Course Information

Course Name	Turkish	Olasılık Teorisi
	English	Probability Theory
Course Code	MAT 221	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	3	3	-	-	-
Course Language		Turkish
Course Coordinator		Bahri Güldoğan
Course Objectives		To provide the basic concepts of probability. To set up probability models for a range of random phenomena, both discrete and continuous. To develop critical thinking skills, and the abilities to apply techniques of calculus (i.e., derivatives, integration, infinite series) to assess the probability of an event.
Course Description		Sample Space, Probability Measure on a Sigma-Algebra. Kolmogorov Axioms, Conditional Probability. Combinatorial Methods, Bayes Theorem. Random Variables. Discrete Density Functions, Continuous Density Functions. Functions of Random Variables. Bivariate Joint Density Functions, Marginal and Conditional Density Functions, Independent Random Variables. Definition and Properties of Expectations. Special Expectations. Chebyshev Inequality. Moment Generating Function. Discrete and Continuous Distributions. Limit Theorems, Law of Large Numbers, Central Limit Theorem, Slutsky Theorem. Markov Chains.
Course Outcomes		Students completing this course will be able to: Understand and apply basic concepts of probability, Set up probability models for a range of random phenomena, both discrete and continuous, Use probability distribution and probability densities, Evaluate Mathematical Expectation, Use special probability distribution and probability densities, Use limit theorems, Use Markov chains.
Pre-requisite(s)		None
Required Facilities
Other
Textbook		Salih Çelebioğlu ve Reşat Kasap (Sheldon M. Ross dan Çeviri) (2015) Olasılık ve İstatistiğe Giriş. Nobel Akademik Yayıncılık.
Other References		FikriAkdeniz (2017). Olasılık ve İstatistik. 21 Baskı. Akademisyen. Durrett, Rick. (2010) Probability: Theory and Examples. 4th ed. Cambridge University Press, ISBN: 9780521765398. R.V. Hogg and A.T. Craig (1978 ). Introduction to Mathematical Statistics. New York: Macmillan. Hogg & Tanis . (2010). Probality and Statistical Inference, 8th Ed.

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