- Ελληνική Έκδοση
- Undergraduate Courses Outlines
- Outline Modification (available only for faculty members)
- Department of Mathematics
- Save as PDF or Print (to save as PDF, pick the corresponding option from the list of printers, located in the window which will popup)
School of Science
Department of Mathematics
|Level of Studies||
Introduction to Probability
|Independent Teaching Activities||
Lectures (Weekly Teaching Hours: 5, Credits: 7.5)
|Language of Instruction and Examinations||
|Is the Course Offered to Erasmus Students||
Yes (in English, reading Course)
|Course Website (URL)||See eCourse, the Learning Management System maintained by the University of Ioannina.|
The aim of this course is to provide with a comprehensive understanding of the basic definitions of probability and the basic principles and laws of probability theory. Further, the introduction to the concepts of the random variable and the distribution function, as well as, their characteristics, such as the mean, variance, moments, moment generating function, etc., is included in the main aims of the course. Special distributions, such as binomial, geometric, Pascal, Poisson, uniform, exponential, gamma, normal distribution, etc. are studied and their use and application is indicated. The course is compulsory, it is of an entry-level and it aims to develop skills that help the students to understand, design and exploit stochastic models to describe real problems. At the end of the course the students is expected to be able to:
Basic ideas and laws of probability: Sample space and events. Classical-Statistical and Axiomatic definition of probability. Properties of probability and probabilistic formulas and laws. Elements of combinatorial analysis. Random variables and distribution functions. Discrete and continuous random variables and distribution functions. Standard discrete and continuous distributions: Binomial, Geometric, Pescal, Poisson, Uniform, Exponential, gamma, Normal etc. Characteristics of random variables and probability distributions: Expectation, variance, moments, moment generating function, properties. Transformation of random variables.
Teaching and Learning Methods - Evaluation
|Use of Information and Communications Technology||
Use of ICT in communication with students
|Student Performance Evaluation||
Final written exam in Greek (in case of Erasmus students in English) which concentrates on the solution of problems which are motivated by the main themes of the course.
- Ι. Κοντογιάννης, Σ. Τουμπής. Στοιχεία πιθανοτήτων, [Προπτυχιακό εγχειρίδιο]. Κάλλιπος, Ανοικτές Ακαδημαϊκές Εκδόσεις. https://hdl.handle.net/11419/2810.
- J. Blitzstein, J. Hwang. Introduction to Probability, 2nd edition, CRC Press, 2019.
- R. Dobrow. Probability with Applications and R, Wiley, 2014.
- H. Tijms. Understanding Probability, 3rd edition, Cambridge University Press, 2012.
- H. Tijms. ProbabilityQ a lively introduction, Cambridge University Press, 2018.
- [Περιοδικό / Journal] Annals of Probability (IMS)
- [Περιοδικό / Journal] Electronic Journal of Probability (IMS)
- [Περιοδικό / Journal] Journal of Applied Probability (Cambridge University Press)