MATEMATİK DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MAT131	MATEMATİK	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. SİNEM GÜRKAN
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 is to increase the ability of students to approach mathematics and physics problems in a rational and analytical way and to provide students with the basic concepts and methods of mathematics throughout the courses. In addition, it is aimed to provide students with information about the uses of trigonometry and graphical representation and trigonometric relationships, to form the basis of the knowledge they will use in the future and to gain an analytical mindset.
İçerik:	Course Content; Real numbers and the real line, Cartesian coordinates in the plane, Graphs of quadratic equations, Functions and graphs, Combining functions to define new functions, Real numbers and the real line, Cartesian coordinates in the plane, Graphs of Quadratic Equations, Functions and Graphs, Combining Functions to Define New Functions, Polynomials and Rational Functions, Exponential and Logarithmic Functions, Natural Logarithm and Exponential, Trigonometric Functions and Inverse Trigonometric Functions, Limits of Functions, Limits at Infinity and Infinite Limits, Continuity, Tangent Lines and Slopes, Derivatives, Differential Rules, Chain Rule, Derivatives of Trigonometric Functions, Indefinite Forms, Extreme Values, Limits and Properties, Uncertainties in Limits, Continuity, Applications of Continuity, Definition of derivative, Derivative rules, Derivatives of function types, Derivative theorems, Derivative theorems and geometric interpretation of derivative, Application of derivative to optimization problems. Linear/linear equations and their solutions, Indices and exponents/powers, negative and fractional indices, Binary and other valid numbering systems, Simultaneous equations and two-degree equations with one known quantity, Logarithms, Simple geometric structures, Graphical representation; properties and uses of graphs, equation/function graphs, Simple trigonometry, Trigonometric relationships, Tables and the use of orthogonal and polar coordinates.

DERSİN ÖĞRENME ÇIKTILARI (Öğrenciler, bu dersi başarı ile tamamladıklarında aşağıda belirtilen bilgi, beceri ve/veya yetkinlikleri gösterirler.)
By teaching the basic starting principle of the definite integral concept, the student establishes a connection between abstract concepts and real-world concepts
Analyze the cause and effect relationship with the differences between definite and indefinite integral
Students apply the derivative operation to optimization problems in physical domains, especially for functions of one variable Describe models for professional problems with linear functions
Develops the ability to think rationally about problems in physics
Apply the integral to problems in physics

HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI
Hafta	Ön Hazırlık	Konular	Yöntem
1	Internet and book research on the subject	1.1. Arithmetic Arithmetic terms and symbols, multiplication and division methods, fractions, decimals, factors and multiples, weights, measures and conversion factors, ratio and proportion, averages and percentages, areas and volumes, squares, cubes, square and cube roots.	Lecture Question and Answer Case Study Method Demonstration Method Problem Solving Method
2	Internet and book research on the subject	1.1. Arithmetic Arithmetic terms and signs, multiplication and division methods, 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 Question and Answer Case Study Method Demonstration Method Problem Solving Method
3	Internet and book research on the subject	1.1. Arithmetic Arithmetic terms and signs, multiplication and division methods, 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 Question and Answer Case Study Method Demonstration Method Problem Solving Method
4	Internet and book research on the subject	1.1. Arithmetic Arithmetic terms and signs, multiplication and division methods, 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 Question and Answer Case Study Method Demonstration Method Problem Solving Method
5	Internet and book research on the subject	1.1. Arithmetic Arithmetic terms and signs, multiplication and division methods, 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.1.2. Algebra (a) Evaluation of simple algebraic expressions, addition, subtraction, multiplication and division, use of parentheses and simple algebraic fractions;	Lecture Question and Answer Case Study Method Demonstration Method Problem Solving Method
6	Internet and book research on the subject	1.2. Algebra (a) Evaluation of simple algebraic expressions, addition, subtraction, multiplication and division, use of parentheses and simple algebraic fractions;	Lecture Question and Answer Case Study Method Demonstration Method Problem Solving Method
7	Internet and book research on the subject	b) Linear equations and their solutions; Indices and exponents/powers, negative and fractional indices; Binary and other valid numbering systems; Simultaneous equations and two-degree equations with one known variable; Logarithms.	Lecture Question and Answer Case Study Method Demonstration Method Problem Solving Method
8	-	MID-TERM EXAM	-
9	Internet and book research on the subject	b) Linear equations and their solutions; Indices and exponents/powers, negative and fractional indices; Binary and other valid numbering systems; Simultaneous equations and two-degree equations with one known variable; Logarithms.	Lecture Question and Answer Case Study Method Demonstration Method Problem Solving Method
10	Internet and book research on the subject	(b) Linear equations and their solutions; Indices and exponents/powers, negative and fractional indices; Binary and other valid numbering systems; Simultaneous equations and two-degree equations with one known variable; Logarithms.	Lecture Question and Answer Case Study Method Demonstration Method Problem Solving Method
11	Internet and book research on the subject	1.3 Geometry (a) Simple geometric structures; (b) Graphical representation; properties and uses of graphs, equation/function graphs;	Lecture Question and Answer Case Study Method Demonstration Method Problem Solving Method
12	Internet and book research on the subject	b) Graphical representation; properties and uses of graphs, equation/function graphs;	Lecture Question and Answer Case Study Method Demonstration Method Problem Solving Method
13	Internet and book research on the subject	(c) Simple trigonometry; trigonometric relations; table and use of orthogonal and polar coordinates.	Lecture Question and Answer Case Study Method Demonstration Method Problem Solving Method
14	Internet and book research on the subject	(c) Simple trigonometry; trigonometric relations; table and use of orthogonal and polar coordinates.	Lecture Question and Answer Case Study Method Demonstration Method Problem Solving Method
15	Internet and book research on the subject	(c) Simple trigonometry; trigonometric relations; table and use of orthogonal and polar coordinates.	Lecture Question and 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.
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)			2

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)			2
2	Use maintenance manuals and other sources of information in business life to obtain information about the field. (Bloom3)			2
3	Determine the actualities of all technical and administrative documents related with the field. (Bloom 1)			2
4	Perform theoretical and practical knowledge related to his/her field in business life using analytical methods and modeling techniques. (Bloom 4)					4

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. (Bloom 3)					4
2	Interpret the sketches, scheme, graphics that describe the subject. (Bloom 2)					4

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

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)					4
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)					4
2	By informing the relevant persons and institutions about the related field; state his / her thoughts and suggestions for solutions in the field.(Bloom 1)					4
3	Debate his/her ideas and solution suggestions with experts by supporting them with quantitative and qualitative data. (Bloom 2)			2
4	Participate in training related to the field at international level. (Bloom 3)			2
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)			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	2	28
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	1	1
Preparation for the Final Exam	1	10	10
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	2	10	20
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	33	0	102