Course Unit Code  Course Unit Title  Type of Course Unit  Year of Study  Semester  Number of ECTS Credits  İST313  PROBABILITY THEORY  Elective  3  5  4 

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 
1  To be able to define probability measure.  2  To know the basic concepts of probability.  3  To have the definition of functions used in probability calculation.  4  To have definitions of basic convergence types.  5  To be able to prove central limit theorem and law of large numbers. 

Mode of Delivery 
Face to Face 
Prerequisites and corequisities 

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 

1  Introduction to the course and some motivations    2  Set Theory    3  Set Theory    4  Measure Theory    5  Measure Theory    6  Probability Measure and its Properties    7  Probability Measure and its Properties    8  Random Variables    9  Midterm    10  Distribution Functions and its Properties    11  Distribution Functions and its Properties    12  Convergences    13  Convergences    14  Inequalities, Central Limit Theorem, Law of Large Numbers    15  Inequalities, Central Limit Theorem, Law of Large Numbers    16  Final 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  
Midterm Examination  1  100  SUM  100  
Final Examination  1  100  SUM  100  Term (or Year) Learning Activities  40  End Of Term (or Year) Learning Activities  60  SUM  100 
 Language of Instruction   Work Placement(s)  

Workload Calculation 