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

A.A. 2024/2025 A.A. 2023/2024 A.A. 2022/2023 A.A. 2021/2022 A.A. 2020/2021 A.A. 2019/2020 A.A. 2018/2019 A.A. 2017/2018 A.A. 2016/2017 A.A. 2015/2016 A.A. 2014/2015 A.A. 2013/2014 A.A. 2012/2013 A.A. 2011/2012 A.A. 2010/2011 A.A. 2009/2010

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.

The Study plan 2008/2009 will be available by May 2nd. While waiting for it to be published, consult the Study plan for the current academic year at the following link.

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.

A Basic activities
B Characterizing activities
C Related or complementary activities
D Activities to be chosen by the student
E Final examination
F Other training activities
S Placements in companies, public or private institutions and professional associations

Geometry  (2009/2010)

Teaching code

4S00247

Teacher

Mauro Spera

Coordinator

Mauro Spera

Credits

6

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/03 - GEOMETRY

Period

2nd Semester dal Mar 1, 2010 al Jun 15, 2010.

Location

VERONA

Seminars 0

Learning outcomes

Learning objectives

The course introduces and elaborates the fundamental ideas of general topology and of the differential geometry of curve and surfaces, in a rigorous yet concrete and
example-based manner, so as to further develop the students' geometric intuition,
abstraction and analytical computing ability, also in view of applications to parallel and successive courses.

Program

*Programme
Topological spaces, continuous functions, omeomorphisms.
Compactness. Connectedness.
Plane and spatial curves: curvature, torsion, Fre'net's formulae. Fundamental theorem.
Regular parametric surfaces. First and second fundamental form.
Gaussian and mean curvature.
Gauss' Theorema Egregium. Covariant derivative, parallel transport.
Geodesics. The Gauss-Bonnet theorem.
Examples: quadrics, surfaces of revolution, ruled and minimal surfaces.
Projective, affine and metric classification of quadrics.

Examination Methods

Assessment

Written test, followed by an oral exam.

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