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. 2014/2015

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

3° Year  activated in the A.Y. 2015/2016

ModulesCreditsTAFSSD
Uno o due insegnamenti tra i seguenti per un totale di 12 cfu
6
C
SECS-P/05
Prova finale
6
E
-
activated in the A.Y. 2014/2015
ModulesCreditsTAFSSD
6
A
MAT/02
Uno tra i seguenti insegnamenti
6
C
SECS-P/01
6
C
FIS/01
6
B
MAT/03
Uno tra i seguenti insegnamenti
6
C
SECS-P/01
6
B
MAT/06
activated in the A.Y. 2015/2016
ModulesCreditsTAFSSD
Uno o due insegnamenti tra i seguenti per un totale di 12 cfu
6
C
SECS-P/05
Prova finale
6
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°- 3°
Between the years: 1°- 2°- 3°
Ulteriori conoscenze
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

4S00247

Credits

6

Language

Italian

Scientific Disciplinary Sector (SSD)

MAT/03 - GEOMETRY

Period

II sem. dal Mar 2, 2015 al Jun 12, 2015.

Learning outcomes

Introduction to general topology. Classical theory of curves and surfaces.

Program

Introduction to topology. Topological spaces, basic topological notions : isolated and accumulation points, closure, product and quotient topology, compactness, connectedness, separability and Hausdorff spaces. Continuous functions, homeomorphisms, Weierstrass' Theorem, Tychonoff Theorem, continuity vs compactness, connectedness and separability.

Classical theory of parametric curves, regular parametrization, arc length, tangent vector, curvature and normal . Osculating and normal plane, Binormal and torsion, Frénet-Serret equations.

Classical theory of parametrized surfaces in 3d euclidean. Space. Regular parametrizations, local coordinates, coordinate charts, atlas, tangent plane, normal vector, surface area, first fundamental form, local and global isometries, conformal maps, developable surfaces.
Gauss map, Weingarten map (shape operator), second fundamental form, principal curvatures, Meusnier's theorem, mean curvature, gauss curvature.
Covariant derivative, Christoffel symbols, Levi-Civita connection, Gauss' Theorema Egregium.

Examination Methods

written and 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