|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 Coordinator||Prof.Dr. Sadullah SAKALLIOĞLU|
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.
Random experiment, sample space, event, probability function, probability calculations, conditional probability, random variables, functions of random variables, discrete random variables and their distributions.
|Course's Contribution To Program|
|No||Program Learning Outcomes||Contribution|
Is able to prove Mathematical facts encountered in secondary school.
Recognizes the importance of basic notions in Algebra, Analysis and Topology
Develops maturity of mathematical reasoning and writes and develops mathematical proofs.
Is able to express basic theories of mathematics properly and correctly both written and verbally
Recognizes the relationship between different areas of Mathematics and ties between Mathematics and other disciplines.
Expresses clearly the relationship between objects while constructing a model
Draws mathematical models such as formulas, graphs and tables and explains them
Is able to mathematically reorganize, analyze and model problems encountered.
Knows at least one computer programming language
Uses effective scientific methods and appropriate technologies to solve problems
Has sufficient knowledge of foreign language to be able to understand Mathematical concepts and communicate with other mathematicians
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
Knows programming techniques and is able to write a computer program
Is able to do mathematics both individually and in a group.
|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|