Course Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  404001062006  MATHEMATICS I  Compulsory  1  1  6 

Level of Course Unit 
First Cycle 
Objectives of the Course 
The main objective of the course is to make the students form a mathematical background by instructing required information about relation,function, limit, continuity, derivative. 
Name of Lecturer(s) 
Prof. Dr. İlkay Karaca, Assoc. Prof. Dr. Nüket Hamal , Öğr. Gör. Dr. Ahmet HAMAL 
Learning Outcomes 
1  Be able to understand definition of function and the fundamental function  2  Be able to comment on continuity and limit of functions at given points  3  Be able to find derivative at a point of a given function.  4  Be able to apply the derivative to the problems in daily life impending firstly optimization problems. 

Mode of Delivery 
Face to Face 
Prerequisites and corequisities 
None 
Recommended Optional Programme Components 
None 
Course Contents 
Numbers, Functions, Limits and continuity concept at functions, Derivative and its applications, Drawing of graphs 
Weekly Detailed Course Contents 

0  Numbers  Guided problem solving   1  Relations and functions  Guided problem solving   2  The properties of functions  Guided problem solving   3  Function types  Guided problem solving   4  The limit concept  Guided problem solving   5  Undefinite limit  Guided problem solving   6  Continuity  Guided problem solving   7  Midterm exam    8  The definition of derivative  Guided problem solving   9  Derivative rules  Guided problem solving   10  Derivative of a function of a single variable  Guided problem solving   11  The basic theorems of derivative  Guided problem solving   12  The basic theorems of derivative, geometric interpretation of derivatives  Guided problem solving   13  Optimization  Guided problem solving   14  Drawing of graphs  Guided problem solving   15  Final Exam   

Recommended or Required Reading 
TEXTBOOK/RECOMMENDED READING
1.Stein, S. K. and Barcellos, A., "Calculus and Analytic Geometry", McGraw Hill, (1992)
2. Çoker D., Özer O., Taş K. "Genel Matematik" , Cilt 1, (1996)
3.Thomas, G. B. and Finney, R. L., "Calculus and Analytic Geometry", 9th ed., Addison Wesley, (1998)
4. Mustafa Balcı, "Analiz I" Balcı yayınları.
5. Hasan Şenay, Hacı Sulak, Ahmet Doğan, "Analiz I" .

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 