MATEMATİK I DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MAT101	MATEMATİK I	1	4	4	4

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. BEDİA MERİH ÖZÇETİN
Dersi Veren Öğretim Üyesi/Öğretim Görevlisi	Dr.Öğr.Üyesi BEDİA MERİH ÖZÇETİN
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.)
Functions, define the kinds of properties are known.
Limits and continuity solutions makes knows.
Can derivative of the algebraic and geometric definition.
Derivatives can be used in solving various technical problems.
Knows the meaning of indefinite integrals, the formula subtracts.
Makes about problem solving indefinite integral.

HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI
Hafta	Ön Hazırlık	Konular	Yöntem
1	1.1. Arithmetic	Arithmetic terms and signs, methods of multiplication and division, fractions/fractions and decimals, factors and multipliers, weights, measures and conversion factors, ratio and proportion, averages and percentages, areas and volumes, squares, cubes, square and cube roots.	Lecture Discussion
2	1.1. Arithmetic	Arithmetic terms and signs, methods of multiplication and division, fractions/fractions and decimals, factors and multipliers, weights, measures and conversion factors, ratio and proportion, averages and percentages, areas and volumes, squares, cubes, square and cube roots.	Lecture Discussion
3	1.1. Arithmetic	Arithmetic terms and signs, methods of multiplication and division, fractions/fractions and decimals, factors and multipliers, weights, measures and conversion factors, ratio and proportion, averages and percentages, areas and volumes, squares, cubes, square and cube roots.	Lecture Discussion
4	1.1. Arithmetic	Arithmetic terms and signs, methods of multiplication and division, fractions/fractions and decimals, factors and multipliers, weights, measures and conversion factors, ratio and proportion, averages and percentages, areas and volumes, squares, cubes, square and cube roots.	Lecture Discussion
5	1.1. Arithmetic 1.2. Algebra	Arithmetic terms and signs, methods of multiplication and division, fractions/fractions and decimals, factors and multipliers, weights, measures and conversion factors, ratio and proportion, averages and percentages, areas and volumes, squares, cubes, square and cube roots. Evaluation of simple algebraic expressions, addition, subtraction, multiplication and division, use of brackets and simple algebraic fractions/fractions;	Lecture Discussion
6	1.2. Algebra	Evaluation of simple algebraic expressions, addition, subtraction, multiplication and division, use of brackets and simple algebraic fractions/fractions;	Lecture Discussion
7	1.2. Algebra	Evaluation of simple algebraic expressions, addition, subtraction, multiplication and division, use of brackets and simple algebraic fractions/fractions; Linear/linear equations and their solutions; Indices and exponents/forces, negative and fractional indices; Binary and other valid numbering systems; Simultaneous equations and equations of two degrees with one known; Logarithms.	Lecture Discussion
8	-	MID-TERM EXAM	-
9	1.2. Algebra	Linear/linear equations and their solutions; Indices and exponents/forces, negative and fractional indices; Binary and other valid numbering systems; Simultaneous equations and equations of two degrees with one known; Logarithms.	Lecture Discussion
10	1.2. Algebra 1.3 Geometry	Simple geometric structures; graphical representation; properties and uses of graphs, equation/function graphs;	Lecture Discussion
11	1.3 Geometry	graphical representation; properties and uses of graphs, equation/function graphs; Simple trigonometry; trigonometric relations; use of tables and orthogonal and polar coordinates.	Lecture Discussion
12	1.3 Geometry	graphical representation; properties and uses of graphs, equation/function graphs; Simple trigonometry; trigonometric relations; use of tables and orthogonal and polar coordinates.	Lecture Discussion
13	1.3 Geometry	Simple trigonometry; trigonometric relations; use of tables and orthogonal and polar coordinates.	Lecture Discussion
14	1.3 Geometry	Simple trigonometry; trigonometric relations; use of tables and orthogonal and polar coordinates.	Lecture Discussion
15	-	FINAL EXAM	Lecture Discussion
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

KAYNAKLAR
Differential and integral calculus W. A. Graville-P.F. Smith-W.R. Comgley
Prof. High math problems. Dr.. Ahmet KARADENİZ
Differential and integral calculus Murtaza CALI
ALEXANDER higher mathematics Naci
And Analytıic Geometry Calculus George B. THOMAS

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	Applies the knowledge and skills related to the field by considering the legal dimension of occupational health and safety.				3
2	Can make applications related to aviation electricity.					4
3	Can make applications related to aviation electronics.				3
4	Learns the aviation applications of Electrical-Electronics subjects.				3
5	Relates the concepts of entrepreneurship and innovation to the field.						5

KNOWLEDGE
Factual
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Uses theoretical and applied knowledge about the field in business life by choosing appropriate analytical methods and modeling techniques.					4
2	Adapts to the environment in which works as a team member.(dişil)						5
3	Develops a suitable solution method when faced with a problem					4
4	Prepares written agreements with relevant institutions in accordance with the legislation.					4
5	As a team member, manages all stages from planning to implementation of aviation activities					4

SKILLS
Cognitive
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Since has technical dexterity in a negative situation in her field, she can take the necessary precautions and intervene in the situation.(dişil)					4
2	Makes the problem encountered in a study in the field appropriate within the team.						5

SKILLS
Practical
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Uses computer software, information and communication technologies at the level required by the field (use) Bloom 3					4
2	A sketch, diagram, graph, etc., describing the subject. reading and interpreting documents (interprent). (Bloom 2)				3

OCCUPATIONAL
Autonomy & Responsibility
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Since will graduate with a certificate from the recognized school, she has the necessary knowledge and dexterity in the fields of aviation electricity and electronics.						5
2	Develops solutions for unforeseen problems encountered in practice. (develop) (Bloom 6)						5

OCCUPATIONAL
Learning to Learn
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Determines the learning requirements related to the field (determine) (Bloom 3)						5
2	Uses lifelong learning principles in professional development (Bloom 3)					4

OCCUPATIONAL
Communication & Social
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Apply technical drawing knowledge effectively in business life (Bloom 3)				3
2	By informing the relevant people and institutions on the issues related to the field; states his thoughts and suggestions for solutions to problems in written and verbal form (state) (Bloom 1)				3
3	Discusses with experts (debate) by supporting their thoughts and solutions to problems with quantitative and qualitative data (Bloom 2)			2
4	Participates in training at international level (participate) (Bloom 3)				3
5	Organizes activities for the professional development of employees under his/her responsibility. (organized) (Bloom 6)				3

OCCUPATIONAL
Occupational and/or Vocational
	Program Yeterlilikleri/Çıktıları	Katkı Düzeyi
		0	1	2	3	4	5
1	Graduates with a school certificate recognized by SHGM and the need for qualified electrical-electronic personnel in the aviation sector is met.					4
2	He uses the knowledge and skills he gained during his undergraduate education in business life. (Bloom 3)				3
3	Solves the problems encountered in the field. (solve) (Bloom 3)				3
4	Applies the necessary behavior culture on quality management and processes, environmental protection and occupational safety to the team (apply) (Bloom 3)					4
5	He places the safety factor awareness in himself and his team. (locate) Bloom 1)						5

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	4	56
Preliminary & Further Study	3	4	12
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	4	4	16
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	1	1
Preparation for the Final Exam	2	4	8
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	2	4	8
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	27	0	102