COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Probability * MT   261 3 4 4 7

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof.Dr. Sadullah SAKALLIOĞLU
Instructors
Prof.Dr.SADULLAH SAKALLIOĞLU1. Öğretim Grup:A
Prof.Dr.SADULLAH SAKALLIOĞLU2. Öğretim Grup:A
 
Assistants
Goals
This course aims to give the basic concepts such as permutation, combination, probability theory, random variables and their distributions. This course forms the basis for introduction to statistics.
Content
Random experiment, sample space, event, probability function, probability calculations, conditional probability, random variables, functions of random variables, discrete random variables and their distributions.

Learning Outcomes
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Is able to prove Mathematical facts encountered in secondary school.
X
2
Recognizes the importance of basic notions in Algebra, Analysis and Topology
X
3
Develops maturity of mathematical reasoning and writes and develops mathematical proofs.
X
4
Is able to express basic theories of mathematics properly and correctly both written and verbally
X
5
Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.
X
6
Expresses clearly the relationship between objects while constructing a model
X
7
Draws mathematical models such as formulas, graphs and tables and explains them
X
8
Is able to mathematically reorganize, analyze and model problems encountered.
X
9
Knows at least one computer programming language
X
10
Uses effective scientific methods and appropriate technologies to solve problems
11
Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians
12
In addition to professional skills, the student improves his/her skills in other areas of his/her choice such as in scientific, cultural, artistic and social fields
13
Knows programming techniques and is able to write a computer program
14
Is able to do mathematics both individually and in a group.
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 The concept of sample space, sample point, event, counting rules for sample points Required reading
2 Permutations, circular permutations, combinations, Pascals triangle, repeated combinations Required reading
3 Ordered and unordered partitions, Binomial Theorem Required reading
4 The probability of an event, the probability axioms, some of the probability rules Required reading
5 Geometric probablity, Conditonal probability Required reading
6 Independent events, Bayes theorem Required reading
7 Random variables, probabilty distribution of discrete random variables Required reading
8 Mid-Term Exam Review of topics discussed in the lecture notes and sources
9 Probabilty distribution of continuous random variables Required reading
10 The expected value of a random variable, the variance and their properties, Required reading
11 Moments, skewness and kurtosis, Required reading
12 Chebyshew inequality, Problem solving Required reading
13 Bernoulli distribution, binomial distribution, a multinomial distribution, Geometric distribution Required reading
14 Negative binomial distribution, Hypergeometric distribution, Uniform distribution, Required reading
15 Solving Problem Review of topics discussed in the lecture notes and sources
16-17 Term Exams Written exam

Recommended or Required Reading
Textbook
Additional Resources