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 magistrale in Mathematics - 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
| Modules | Credits | TAF | SSD |
|---|
| Modules | Credits | TAF | SSD |
|---|
| Modules | Credits | TAF | SSD |
|---|
1 module among the following 1 module between the following (a.a. 2023/24 Homological Algebra not activated - a.a. 2024/25 Computational Algebra not activated)3 modules among the followingLegend | 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.
Numerical modelling and optimization - MODELLING SEMINAR (2023/2024)
Teaching code
4S008275
Teacher
Credits
3
Language
English
Scientific Disciplinary Sector (SSD)
MAT/07 - MATHEMATICAL PHYSICS
Period
Semester 2 dal Mar 4, 2024 al Jun 14, 2024.
Courses Single
Authorized
To show the organization of the course that includes this module, follow this link: Course organization
Program
1. Review of Dynamical systems: vector fields, flows, equilibria and their tability, periodic orbits, phase portrait and first integrals. Estimation on orbit separation. Translation of the circle. Numerical integrations and phase portraits in dimensions 2.
2. Biforcation and limit cycles: bifurcations in dimensions 2, limit cycles, Poincare`-Bendixon Theorem. Numerical aspects and applications.
3. Nonautonomous vector fields: extended phase space, flow box and Poincare' maps, quotient phase space. Discrete maps. Numerical integrations and applications.
4. Basic aspects on strange attractors and chaotic systems.
5. Applications in physics, engineering, and life sciences.
Bibliography
Didactic methods
In-room lectures, team working, homeworks and weekly summary in teams
Learning assessment procedures
Lo studente dovrà essere in grado di formalizzare e risolvere modelli matematici utilizzati in diverse discipline scientifiche, adoperando, adattando e sviluppando i metodi avanzati visti durante l’insegnamento. A tal fine la valutazione finale consiste in una prova scritta e una orale.
Prova scritta: Una domanda/esercizio per ciascuna parte del corso (Parte I e Parte II), il cui svolgimento può richiedere l’utilizzo del calcolatore.
Prova orale: Argomento a scelta e discussione dello scritto con domande.
L'argomento a scelta può essere sostituito dallo sviluppo di un mini-progetto da concordare con il docente.
Evaluation criteria
Students must show that:
- they know and understand the fundamental concepts and techniques of differential geometry
- they have analytical, abstraction and computational abilities
- they support their argumentation with mathematical rigor.
The written test contains both exercises and theoretical questions.
Exam language
English
