Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
404001062006MATHEMATICS ICompulsory116
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
1Be able to understand definition of function and the fundamental function
2Be able to comment on continuity and limit of functions at given points
3Be able to find derivative at a point of a given function.
4Be 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
WeekTheoreticalPracticeLaboratory
0NumbersGuided problem solving
1Relations and functionsGuided problem solving
2The properties of functionsGuided problem solving
3Function typesGuided problem solving
4The limit conceptGuided problem solving
5Undefinite limitGuided problem solving
6ContinuityGuided problem solving
7Midterm exam
8The definition of derivative Guided problem solving
9Derivative rulesGuided problem solving
10Derivative of a function of a single variableGuided problem solving
11The basic theorems of derivativeGuided problem solving
12The basic theorems of derivative, geometric interpretation of derivativesGuided problem solving
13OptimizationGuided problem solving
14Drawing of graphs Guided problem solving
15Final 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
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
SUM0
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Attending Lectures16464
Individual Study for Mid term Examination14242
Individual Study for Final Examination15555
TOTAL WORKLOAD (hours)165
Contribution of Learning Outcomes to Programme Outcomes
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LO13           3         
LO23           3         
LO3343   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