MATEMATİK II DERS TANITIM VE UYGULAMA BİLGİLERİ

Kodu	Dersin Adı	Yarıyıl	Süresi(T+U)	Kredisi	AKTS Kredisi
MAT128	MATEMATİK II	2	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 the course is to provide the students with the knowledge of integral, integral, and series, and to provide the basis for the information they will use in the future and to provide an analytical thinking structure.
İçerik:	Course Content; Sums and Sigma Notation, Areas with Limits of Limits, Divisions and Riemann Totals, Definite Integral, Properties of Definite Integrals, Fundamental Theorem of Calculus, Inverse Derivatives, Indefinite Integral, Substitute Method, Trigonometric Integrals, Integer Imports, Integrals of Rational Functions, Inversions, Areas of Planar Regions, Spring Length, Volume, Surface Area, Mass, Moments and Center of Mass, Physics Applications of Definite Integrals, Non-Absolute Integals, Non-Integrals, Infinite Series, Convergence Tests for Positive Series, Power Series, Fourier Series.

DERSİN ÖĞRENME ÇIKTILARI (Öğrenciler, bu dersi başarı ile tamamladıklarında aşağıda belirtilen bilgi, beceri ve/veya yetkinlikleri gösterirler.)
To teach the basic principles of integral concept and to make connections between abstract concepts and real world concepts
Analyze the causal relationship between the differences between specific and indefinite integral
Apply integral to problems in physics
Develop a rational thinking ability to the problems in the field of physics

HAFTALIK DERS KONULARI VE ÖNGÖRÜLEN HAZIRLIK ÇALIŞMALARI
Hafta	Ön Hazırlık	Konular	Yöntem
1	Internet and book research	Totals and Sigma Notation, Areas with Limits of Limits, Divisions and Riemann Totals	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
2	Internet and book research	Definite integral, properties of definite integral, basic theorem of calculus	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
3	Internet and book research	Inverse Derivatives, Indefinite Integral, Replacement Method	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
4	Internet and book research	Trigonometric Integrals	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
5	Internet and book research	Integral Integration, Integrals of Rational Functions	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
6	Internet and book research	Inverted Substitutions	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
7	Internet and book research	Areas of Planar Regions, Spring Length	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
8	-	MID-TERM EXAM	-
9	Internet and book research	Volume, Surface Area	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
10	Internet and book research	Mass, Moments and Mass Center	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
11	Internet and book research	Physics Applications of Definite Integrals	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
12	Internet and book research	Incompatible Integrals	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
13	Internet and book research	Infinite Series, Convergence Tests for Positive Series	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
14	Internet and book research	Power Series	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
15	Internet and book research	Fourier Series	Expression Question answer Case Study Method Demonstration Method Problem Solving Method
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

KAYNAKLAR
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)					4

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)					4

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

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					4
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)					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.				3
3	Debate his/her ideas and solution suggestions with experts by supporting them with quantitative and qualitative data. (Bloom 2)				3
4	Participate in training related to the field at international level. (Bloom 3)					4
5	Organize activities for the professional development of employees under his/her responsibility. (Bloom 6).				3

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)						5
2	Solve the problems encountered in his/her field. (Bloom 3)					4
3	Apply the necessary culture of behavior in the areas of quality management and processes and environmental protection and occupational safety (Bloom 3)						5
4	Locate the awareness of safety factor to himself and to the team. (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	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