Ders Tanımı
Ders  Kodu  Yarıyıl  T+U Saat  Kredi  AKTS 

MATHEMATICS II  MAT 112  2  4 + 0  4  6 
Ön Koşul Dersleri  

Önerilen Seçmeli Dersler 
Dersin Dili  Türkçe 
Dersin Seviyesi  Lisans 
Dersin Türü  ZORUNLU 
Dersin Koordinatörü 
Doç.Dr. MURAT GÜZELTEPE 
Dersi Verenler  
Dersin Yardımcıları 
Research Assistants in mathematics department 
Dersin Kategorisi  Genel Eğitim 
Dersin Amacı 
To teach indefinite integral, methods of indefinite integral, Characteristics 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 characteristics, functions of several variables. 
Dersin İçeriği 
Indefinite integral and methods for calculating integrals, Properties of definite intagral and related theorems, applications of definite integral (calculating Area, arc length, volume, surface area), Generalized integrals and their properties, multivariable functions. 
Dersin Öğrenme Çıktıları  Öğretim Yöntemleri  Ölçme Yöntemleri 
1  He/ she recognizes the concept of the indefinite integral.  1  4  15   A  C  
2  He/ she applies the integral methods  1  4  15   A  C  
3  He/ she recognizes the definite integral .  1  4  15   A  C  
4  He/ she recognizes the generalized integrals.  1  4  15   A  C  
5  He/ she interprets the properties of the generalized integrals.  1  4  15   A  C  
6  He/she recognizes functions of several variables.  1  4  15   A  C  
7  He/she solves limit and continuity at the function of several variables.  1  4  15   A  C  
8   1  4  15   A  C  
9   1  4  15   A  C  
10   1  4  15   A  C  
11   1  4  15   A  C  
Öğretim Yöntemleri:  1:Lecture 4:Drilland Practice 15:Problem Solving 
Ölçme Yöntemleri:  A:Testing C:Homework 
Ders Akışı
Hafta  Konular  ÖnHazırlık 

1  Indefinite integrals, methods of integrals, changing variables.  
2  Partial integration method. Integral of rational functions.  
3  Integral of trigonometrical expressions.  
4  Integral of Irrational algebraic functions, Binom integrals Various changing variables.  
5  Concept of definite integral. The problems of causing definite integral. Definition of definite integral.  
6  Calculation of definite integral with the help of its definition. Proof of basic integration rules.  
7  Basic theorİes of integral calculation. Changing variables methods in definite integral.  
8  Partial integration method for definite integrals. Integral of some special defined functions.  
9  Calculation of area,  
10  Calculation of volume with definite integral  
11  Calculation of volume with definite integral  
12  Calculation of length of arc, Computation of surface area of rotated objects.  
13  Generalized integrals.  
14  Calculation of area and volume with generalized integral. 
Kaynaklar 


Ders Notu 
Lecture Notes 

Ders Kaynakları 
[1] Thomas, G.B., Thomas Calculus, 11.baskı, çeviri:Recep Korkmaz, Beta Basım, 2010. 
Döküman Paylaşımı 

Dersin Program Çıktılarına Katkısı
No  Program Öğrenme Çıktıları  KatkıDüzeyi  

1  2  3  4  5  
1  Engineering graduates with sufficient knowledge background on science and engineering subjects of their related area, and who are skillful in implementing theoretical and practical knowledge for modelling and solving engineering problems.  X  
2  Engineering graduates with skills in identifying, describing, formulating and solving complex engineering problems, and thus,deciding and implementing appropriate methods for analyzing and modelling.  X  
3  Engineering graduates with skills in designing a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; for this purpose, skills in implementing modern design methods.  
4  Engineering graduates with skills in developing, selecting and implementing modern techniques and tools required for engineering applications as well as with skills in using information technologies effectively.  
5  Engineering graduates with skills in designing and conducting experiments, collecting data, analyzing and interpreting the results in order to evaluate engineering problems.  
6  Engineering graduates who are able to work within a one discipline or multidiscipline team,as well as who are able to work individually  
7  Engineering graduates who are able to effectively communicate orally and officially in Turkish Language as well as who knows at least one foreign language  
8  Engineering graduates with motivation to lifelong learning and having known significance of continuous education beyond undergraduate studies for science and technology  
9  Engineering graduates with wellstructured responsibilities in profession and ethics  
10  Engineering graduates having knowledge about practices in professional life such as project management, risk management and change management, and who are aware of innovation and sustainable development.  
11  Engineering graduates having knowledge about universal and social effects of engineering applications on health, environment and safety, as well as having awareness for juridical consequences of engineering solutions. 
Değerlendirme Sistemi
YARIYIL İÇİ ÇALIŞMALARI  SIRA  KATKI YÜZDESİ 

AraSinav  1  70 
KisaSinav  1  10 
KisaSinav  2  10 
Odev  1  10 
Toplam  100  
Yıliçinin Başarıya Oranı  50  
Finalin Başarıya Oranı  50  
Toplam  100 
AKTS  İş Yükü
Etkinlik  Sayısı  Süresi(Saat)  Toplam İş yükü(Saat) 

Course Duration (Including the exam week: 16x Total course hours)  16  4  64 
Hours for offtheclassroom study (Prestudy, practice)  16  4  64 
Midterms  1  10  10 
Quiz  2  2  4 
Assignment  1  10  10 
Final examination  1  10  10 
Toplam İş Yükü  162  
Toplam İş Yükü /25(s)  6.48  
Dersin AKTS Kredisi  6.48 