Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
MATHEMATICS II MAT 116 2 3 + 0 3 5
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Yrd.Doç.Dr. SERPİL HALICI Dersi Verenler Dersin Yardımcıları Research asistants of Mathematics Department Dersin Kategorisi Dersin Amacı To teach indefinite integral, methods of indefinite integral,Properties of the integral, Theorems related with the Riemann integral,Applications of the Riemann integral (Calculation of Area, length of arc, volume and surface area), Generalized integrals and their properties, functions of several variables Dersin İçeriği Indefinite integral, methods of the indefinite integrals,Properties of the Riemann integral and related theorems,Applications of Riemann integral (Calculation of Area, length of arc, volume and surface area ),The Generalized integrals and properties, functions of several variables
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/ she recognizes the concept of the indefinite integral 15 - 1 - 2 - 3 - 4 - A - C - 2 - He/ she applies the integral methods 3 - 4 - 1 - 15 - 2 - C - A - 3 - He/ she recognizes the definite integral 15 - 1 - 4 - 2 - 3 - A - C - 4 - He/ she recognizes the generalized integrals 3 - 4 - 1 - 15 - 2 - C - A - 5 - He/ she interprets the properties of the generalized integrals 15 - 2 - 1 - 3 - 4 - C - A - 6 - He/she recognizes functions of several variables 4 - 3 - 1 - 2 - 15 - A - C - 7 - He/she solves limit and continuity at the function of several variables 2 - 15 - 1 - 4 - 3 - C - A -
 Öğretim Yöntemleri: 15:Problem Solving 1:Lecture 2:Question-Answer 3:Discussion 4:Drilland Practice Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Indefinite integrals, methods of integrals, changing variables,partial integration.
2 Seperation of the simple fractions, integral of trigonometric functions
3 Integral of Irrational algebric functions, Binom integrals
4 Integrals of the radical expressions, Definition of definite integral
5 The problems of causing definite integral, Properties of definite integral
6 The method of changing variable, partial integral
7 Generalized integrals, nonspecific integrals, random examples
8 The convergence criterias of generalized integrals
9 Mid-term exam
10 Calculation of area, calculation of length of arc
11 Calculation of volume
12 Computation of surface area
13 The domains of functions of several variables
14 Limits and continuity of functions of several variables

Ders Notu
Ders Kaynakları

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Having necessary knowledge and skills for performing his/her proficiency in the subject of motor Technologies and basic manufacturing processes X
2 Having the latest knowledge and skills for theoretical and practical applications of motor systems and principals
3 Having the latest knowledge and skills for theoretical and practical applications of vehicle systems
4 Having the latest knowledge and skills for performing tests, control and maintenance of motor/vehicle systems and hardware
5 Having the latest knowledge and skills for diagnostics and renovation processes of vehicle/motor systems
6 Having the latest knowledge in Science and Engineering X
7 Having the latest knowledge and skills in the area of electric-electronic-computer for performing tasks related to his/her proficiency
8 Having foreign language skills and knowledge for making tasks related to his/her proficiency
9 Having the latest knowledge and skills for making design and research projects in his/her area X
10 Having the latest knowledge and skills in the area of servicing/management/job security related to his/her proficiency
11 Having the latest knowledge and skills for performing tasks in teaching and education in his/her area
12 Having necessary knowledge for performing tasks in the automobile industry

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 70
KisaSinav 1 12
Odev 1 6
KisaSinav 2 12
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

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