MATHEMATICS I DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MTH105	MATHEMATICS I	1	5	4	6

DERS BİLGİLERİ
Dersin Öğretim Dili :	İngilizce
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. PERİ GÜNEŞ
Dersi Veren Öğretim Üyesi/Öğretim Görevlisi	Dr.Öğr.Üyesi MEHMET ARSLAN-Dr.Öğr.Üyesi SAJEDEH NOROZPOUR SIGAROODI-Dr.Öğr.Üyesi ŞEYMA ÇETİN-Dr.Öğr.Üyesi TARIK ARABACI
Ders Ön Koşulu	Yok

AMAÇ VE İÇERİK
Amaç:	To teach the students real functions, trigonometric and exponential functions, limit and derivative concepts and analysis, indefinite and definite integrals and solutions
İçerik:	Real Functions, Trigonometric and Exponential Functions, Limit and Derivative Concepts and Analysis, Indefinite and Definite Integrals and Solutions.

DERSİN ÖĞRENME ÇIKTILARI (Öğrenciler, bu dersi başarı ile tamamladıklarında aşağıda belirtilen bilgi, beceri ve/veya yetkinlikleri gösterirler.)
The students who take the course will be able to; I. Know trigonometric, exponential and logarithmic functions. II. Know and develop limit and derivative concepts. III. Able to perform applications about limit and derivative. Can achieve solutions for indefinite and definite integrals.

HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI
Hafta	Ön Hazırlık	Konular	Yöntem
1	Literatür Araştırması	Basic Concepts on mathematics (Sets, Real Numbers, Intervals, Absolute Value)	Anlatım
2	Literatür Araştırması	Functions (Polynomial Functions, Rational Function, Absolute Value Function, Sign Function, Combination of Functions, Concept of Inverse Function, Exponential and Logarithmic Functions, Trigonometric and Inverse Trigonometric Functions	Anlatım
3	Literatür Araştırması	Limits (Limit (Limit of a Function and Limit Rules, Sandwich Theorem, Exact Definition of Limit, One Sided Limits, Infinite Limits)	Anlatım
4	Literatür Araştırması	Continuity (Continuity at a point, Continuous Functions, Intermediate Value Theorem, Types of Discontinuities), Limits at Infinity	Anlatım
5	Literatür Araştırması	Algebraic and geometric meanings of derivative, differentiation rules, Chain Rule	Anlatım
6	Literatür Araştırması	Derivatives of trigonometric functions, Derivatives of exponential functions, Derivatives of logarithmic functions, Derivative of Implicit Functions	Anlatım
7	Literatür Araştırması	Higher Order Derivatives, Applications of Derivative, Important Theorems (Rolle's Theorem, Mean Value Theorem, First Derivative Test for Local Extremes, Concavity, Second Derivative Test for Concavity, Inflection Points, Second Derivative Test for Local Extremes)	Anlatım
8	-	MID-TERM EXAM	-
9	Literatür Araştırması	Curve Sketching, L'Hospital Rule	Anlatım
10	Literatür Araştırması	Integral Definition, formulas, integration methods	Anlatım
11	Literatür Araştırması	Substitution method and Integration by Parts	Anlatım
12	Literatür Araştırması	Integration of Rational Functions by Partial Fractions	Anlatım
13	Literatür Araştırması	Riemann sums, Sigma (Sum symbol) properties, Fundamental theorem of Calculus	Anlatım
14	Literatür Araştırması	Review by Problem Session	Anlatım
15	Literatür Araştırması	FINAL EXAM	Anlatım
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

KAYNAKLAR
James Stewart, Calculus
George B. Thomas, Calculus
Prof. Dr. Mustafa Balcı, Çözümlü Genel Matematik Problemleri 1
Naci İskender, Yüksek Matematik

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	Explains the fundamental engineering concepts of electrical and electronics science and relates them to the groundwork of electrical and electronics science.				3

KNOWLEDGE
Factual
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		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

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	5	70
Preliminary & Further Study	14	1	14
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	0	0	0
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	1	35	35
Mid-Term Exam	1	2	2
Preparation for the Mid-Term Exam	1	25	25
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	32	0	148