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Course Information
Course Unit Title : Analysis II
Course Unit Code : MAT102
Type of Course Unit : Compulsory
Level of Course Unit : First Cycle
Year of Study : 1
Semester : 2.Semester
Number of ECTS Credits Allocated : 8,00
Name of Lecturer(s) : ---
Course Assistants : ---
Learning Outcomes of The Course Unit : To define the conception of the indefinite integral
To define the integral methods
To define the Riemann integral and some related theorems
To define the applications of the Riemann integral
To use the generalized integrals and their properties
Mode of Delivery : Face-To-Face
Prerequisities and Co-requisities Courses : Unavailable
Recommended Optional Programme Components : Unavailable
Course Contents : Indefinite integral, methods of the indefinite integrals, Properties of the Riemann integral and some related theorems, Applications of Riemann integral (Calculation of Area, length of arc, volume and surface area ), The Generalized integrals and properties.
Languages of Instruction : Turkish-English
Course Goals : To define the conception of the indefinite integral
To define the integral methods
To define the Riemann integral and some related theorems
To define the applications of the Riemann integral
To use the generalized integrals and their properties
Course Aims : To teach indefinite integral, methods of indefinite integral, Properties of the Riemann integral, the Riemann integral and some related theorems, Applications of the Riemann integral (Calculation of Area, length of arc, volume and surface area), Generalized integrals and their properties
WorkPlacement   Not Available
Recommended or Required Reading
Textbook :
Additional Resources : Balcı, M., ?Analiz I?, Balcı Yayınları, 2001.
Stoll, M. ?Introduction to Real Analysis?, Addison Wesley, New York, 2001.
Ross, K.A., ''Elementary Analyis, the theory of Calculus'', Springer-Verlag, New York,1980.
Material Sharing
Documents :
Assignments :
Exams :
Additional Material :
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
ECTS / Table Of Workload (Number of ECTS credits allocated)
Student workload surveys utilized to determine ECTS credits.
Activity :
Number Duration Total  
Course Duration (Excluding Exam Week) :
16 6 96  
Time Of Studying Out Of Class :
16 5 80  
Homeworks :
2 15 30  
Presentation :
0 0 0  
Project :
0 0 0  
Lab Study :
0 0 0  
Field Study :
0 0 0  
Visas :
1 15 15  
Finals :
1 15 15  
Workload Hour (30) :
30  
Total Work Charge / Hour :
236  
Course's ECTS Credit :
8      
Assessment Methods and Criteria
Studies During Halfterm :
Number Co-Effient
Visa :
0 0
Quiz :
0 0
Homework :
0 0
Attendance :
0 0
Application :
0 0
Lab :
0 0
Project :
0 0
Workshop :
0 0
Seminary :
0 0
Field study :
0 0
   
TOTAL :
0
The ratio of the term to success :
0
The ratio of final to success :
0
TOTAL :
0
Weekly Detailed Course Content
Week Topics  
1 Indefinite integrals
 
2 Methods of integrals, changing variables, partial integration
 
3 Seperation of the simple fractions, Reduction formulas
 
4 Binom integrals and their properties
 
5 Integrals of the radical expressions, introduction of the Riemann integral
 
6 Integrations of the step functions
 
7 Riemann integral and some properties


 
8 Fundamental theorem of integration
 
9 Other theorems
 
10 Applications of the Riemann integral, Calculation of Area
 
11 Calculation of length of arc and volume
 
12 To compute the surface area and moment
 
13 Generalized integrals
 
14 Generalized integrals