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•           Information on Degree Programmes

COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Combinatorics * ISB   491 7 3 3 5

 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. Selahattin KAÇIRANLAR
Instructors
 Prof.Dr. SELAHATTİN KAÇIRANLAR 1. Öğretim Grup:A Prof.Dr. SELAHATTİN KAÇIRANLAR 2. Öğretim Grup:A

Assistants
Goals
To teach basic ideas of combinatorics
Content
Odd rules, permutation, combination, repeated permutation and combination, partitions, the minimax principle, the integer solutions of the equation x1+x2+.....+xn=k, recurrence relations, recurrence relations with constant coefficients, Fibonacci sequence, generating functions, the solutions of recurrence relations using generating functions.

Learning Outcomes
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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 Counting rules, permutations Source reading
3 Ordered and Unordered Partitions Source reading
4 The Principle of Inclusion and Exclusion Source reading
5 solutions of the equation n unknowns on set of positive integers Source reading
7 Solutions of equations of the reduction Source reading
8 Midterm exam Review the topics discussed in the lecture notes and sources