Course Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  MAT164  MATHEMATICS II  Compulsory  1  2  4 

Level of Course Unit 
First Cycle 
Language of Instruction 
Turkish 
Objectives of the Course 
Mathematics is of essential importance for students to give the ability of systematic and analytic approach to the problems.

Name of Lecturer(s) 
Matematik Bölümü Öğretim Elemanları 
Learning Outcomes 
1  to gain ability of analytic approach to the problems  2  to provide the tools for the other courses  3  to understand the connection between integral and real life problems by being given examples of the application areas of both definite and indefinite integral.  4  to improve mathematical sense 

Mode of Delivery 
Face to Face 
Prerequisites and corequisities 
None 
Recommended Optional Programme Components 
None 
Course Contents 
Riemannn integrals and properties,
mean value theorems on integrals,
change of variables,
indefinite integrals and the methods of finding primitive,
improper integrals and convergence,
applications of the definite integrals( area, volume, area of surface),
numerical series and convergence properties of series. 
Weekly Detailed Course Contents 

0  Partition , lower sum and upper sum    1  Riemannn integrals and properties    2  Theorems of integrals    3  Method of change of variables, at definite integrals.    4  Indefinite integrals and the methods of finding primitive,    5  Trigonometric integrals    6  Rational function integrals    7  Midterm exam    8  Improper integrals    9  Convergence at improper integrals    10  Area    11  Volume    12  Area of surface    13  Length of arc    14  Numerical series and convergence properties of series    15  Final   

Recommended or Required Reading 
TEXTBOOK/RECOMMENDED READING
1. Stein, S. K. and Barcellos, A., "Calculus and Analytic Geometry", McGraw Hill, (1992)
2. Thomas, G.B., “Thomas’ Calculus”, Addison Wesley (11th edition 2005)

Planned Learning Activities and Teaching Methods 
Activities are given in detail in the sections of "Assessment Methods and Criteria" and "Workload Calculation". 
Assessment Methods and Criteria  
Midterm Examination  1  100  SUM  100  
Final Sınavı  1  100  SUM  100  Term (or Year) Learning Activities  40  End Of Term (or Year) Learning Activities  60  SUM  100 
 Work Placement(s)  None 

Workload Calculation 