To acquire communication in a Foreign Language (English) competence defined on the level of at least B1 in European Language Portfolio. (In programs whose medium of instruction is English, on the level of B2/B2+)

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
Homework Evaluation

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 Discrete Mathematics, An Open Introduction, 3rd Edition, Oscar Levin (free ebook) (link is shared below) Materyal