COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Probability Theory * ISB   203 3 4 4 6

Prerequisites and co-requisites Yok
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof.Dr. Ali İhsan GENÇ
Instructors
Prof.Dr.ALİ İHSAN GENÇ1. Öğretim Grup:A
Prof.Dr.ALİ İHSAN GENÇ2. Öğretim Grup:A
 
Assistants
Goals
To give a mathematical basis for statistics
Content
Starting with the definitions of probability, the random variables and their properties are studied.

Learning Outcomes
-


Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Explain the essence fundamentals and concepts in the field of Probability, Statistics and Mathematics
X
2
Emphasize the importance of Statistics in life
X
3
Define basic principles and concepts in the field of Law and Economics
4
Produce numeric and statistical solutions in order to overcome the problems
X
5
Use proper methods and techniques to gather and/or to arrange the data
X
6
Utilize computer systems and softwares
X
7
Construct the model, solve and interpret the results by using mathematical and statistical tehniques for the problems that include random events
X
8
Apply the statistical analyze methods
X
9
Make statistical inference(estimation, hypothesis tests etc.)
X
10
Generate solutions for the problems in other disciplines by using statistical techniques
X
11
Discover the visual, database and web programming techniques and posses the ability of writing programme
12
Construct a model and analyze it by using statistical packages
X
13
Distinguish the difference between the statistical methods
X
14
Be aware of the interaction between the disciplines related to statistics
X
15
Make oral and visual presentation for the results of statistical methods
X
16
Have capability on effective and productive work in a group and individually
X
17
Professional development in accordance with their interests and abilities, as well as the scientific, cultural, artistic and social fields, constantly improve themselves by identifying training needs
X
18
Develop scientific and ethical values in the fields of statistics-and scientific data collection
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Sigma algebra and probability space
2 Consequences of Probability, random variables
3 Distribution functions and their properties
4 Discrete random variables, continuous random variables, probability mass functions, probability density functions
5 Quantile function and generating random numbers from distributions
6 Distributions of functions of random variables
7 Moment generating function, moments, expected value,variance
8 Mid-Term Exam
9 Midterm exam
10 Characteristic function, probability generating function
11 Named discrete distributions and their properties
12 Named discrete distributions and their applications
13 Named continuous distributions and their properties
14 Named continuous distributions and their applications
15 Location-scale family
16-17 Term Exams

Recommended or Required Reading
Textbook
Additional Resources