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.

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 2025/2026

The 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.

2° Year  activated in the A.Y. 2015/2016

ModulesCreditsTAFSSD
6
A
MAT/02
6
B
MAT/03
6
B
MAT/06
Uno tra i seguenti insegnamenti
6
C
SECS-P/01
6
C
FIS/01
Uno tra i seguenti insegnamenti
6
C
SECS-P/01

3° Year  activated in the A.Y. 2016/2017

ModulesCreditsTAFSSD
6
C
SECS-P/05
Uno o due insegnamenti tra i seguenti per un totale di 12 cfu
Prova finale
6
E
-
activated in the A.Y. 2015/2016
ModulesCreditsTAFSSD
6
A
MAT/02
6
B
MAT/03
6
B
MAT/06
Uno tra i seguenti insegnamenti
6
C
SECS-P/01
6
C
FIS/01
Uno tra i seguenti insegnamenti
6
C
SECS-P/01
activated in the A.Y. 2016/2017
ModulesCreditsTAFSSD
6
C
SECS-P/05
Uno o due insegnamenti tra i seguenti per un totale di 12 cfu
Prova finale
6
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°- 3°
Between the years: 1°- 2°- 3°
Altre attività formative
6
F
-

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.




S Placements in companies, public or private institutions and professional associations

Teaching code

4S02754

Credits

6

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/05 - MATHEMATICAL ANALYSIS

Period

II semestre dal Mar 1, 2016 al Jun 10, 2016.

Learning outcomes

The aim of the course is to deal with the qualitative analysis of
autonomous ordinary differential equations and to introduce to the
theory of continuous dynamical systems. The student should reach the
knowledge of the theory with reasonable depth, and also some working
ability of the examples.

Program

Flows. Orbits and invariant sets. First integrals. Vector fields with the same orbits. The conservative simple pendulum. The fish. Predator-prey. Bounded vector fields. Solutions in compact sets. Alfa and omega-limit sets.
Changes of variables. Local rectification theorem. Linear vector fields.
Invariance principle. Lyapunov stability theorem. Asymptotic stability
and instability from the linearization. Stability for the conservative and dissipative pendulum. Flows on the circle. Flows on the cylinder. Polar coordinates. Limit cycles.

Examination Methods

Oral examination.

Students with disabilities or specific learning disorders (SLD), who intend to request the adaptation of the exam, must follow the instructions given HERE

Teaching materials e documents