Course Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  404001102006  MATHEMATICS II  Compulsory  1  2  5 

Level of Course Unit 
First Cycle 
Objectives of the Course 
The aim of this course is to construct a basis of information which student will use in future by giving detailed information about integral, applications of integral and series, and to have students being learned analytical thought. 
Name of Lecturer(s) 
Prof. Dr. İlkay Karaca, Assoc. Prof. Dr. Nüket Hamal 
Learning Outcomes 
1  Be able to understand the fundemental principal of defined integral  2  Be able to understand the relation of cause and effect by definite and undefinite integral  3  Be able to use integral in real life applications  4  Be able to understand numerical series and their convergence at series 

Mode of Delivery 
Face to Face 
Prerequisites and corequisities 
None 
Recommended Optional Programme Components 
None 
Course Contents 
Indefinite integrals and the methods of finding primitive, change of variables , Riemannn integrals and properties, Mean value theorems on integrals, Improper integrals and convergence, Aplications of the definite integrals( area, volume, lengths of curves, area of surface), Series 
Weekly Detailed Course Contents 

1  Indefinite integrals and the methods of finding primitive    2  Method of change of variables at definite integrals    3  Rational function integrals    4  Trigonometric integrals Partition    5  İntegrals of irrational functions, integrals of binomial integrals    6  Partition , lower sum and upper sum    7  Riemannn integrals and properties    8  Midterm exam    9  Theorems of integrals    10  Area    11  Volume,(Quiz)    12  Lengths of arc    13  Area of surface    14  Improper integrals    15  Series    16  Final   

Recommended or Required Reading 
TEXTBOOK/RECOMMENDED READING
1. Çoker D., Özer O., Taş K. "Genel Matematik" , Cilt I, (1996)
2. Thomas, G. B. and Finney, R. L., "Calculus and Analytic Geometry", 9th ed., Addison Wesley, (1998)
3. Mustafa Balcı, "Analiz I" Balcı yayınları.
4. J.Steward, Kalculus, TÜBA Yayınları (2007)

Planned Learning Activities and Teaching Methods 
Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation" 
Assessment Methods and Criteria   Language of Instruction  Turkish  Work Placement(s)  None 

Workload Calculation 