- Docente: Andrea Pascucci
- Credits: 7
- SSD: MAT/06
- Language: Italian
- Teaching Mode: Traditional lectures
- Campus: Bologna
- Corso: First cycle degree programme (L) in Mathematics (cod. 8010)
Learning outcomes
At the end of the course the student will know the basics of Probability theory and Statistics. He will be able to make simple models to describe problems under uncertainty conditions.
Course contents
Part 1. Probability spaces. Independence and conditional probability.
Part 2. Random variables and integration. Expectation and independence.
Part 3. Sequences of random variables. Law of large numbers. Characteristic function. Central limit theorem.
Part 4. Conditional distribution and expectation.
Part 5. Basics of statistics and inference.
Detailed programme available at
https://docs.google.com/document/d/1DffJ8fgrKfsaLvMX3a3TxL6BZzDWn3sjYl9hSmqOXR8/edit?usp=sharing
Readings/Bibliography
See
https://docs.google.com/document/d/1DffJ8fgrKfsaLvMX3a3TxL6BZzDWn3sjYl9hSmqOXR8/edit?usp=sharing
Teaching methods
Classroom lectures
Assessment methods
At the end of the course each student will take a written and oral exam in which they will answer questions about the subjects covered in the program.
Teaching tools
Theoretical and computer exercises.
Links to further information
https://docs.google.com/document/d/1DffJ8fgrKfsaLvMX3a3TxL6BZzDWn3sjYl9hSmqOXR8/edit?usp=sharing
Office hours
See the website of Andrea Pascucci