Description of Individual Course Units
 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
Language of Instruction
Turkish
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 co-requisities
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
 Week Theoretical Practice Laboratory 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
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
 Term (or Year) Learning Activities Quantity Weight Midterm Examination 1 100 SUM 100 End Of Term (or Year) Learning Activities Quantity Weight 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
 Activities Number Time (hours) Total Work Load (hours) Midterm Examination 1 2 2 Final Examination 1 2 2 Attending Lectures 16 4 64 Individual Study for Mid term Examination 1 42 42 Individual Study for Final Examination 1 55 55 TOTAL WORKLOAD (hours) 165
Contribution of Learning Outcomes to Programme Outcomes
 PO1 PO2 PO3 PO4 PO5 PO6 PO7 PO8 PO9 PO10 PO11 PO12 PO13 PO14 PO15 PO16 PO17 PO18 PO19 PO20 PO21 PO22 LO1 3 3 LO2 3 3 LO3 3 4 3 3 5 3 3 LO4
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High

Ege University, Bornova - İzmir / TURKEY • Phone: +90 232 311 10 10 • e-mail: intrec@mail.ege.edu.tr