MATEMATİK I DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MAT123	MATEMATİK I	1	3	3	6

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. SİNEM GÜRKAN
Dersi Veren Öğretim Üyesi/Öğretim Görevlisi
Ders Ön Koşulu	Yok

AMAÇ VE İÇERİK
Amaç:	The aim of the course; The aim of this course is to provide the students with the ability to approach mathematical and physical problems in a rational and analytical way and to provide the students with the basic concepts and methods of mathematics.
İçerik:	Course Content; Real Numbers and Real Right, Cartesian Coordinates in the Plane, Graphs of Second Order Equations, Functions and Graphs, Combining Functions to Identify New Functions, Real Numbers and Real Correct, Cartesian Coordinates in Plane, Graphs of Second Order Equations, Functions and Graphs, New Functions Combination of Functions, polinoms and Rational Functions, Exponential and Logarithmic Functions, Natural Logarithm and Exponential , Inverse Trigonometric Functions,Trigonometric Functions, Limits of Functions, Infinite Limits in Continuity, Continuity, Tangent Lines and Slopes, Derivatives, Differential Rules of Rule, Chain Rule, Derivatives of Trigonometric Functions, Bilateral Ratios, Uncertain Forms, Extreme Values, Limits and Properties, Limits Uncertainties, Continuity, Applications of Continuity, Derivative Definition, Derivative Rules, Funding Derivative theorems, Derivative theorems, Geometrical interpretation of derivative, Application of derivative to optimization problems.

DERSİN ÖĞRENME ÇIKTILARI (Öğrenciler, bu dersi başarı ile tamamladıklarında aşağıda belirtilen bilgi, beceri ve/veya yetkinlikleri gösterirler.)
At the end of this course, students explain mathematical functions
At the end of this course, students will be able to interpret the limits and continuity of mathematical functions at given points.
At the end of this course, the students apply the derivative process to the optimization problems in the physical fields, especially for one variable functions
At the end of this course, linear functions and models for professional problems

HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI
Hafta	Ön Hazırlık	Konular	Yöntem
1	Internet and book research	Sets, Real Numbers, Cartesian Coordinates in Plane, Graphs of Second Order Equations	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
2	Internet and book research	Functions and Graphics, Combining Functions to Identify New Functions	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
3	Internet and book research	Polynomials and Rational Functions, integer function, sign function, combination of functions, inverse function	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
4	Internet and book research	Exponential and Logarithmic Functions	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
5	Internet and book research	Trigonometric Functions	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
6	Internet and book research	Inverse Trigonometric Functions,	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
7	Internet and book research	Limit, limit rules, calculation of limit values of a function, Uncertain cases at limits	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
8	-	MID-TERM EXAM	-
9	Internet and book research	Continuity	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
10	Internet and book research	Definition of derivative, Derivation rules, geometric interpretation of derivative	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
11	Internet and book research	Derivatives of function types	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
12	Internet and book research	Derivatives of function types	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
13	Internet and book research	Derivatives of function types	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
14	Internet and book research	Derivative theorems	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
15	Internet and book research	L Hopital	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

KAYNAKLAR
Kalkülüs: Diferansiyel ve İntegral Hesap, James Stewart, Tüba Yayınları, Türkiye Bilimler Akademisi, 2010.
Thomas Kalkülüs (cilt 1), George B. Thomas, Maurica D. Weir Joel R. Hass, 12. Baskı, Pearson, Ankara.
Çözümlü Genel Matematik Problemleri 1, Mustafa Balcı, Palme Yayınevi, 2016.
Kalkülüs Cilt I, Prof.Dr.M. Terziler, Yrd.Doç.Dr.T. Öner, Palme Yayıncılık, 2012
Shepley L. ROSS, Differential Equations, 1976
Doç. Dr. Uğur Er Çözümlü integral tekniği (1984) İstanbul

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	Define the basic concepts of aeronautical standards and rules. (Bloom 1)		1

KNOWLEDGE
Factual
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Organize teamwork during the collection, interpretation, announcement and application of data related to the field. (Bloom 6)			2

SKILLS
Cognitive
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Perform theoretical and practical knowledge related to his/her field in business life using analytical methods and modeling techniques. (Bloom 4)					4
2	Use maintenance manuals and other sources of information in business life to obtain information about the field			2
3	Determine the actualities of all technical and administrative documents related with the field. (Bloom 1)		1
4	Perform theoretical and practical knowledge related to his/her field in business life using analytical methods and modeling techniques. (Bloom 4)			2

SKILLS
Practical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Use computer software, information and communication technologies at the level required by the field				3
2	Interpret the sketches, scheme, graphics that describe the subject. (Bloom 2)				3

OCCUPATIONAL
Autonomy & Responsibility
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Develop solutions for problems faced during application. (Bloom 6)				3

OCCUPATIONAL
Learning to Learn
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Determine the learning requirements related with his/her field. (Bloom 3)				3
2	Use the lifelong learning principles in occupational development. (Bloom 3)				3

OCCUPATIONAL
Communication & Social
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Apply the technical drawing knowledge effectively in business life. (Bloom 3)		1
2	By informing the relevant persons and institutions about the related field; state his / her thoughts and suggestions for solutions in the field.				3
3	Debate his/her ideas and solution suggestions with experts by supporting them with quantitative and qualitative data. (Bloom 2)					4
4	Participate in training related to the field at international level. (Bloom 3)				3
5	Organize activities for the professional development of employees under his/her responsibility. (Bloom 6).			2

OCCUPATIONAL
Occupational and/or Vocational
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Use the knowledge and skills obtained during undergraduate education in work life. (Bloom 3)				3
2	Solve the problems encountered in his/her field. (Bloom 3)				3
3	Apply the necessary culture of behavior in the areas of quality management and processes and environmental protection and occupational safety (Bloom 3)			2
4	Locate the awareness of safety factor to himself and to the team. (Bloom 1)				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	3	42
Preliminary & Further Study	14	2	28
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	1	20	20
Project Work	1	5	5
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	1	1
Preparation for the Final Exam	1	30	30
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	1	25	25
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	34	0	152