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. SERKAN GÖNEN
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	Ability to identify, analyze, design, model and solve complex engineering problems based on engineering, science and mathematics fundamentals						5

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to apply engineering design to produce solutions that meet specific needs, taking into account global, cultural, social, environmental and economic factors as well as public health, safety and well-being		1

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to communicate effectively with various stakeholders	0

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The ability to recognize ethical and professional responsibilities in engineering and make informed decisions considering the impact of engineering solutions in their global, economic, environmental and social contexts			2

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The ability to recognize ethical and professional responsibilities in engineering and make informed decisions considering the impact of engineering solutions in their global, economic, environmental and social contexts			2

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to acquire new knowledge and find ways to apply it when necessary, using appropriate learning strategies			2

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to work effectively in a team where its members lead together, create a collaborative and inclusive environment, set goals, plan tasks, and meet goals		1

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to design and conduct appropriate experiments, analyze and interpret data, and apply engineering principles to draw conclusions			2

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