Introduction to signals and systems
Introduction to signals and systems
Exploring the Fundamentals of Probability Theory
Course description
This short course is designed to provide the student with some basic knowledge of probability theory and of the main functions commonly used to describe random phenomena.
The traditional axiomatic approach has been avoided in favor of an experimental approach.
In the five lessons that make up the short course, the definition of probability is introduced through the concept of relative frequency.
Random variables and the main functions that characterize them are then introduced.
The course then moves on to the analysis of the relationship between two random variables and concludes with the description of a MATLAB code for the analysis of random variables.
Total workload of the course: 12 hours
This MOOC is provided by Politecnico di Milano.
This MOOC was produced as part of the Edvance project – Digital Education Hub per la Cultura Digitale Avanzata. The project is funded by the European Union – Next Generation EU, Component 1, Investment 3.4 “Didattica e competenze universitarie avanzate".






Intended Learning Outcomes
By actively participating in this MOOC, you will achieve different intended learning outcomes (ILOs).
- Describe the definitions and main rules of probability calculus
ESCO: probability theory - Use probability calculus techniques in cases that require the use of mathematical formalisms
ESCO: probability theory - Explain the operation of prediction techniques for estimating random variables
ESCO: probability theory - Describe the extension of the formalisms of the calculus of probability to random processes
ESCO: probability theory
Prerequisites
No prerequisite knowledge is required for this course.
Activities
Over and above consulting the content, in the form of videos and other web-based resources, you will have the opportunity to discuss course topics and to share ideas with your peers in the Forum of this MOOC. The forum of this MOOC is freely accessible and participation is not guided; you can use it to compare yourself with other participants, or to discuss course contents with them.
Topic outline
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Bibliography & Linkography Page
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Video transcripts Folder
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Assessment
Your final grade for the course will be based on the results of your answers to the graded quizzes. You have an unlimited number of attempts at each quiz, but you must wait 15 minutes before you can try again. You will have successfully completed the course if you achieve 60% (or more) of the total score in each quiz. The maximum score possible for each quiz is given at the beginning of the quiz. You can view your score in the quiz on your last attempt or on the 'Grades' page.
Certificate
You can achieve a certificate in the form of an Open Badge for this course, if you reach at least 60% of the total score in each one of the assessed quizzes and fill in the final survey.
Once you have completed the required tasks, you will be able to access ‘Get the Open Badge’ and start issuing the badge. Instructions on how to access the badge will be sent to your e-mail address.
The Badge does not confer any academic credit, grade or degree.
Information about fees and access to materials
You can access the course completely online and absolutely free of charge
Course faculty

Claudio Prati
Politecnico di Milano - Full Professor
Claudio Prati, born in 1958, received his Ph.D. in Electronic Engineering from the Politecnico di Milano in 1987. He joined the DEIB in 1991 as an Associate Professor of Signals and Systems. He is Full Professor of Telecommunications since 2000. His main research interests are focused on the area of SAR (Synthetic Aperture Radar) digital signal processing. He is co-founder of the company TELERILEVAMENTO EUROPA.
Contact details
If you have any enquiries about the course or if you need technical assistance please contact pok@polimi.it. For further information, see FAQ page.