GAZI UNIVERSITY INFORMATION PACKAGE - 2019 ACADEMIC YEAR

COURSE DESCRIPTION
PROBABILITY THEORY/İST-329
Course Title: PROBABILITY THEORY
Credits 3 ECTS 5
Semester 5 Compulsory/Elective Elective
COURSE INFO
 -- LANGUAGE OF INSTRUCTION
  Turkish
 -- NAME OF LECTURER(S)
  Yrd Doç. Dr. Celal AYDIN
 -- WEB SITE(S) OF LECTURER(S)
  http://websitem.gazi.edu.tr/site/aydinc
 -- EMAIL(S) OF LECTURER(S)
  aydinc@gazi.edu.tr scelebi@gazi.edu.tr scelebi@gazi.edu.tr scelebi@gazi.edu.tr scelebi@gazi.edu.tr scelebi@gazi.edu.tr scelebi@gazi.edu.tr scelebi@gazi.edu.tr
 -- LEARNING OUTCOMES OF THE COURSE UNIT
He/she is able to use the mathematical properties of given probability concepts.
 -- MODE OF DELIVERY
  The mode of delivery of this course is Face to face
 -- PREREQUISITES AND CO-REQUISITES
  There is no prerequisite or co-requisite for this course.
 -- RECOMMENDED OPTIONAL PROGRAMME COMPONENTS
  There is no recommended optional programme component for this course.
 --COURSE CONTENT
1. Week  Families of sets, sigma algebra, semi-algebra, indicator functions
2. Week  Problem solving
3. Week  Events related to probability and Kolmogorov axioms, conditional probability
4. Week  Independence, Borel-Cantelli lemmas
5. Week  Problem solving
6. Week  Measurability
7. Week  Measurable functions, random variables
8. Week  Problem solving
9. Week  Distributions and distribution functions
10. Week  Examination
11. Week  Problem solving
12. Week  Expected values
13. Week  Monotone, dominated and limited convergence theorems
14. Week  Expected value functions
15. Week  Problem solving
16. Week  Final Exam
 -- RECOMMENDED OR REQUIRED READING
  Clarke L. E., 1975, Random Variables, Longman, London. Moran P. A. P., 1984, An Introduction to Probability Theory, Clarendon Press, Oxford. Bauer H., 1981, Probability Theory and Elements of Measure Theory, Academic Press, London.
 -- PLANNED LEARNING ACTIVITIES AND TEACHING METHODS
  Lecture, Practise
 -- WORK PLACEMENT(S)
  No
 -- ASSESSMENT METHODS AND CRITERIA
 
Quantity
Percentage
 Mid-terms
1
40
 Assignment
1
10
 Exercises
0
0
 Projects
0
0
 Practice
0
0
 Quiz
0
0
 Contribution of In-term Studies to Overall Grade  
50
 Contribution of Final Examination to Overall Grade  
50
 -- WORKLOAD
 Efficiency  Total Week Count  Weekly Duration (in hour)  Total Workload in Semester
 Theoretical Study Hours of Course Per Week
14
3
42
 Practising Hours of Course Per Week
0
0
0
 Reading
0
0
0
 Searching in Internet and Library
2
2
4
 Designing and Applying Materials
10
2
20
 Preparing Reports
3
5
15
 Preparing Presentation
0
0
0
 Presentation
0
0
0
 Mid-Term and Studying for Mid-Term
1
16
16
 Final and Studying for Final
1
28
28
 Other
0
 TOTAL WORKLOAD: 
125
 TOTAL WORKLOAD / 25: 
5
 ECTS: 
5
 -- COURSE'S CONTRIBUTION TO PROGRAM
NO
 PROGRAM LEARNING OUTCOMES
1
2
3
4
5
11. The statistical textbooks which include latest information about statistics, equipment and other resources supported by scientific approach on undergraduate level have theoretical and practical knowledge.X
22. Statisticians by using knowledge and skills acquired at bachelor degree level model, analyze, and interpret datasets.X
33. Statisticians identify and analyze the problems with current developments in statistic and also develop solutions based upon researches and proofs.X
44. Statisticians apply theoretical and practical knowledge acquired in Statistics at bachelor degree level to the current problems.X
55. Statisticians have the ability to use computer software and computing technology at the certain level required by statistics field.
66. Statisticians take responsibility at disciplinary and interdisciplinary studies as an individual or a team member.X
77. Statisticians must have knowledge and ability to follow development in the field of Statistics, and must develop life long-learning attitudes.X
88. By using a foreign language, statistician can keep track of every statistical information, and communicate with colleagues.X
99. Applying the statistical knowledge in the professional sense, statistician has social, scientific, and ethical values.X
1010. A statistician must have the ability to social sensitivity and socialization.X
1111. During the process of inference, a statistician uses time efficiently with the analytical thinking ability.X