AYRIK MATEMATİK DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MAT218	AYRIK MATEMATİK	4	3	3	5

DERS BİLGİLERİ
Dersin Öğretim Dili :	Türkçe
Dersin Düzeyi	BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Dersin Türü	Zorunlu
Dersin Veriliş Şekli	-
Dersin Koordinatörü	Assist.Prof. SERKAN GÖNEN
Dersi Veren Öğretim Üyesi/Öğretim Görevlisi
Ders Ön Koşulu	Yok

AMAÇ VE İÇERİK
Amaç:	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.
İçerik:	Basic Concepts (Logic and Sets, Functions and Binary Operation Structures), Cryptology, Graph Theory, Recursive Relations

DERSİN ÖĞRENME ÇIKTILARI (Öğrenciler, bu dersi başarı ile tamamladıklarında aşağıda belirtilen bilgi, beceri ve/veya yetkinlikleri gösterirler.)
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.

HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI
Hafta	Ön Hazırlık	Konular	Yöntem
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	-

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

ÖLÇME VE DEĞERLENDİRME
Yarıyıl İçi Yapılan Çalışmaların Ölçme ve Değerlendirmesi	Etkinlik Sayısı	Katkı Yüzdesi	Açıklama

(0) Etkisiz	(1) En Düşük	(2) Düşük	(3) Orta	(4) İyi	(5) Çok İyi
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Ability to communicate effectively with various stakeholders	0

SKILLS
Practical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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

DERSİN İŞ YÜKÜ VE AKTS KREDİSİ
Öğrenme-Öğretme Etkinlikleri İş Yükü
Öğrenme-Öğretme Etkinlikleri	Etkinlik(hafta sayısı)	Süresi(saat sayısı)	Toplam İş Yükü
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