Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea in Matematica applicata - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
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2° Year activated in the A.Y. 2022/2023
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3° Year activated in the A.Y. 2023/2024
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Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Probability and Statistics - PROBABILITA' (2022/2023)
Teaching code
4S02843
Academic staff
Credits
6
Also offered in courses:
- Probability of the course Bachelor's degree in Applied Mathematics
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/06 - PROBABILITY AND STATISTICS
Period
Semester 2 dal Mar 6, 2023 al Jun 16, 2023.
Program
1. Discrete probability spaces. Elements of combinatorial calculus. Conditional probability and independence.
Applications: random permutations, percolation.
2. Discrete random variables and distributions. Independence of random variables. Expectation and inequalities. Notable classes of discrete random variables. Applications: the law of small numbers, the binomial model in finance, the coupon collector's problem.
3. Probability spaces and general random variables.
Absolutely continuous random variables. Notable classes of absolutely continuous random variables. Absolutely continuous random vectors. The Poisson process. Normal laws.
4. The law of large numbers. The central limit theorem and the normal approximation.
5. Elements of stochastic simulation.
Bibliography
Didactic methods
All the topics will be illustrated in class. Additional material, as exercises, lecture notes and further references, will be available on Moodle page of the course.
The rights of students will be preserved in situations of travel limitation or confinement due to national provisions to combat COVID or in particular situations of fragile health. In these cases, you are invited to contact the teacher directly to organize the most appropriate remedial strategies.
Learning assessment procedures
The exam consists of a 180-minute written test. It includes exercises and theoretical questions, with at least one proof of those marked in the course program required.
Evaluation criteria
To pass the exam, the student must demonstrate:
-- to have understood the theoretical notions, showing detailed knowledge of definitions and statements, as well as of some proofs;
-- to be able to apply theory to problem-solving.
Exam language
Italiano