## 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.

## Academic calendar

The academic calendar shows the deadlines and scheduled events that are relevant to students, teaching and technical-administrative staff of the University. Public holidays and University closures are also indicated. The academic year normally begins on 1 October each year and ends on 30 September of the following year.

## Course calendar

The Academic Calendar sets out the degree programme lecture and exam timetables, as well as the relevant university closure dates..

Period | From | To |
---|---|---|

I sem. | Oct 1, 2014 | Jan 30, 2015 |

II sem. | Mar 2, 2015 | Jun 12, 2015 |

Session | From | To |
---|---|---|

Sessione straordinaria appelli d'esame | Feb 2, 2015 | Feb 27, 2015 |

Sessione estiva appelli d'esame | Jun 15, 2015 | Jul 31, 2015 |

Sessione autunnale appelli d'esame | Sep 1, 2015 | Sep 30, 2015 |

Session | From | To |
---|---|---|

Sessione autunnale appello di laurea 2014 | Nov 27, 2014 | Nov 27, 2014 |

Sessione invernale appello di laurea 2015 | Mar 17, 2015 | Mar 17, 2015 |

Sessione estiva appello di laurea 2015 | Jul 21, 2015 | Jul 21, 2015 |

Sessione II autunnale appello di laurea 2015 | Oct 12, 2015 | Oct 12, 2015 |

Sessione autunnale appello di laurea 2015 | Nov 26, 2015 | Nov 26, 2015 |

Sessione invernale appello di laurea 2016 | Mar 15, 2016 | Mar 15, 2016 |

Period | From | To |
---|---|---|

Vacanze di Natale | Dec 22, 2014 | Jan 6, 2015 |

Vacanze di Pasqua | Apr 2, 2015 | Apr 7, 2015 |

Ricorrenza del Santo Patrono | May 21, 2015 | May 21, 2015 |

Vacanze estive | Aug 10, 2015 | Aug 16, 2015 |

## Exam calendar

Exam dates and rounds are managed by the relevant Science and Engineering Teaching and Student Services Unit.

To view all the exam sessions available, please use the Exam dashboard on ESSE3.

If you forgot your login details or have problems logging in, please contact the relevant IT HelpDesk, or check the login details recovery web page.

## Academic staff

Dos Santos Vitoria Jorge Nuno

jorge.vitoria@univr.itMagazzini Laura

laura.magazzini@univr.it 045 8028525Mazzuoccolo Giuseppe

giuseppe.mazzuoccolo@univr.it +39 0458027838Squassina Marco

marco.squassina@univr.it +39 045 802 7913## Study Plan

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 enrolment year.

Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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1° Year

Modules | Credits | TAF | SSD |
---|

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

Modules | Credits | TAF | SSD |
---|

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

Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
---|

#### 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.

### Geometry (2015/2016)

Teaching code

4S00247

Teacher

Coordinatore

Credits

6

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/03 - GEOMETRY

Period

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

## Learning outcomes

-General Topology.

-Differential geometry of curves.

-Differential geometry of surfaces.

## Program

-General Topology.

Topological space, definition. Examples: trivial topology, discrete topology, discrete topology, cofinite topology. Comparison of topologies. Basis. Neighbourhoods. Closure. Contnuos applications. Homeomorphisms. Limit points and isolated points. Dense set. Topological subspace, induced topology. Product spaces.

Separation axioms. Hausdorff spaces, Normal spaces, Regular spaces.

Countability axioms. Quotient space. Open and closed applications.

Relevant examples: sphere, projective space, Moebius strip...

Compactness. Heine-Borel Theorem. Tychonoff Theorem. Bolzano-Weierstrass Theorem.

Connectivity, local connectivity. Path connectivity. Examples and counterexamples. Simply connected, homotopy and fundamental group. Jordan curve Theorem.

-Differential geometry of curves.

Curves in the plane:

Examples. Regular points and singular points. Embedding and immersion. Vector fields along a curve. Tangent vector and line. Length of an arc. Parametrization by arc-length. Inflection points. Curvature and radius of curvature. Center of curvature. Frenet-Serret formula. Asymptotes. Contact points of curves. Osculator circle. Main facts about algebraic curves.

Curves in the space:

Tangent line. Normal plane. Inflection points. Osculator plane. Curvatures. Principal frame. Frenet-Serret formula. Torsion.

-Differential geometry of surfaces.

Definitions. Differentiable atlas. Oriented atlas, Tangent plane, Normal versor.

First fundamental quadratic form: metric and area. Tangential curvature and normal curvature of a curve on a surface. Curvatures, normal sections, Meusnier Theorem. Principal curvatures, Gaussian curvature and mean curvature: Theorem Egregium. Geodetics.

## Examination Methods

Written test (2 hours).

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

## Type D and Type F activities

**Modules not yet included**

## Career prospects

## Module/Programme news

##### News for students

There you will find information, resources and services useful during your time at the University (Student’s exam record, your study plan on ESSE3, Distance Learning courses, university email account, office forms, administrative procedures, etc.). You can log into MyUnivr with your GIA login details: only in this way will you be able to receive notification of all the notices from your teachers and your secretariat via email and soon also via the Univr app.

## Graduation

## Attachments

Title | Info File |
---|---|

1. Come scrivere una tesi | 31 KB, 29/07/21 |

2. How to write a thesis | 31 KB, 29/07/21 |

5. Regolamento tesi (valido da luglio 2022) | 171 KB, 17/02/22 |

## List of theses and work experience proposals

theses proposals | Research area |
---|---|

Formule di rappresentazione per gradienti generalizzati | Mathematics - Analysis |

Formule di rappresentazione per gradienti generalizzati | Mathematics - Mathematics |

Proposte Tesi A. Gnoatto | Various topics |

Mathematics Bachelor and Master thesis titles | Various topics |

THESIS_1: Sensors and Actuators for Applications in Micro-Robotics and Robotic Surgery | Various topics |

THESIS_2: Force Feedback and Haptics in the Da Vinci Robot: study, analysis, and future perspectives | Various topics |

THESIS_3: Cable-Driven Systems in the Da Vinci Robotic Tools: study, analysis and optimization | Various topics |

Stage | Research area |
---|---|

Internship proposals for students in mathematics | Various topics |

## Attendance

As stated in the Teaching Regulations for the A.Y. 2022/2023, except for specific practical or lab activities, attendance is not mandatory. Regarding these activities, please see the web page of each module for information on the number of hours that must be attended on-site.

Please refer to the Crisis Unit's latest updates for the mode of teaching.