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. 2015/2016
Modules | Credits | TAF | SSD |
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3° Year activated in the A.Y. 2016/2017
Modules | Credits | TAF | SSD |
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Uno o due insegnamenti tra i seguenti per un totale di 12 cfu
Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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Uno o due insegnamenti tra i seguenti per un totale di 12 cfu
Modules | Credits | TAF | SSD |
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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.
Dynamical Systems I (2015/2016)
Teaching code
4S02754
Teacher
Coordinator
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.
Teaching materials e documents
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Appunti delle lezioni (pdf, it, 27 KB, 2/22/16)