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	5

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. OĞUZHAN ÖZTAŞ
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

Level of Contribution
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Explains the fundamental engineering concepts of computer science and relates them to the groundwork of computer science.	0

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Uses theoretical and practical knowledge coming from mathematics, probability, statistics and various other branches of life sciences, to find solutions to engineering problems.						5

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Determines the components and the underlying process of a system and designs an appropriate computational model under reasonable constraints.		1
2	Designs a computer-aided conceptual model with modern techniques.		1

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Determines, detects and analyzes the areas of computer science applications and develops appropriate solutions.	0
2	Identifies, models and solves computer engineering problems by applying appropriate analytical methods.	0
3	Determines and uses the necessary information technologies in an efficient way for engineering applications.			2

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Possess the responsibility and ability to design and conduct experiments for engineering problems by collecting, analyzing and interpreting data.		1
2	Possess the ability to conduct effective individual study.			2
3	Takes responsibility as a team work and contributes in an effective way.	0

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Monitors the developments in the field of information technologies by means of internet and related journals and possess the required knowledge for the management, control, development and security of information technologies.		1
2	Develops positive attitude towards lifelong learning.			2

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Communicates effectively by oral and/or written form and uses at least one foreign language.			2
2	Possess sufficient consciousness about the issues of project management, practical applications and also environmental protection, worker's health and security.	0

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Possess professional and ethical responsibility and willingness to share it.	0
2	Possess sufficient consciousness about the universality of engineering solutions and applications and be well aware of the importance of innovation.				3

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