Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
İST313PROBABILITY THEORYElective354
Level of Course Unit
First Cycle
Objectives of the Course
The aim of this course is to give the basic concepts and theorems of probability theory.
Name of Lecturer(s)
Doç.Dr. Halil TANIL
Learning Outcomes
1To be able to define probability measure.
2To know the basic concepts of probability.
3To have the definition of functions used in probability calculation.
4To have definitions of basic convergence types.
5To be able to prove central limit theorem and law of large numbers.
Mode of Delivery
Face to Face
Prerequisites and co-requisities
Recommended Optional Programme Components
Course Contents
Set Theory, Measure Theory, Probability measure and its properties, Random variables, Distribution functions and properties, Convergence, Some inequalities, Central limit theorem, Law of Large Numbers (weak and strong).
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Introduction to the course and some motivations
2Set Theory
3Set Theory
4Measure Theory
5Measure Theory
6Probability Measure and its Properties
7Probability Measure and its Properties
8Random Variables
9Midterm
10Distribution Functions and its Properties
11Distribution Functions and its Properties
12Convergences
13Convergences
14Inequalities, Central Limit Theorem, Law of Large Numbers
15Inequalities, Central Limit Theorem, Law of Large Numbers
16Final Exam
Recommended or Required Reading
- Aladdin Şamilov, “Ölçüm Teorisi, Olasılık ve Lebesgue İntegrali”, T.C. Anadolu Üniversitesi Yayınları, Eskişehir, 2007. - Hayri Körezlioğlu and Azize Bastıyalı Hayfavi, “Elements of Probability Theory”, ODTÜ Basım İşliği, Ankara, 2001. - Alifettah Shahbazov, “Olasılık Teorisine Giriş”, Birsen Yayınevi, 2005.
Planned Learning Activities and Teaching Methods
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Work Placement(s)
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Attending Lectures14342
Self Study14342
Individual Study for Mid term Examination11010
Individual Study for Final Examination11010
Reading14114
TOTAL WORKLOAD (hours)122
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
PO
11
PO
12
PO
13
PO
14
PO
15
PO
16
PO
17
PO
18
PO
19
PO
20
PO
21
PO
22
PO
23
PO
24
LO15                4      
LO25           5    4      
LO35                4      
LO45                4      
LO55        5       4      
* 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