Introduction to Probability (MAY331)
General
School |
School of Science |
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Academic Unit |
Department of Mathematics |
Level of Studies |
Undergraduate |
Course Code |
ΜΑΥ331 |
Semester | 3 |
Course Title |
Introduction to Probability |
Independent Teaching Activities |
Lectures (Weekly Teaching Hours: 5, Credits: 7.5) |
Course Type |
General Background |
Prerequisite Courses | - |
Language of Instruction and Examinations |
Greek |
Is the Course Offered to Erasmus Students |
Yes (in English, reading Course) |
Course Website (URL) |
Learning Outcomes
Learning outcomes |
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:
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General Competences |
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Syllabus
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
Delivery |
Classroom (face-to-face) | ||||||||||
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Use of Information and Communications Technology |
Use of ICT in communication with students | ||||||||||
Teaching Methods |
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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. |
Attached Bibliography
Books in English
- Ross, S. (1998). A First Course in Probability. 5th Edition. Prentice Hall, Inc.
- Roussas, G. (2007). Introduction to Probability. Academic Press.
Books in Greek
- Ζωγράφος, Κ. (2008). Πιθανότητες, Πανεπιστήμιο Ιωαννίνων.
- Hoel, P., Port, S. and Stone, C. (2001). Εισαγωγή στη Θεωρία Πιθανοτήτων. Πανεπιστημιακές Εκδόσεις Κρήτης.
- Κουνιά, Σ. και Μωϋσιάδη, Χ. (1995). Θεωρία Πιθανοτήτων Ι. Εκδόσεις Ζήτη, Θεσσαλονίκη.
- Κούτρας, Μ. (2012). Εισαγωγή στη Θεωρία Πιθανοτήτων και Εφαρμογές. Εκδόσεις Α. Σταμούλης. Αθήνα.
- Παπαϊωάννου, Τ. (2000). Εισαγωγή στις Πιθανότητες. Εκδόσεις Α. Σταμούλης. Αθήνα.
- Χαραλαμπίδη, Χ. (1990). Θεωρία Πιθανοτήτων και Εφαρμογές. Τεύχος 1. Εκδόσεις Συμμετρία. Αθήνα.