Description of Individual Course Units
 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
Language of Instruction
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 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
 Week Theoretical Practice Laboratory 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