MATHEMATICS I PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MTH105	MATHEMATICS I	1	5	4	6

GENERAL INFORMATION
Language of Instruction :	İngilizce
Level of the Course Unit :	LİSANS, TYY: + 6.Düzey, EQF-LLL: 6.Düzey, QF-EHEA: 1.Düzey
Type of the Course :	Zorunlu
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Dr.Öğr.Üyesi PERİ GÜNEŞ
Instructor(s) of the Course Unit	Dr.Öğr.Üyesi MEHMET ARSLAN-Dr.Öğr.Üyesi SAJEDEH NOROZPOUR SIGAROODI-Dr.Öğr.Üyesi ŞEYMA ÇETİN-Dr.Öğr.Üyesi TARIK ARABACI
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	Öğrencilere, reel fonksiyonlar,trigonometrik ve üstel fonksiyonlar,limit ve türev kavramları ve çözümlemeleri,belirsiz ve belirli integral çözüm ve uygulamalarını yapabilmesini öğretmektir.
Contents of the Course Unit:	Reel Fonksiyonlar,Trigonometrik ve Üstel Fonksiyonlar,Limitler ve Türevlerin Tanım ve Uygulamaları, Belirli ve Belirsiz İntegraller Çözüm ve Uygulamaları.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)
Bu dersi alan öğrenciler; I. Fonksiyonları, çeşitlerini tanımlar, özelliklerini bilir. II. Limit ve sürekliliği bilir, çözümlemelerini yapar. III. Türevi çeşitli teknik problemlerin çözümünde kullanabilir. IV. Belirsiz integral ilgili problem çözümlerini yapabilir.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	-	Dersin Tanımı ve Kapsamı	-
2	-	Reel Sayılar, Kompleks Sayılar, Bunlara İlişkin Problemler ve Çözümlemeler.	-
3	-	Özdeşlikler, Cebirsel Denklemler, Bunlarla İlgili Çözümlemeler.	-
4	-	Limitler, Limit Alma Kuralları, Bir Fonksiyonun Limit Değerinin Hesaplanması.	-
5	-	Limitlerde Belirsiz Haller, L'Hospital Kuralı Uygulamaları	-
6	-	Türevin Cebirsel ve Geometrik Anlamları, Türev Alma Kuralları, Türevin	-
7	-	Trigonometrik Fonksiyonların Türevleri, Teknikte Uygulamaları	-
8	-	ARA SINAV	-
9	-	Trigonometrik Fonksiyonların Türevleri, Teknikte Uygulamaları	-
10	-	İntegral Tanımı, Formülleri, Integrasyon Yöntemleri	-
11	-	İntegral Tanımı, Formülleri, Integrasyon Yöntemleri	-
12	-	Basit Kesirlere Ayırma Yöntemi ile Integral Alma Uygulamaları	-
13	-	Transandant Fonksiyonların Integrali, Bununla İlgili Çözümlemeler.	-
14	-	Transandant Fonksiyonların Integrali, Bununla İlgili Çözümlemeler.	-
15	-	Belirli Integral Tanımı, Formülleri ve Yöntemleri.	-
16	-	FİNAL	-
17	-	FİNAL	-

SOURCE MATERIALS & RECOMMENDED READING
Temel ve Genel Matematik, H. Hilmi Hacısalihoğlu, Mustafa Balcı, Ankara, 1996.
Yüksek Matematik Problemleri, A. Karadeniz, Çağlayan Kitabevi, İstanbul, 2003.
Diferansiyel ve İntegral Hesap, W. A. Granville, P. F. Smith, W. R. Longley. Çeviren: Naci İskender, İstanbul, 1954

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 electrical and electronics science and relates them to the groundwork of electrical and electronics science.				3

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Uses theoretical and practical knowledge coming from electrical and electronics sciences, to find solutions to engineering problems.				3

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 model related to electrical and electronics under reasonable constraints.				3
2	Designs a model related to electrical and electronics with modern techniques.				3

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

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.				3
2	Possess the ability to conduct effective individual study.			2
3	Takes responsibility as a team work and contributes in an effective way.				3

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

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.				3
2	Possess sufficient consciousness about the issues of project management, practical applications and also environmental protection, worker's health and security.					4

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.				3
2	Possess sufficient consciousness about the universality of electrical and electronics 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)
Ders	14	5	70
Derse Ön Hazırlık ve Ders Sonrası Pekiştirme	14	1	14
Arazi Çalışması	0	0	0
Grup Çalışması / Ödevi	0	0	0
Laboratuvar	0	0	0
Okuma	0	0	0
Ödev	0	0	0
Proje Hazırlama	0	0	0
Seminer	0	0	0
Staj	0	0	0
Teknik Gezi	0	0	0
Web Tab. Öğrenme	0	0	0
Uygulama	0	0	0
Yerinde Uygulama	0	0	0
Mesleki Faaliyet	0	0	0
Sosyal Faaliyet	0	0	0
Tez Hazırlama	0	0	0
Alan Çalışması	0	0	0
Rapor Yazma	0	0	0
Final Sınavı	1	2	2
Final Sınavı Hazırlığı	1	35	35
Ara Sınav	1	2	2
Ara Sınav Hazırlığı	1	25	25
Kısa Sınav	0	0	0
Kısa Sınav Hazırlığı	0	0	0
TOPLAM	32	0	148