Course Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  MAT152  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) 
Öğr. Gör. Dr. Ahmet 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 apply integral to problems in the field of statistics  4  to gain ability of analytic approach to the statistics problems  5   6   7  

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
• indefinite integral methods
• Riemannn integrals and properties
• Mean value theorems on integrals
• Aplications of the definite integrals( area, volume, lengths of curves, area of surface)
• Improper integrals

Weekly Detailed Course Contents 

0  Indefinite integrals and the methods of finding primitive  Giving some information about course   1  Method of change of variables at definite integrals  Solving problems with a mentor   2  Rational function integrals
 Solving problems with a mentor   3  Trigonometric integrals  Solving problems with a mentor   4  İntegrals of irrational functions, integrals of binomial integrals  Solving problems with a mentor   5  Partition , lower sum and upper sum  Solving problems with a mentor   6  Riemannn integrals and properties  Solving problems with a mentor   7  Midterm exam    8  Theorems of integrals  Solving problems with a mentor   9  Area  Solving problems with a mentor   10  Volume  Solving problems with a mentor   11  Lengths of arc  Solving problems with a mentor   12  Area of surface  Solving problems with a mentor   13  Improper integrals  Solving problems with a mentor   14  convergence tests for improper integrals  Solving problems with a mentor   15  Final Exam   

Recommended or Required Reading 
1. Thomas,G.B., Weir, M.D., Has, J., Giordana, F. R. ‘ Thomas Calculus 1’ (2010). 
Planned Learning Activities and Teaching Methods 

Assessment Methods and Criteria   Language of Instruction  Turkish  Work Placement(s)  None 

Workload Calculation 