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PROBABILITY AND STATISTICS COURSE IDENTIFICATION AND APPLICATION INFORMATION

Code Name of the Course Unit Semester In-Class Hours (T+P) Credit ECTS Credit
MAT207 PROBABILITY AND STATISTICS 3 3 3 5

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week Preparatory Topics(Subjects) Method
1 - Introduction and definitions (Set Theory, Experiment, Sample Space, Events) -
2 - Mathematical model of probability, Joint and conditional probability, Bayes theorem -
3 - Independent events and Bernoulli trials -
4 - The random variable concept -
5 - Probability distribution and density functions, Conditional distributions and densities -
6 - Expected values, moments and characteristic functions -
7 - Transformations of a single random variable -
8 - MID-TERM EXAM -
9 - Multiple random variables, joint distribution and density functions -
10 - Limit theorems, Operations on multiple random variables -
11 - Random processes and their properties -
12 - Independence and stationarity of random processes -
13 - Time averages, statistical averages and ergodicity, Autocorrelation and cross-correlation functions -
14 - Gauss and Poisson processes -
15 - Preparation for Final exam -
16 - FINAL EXAM -
17 - FINAL EXAM -