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 magistrale in Mathematics - 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.

CURRICULUM TIPO:

2° Year   activated in the A.Y. 2018/2019

ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
activated in the A.Y. 2018/2019
ModulesCreditsTAFSSD
6
B
MAT/05
Final exam
32
E
-
Modules Credits TAF SSD
Between the years: 1°- 2°
To be chosen between
Between the years: 1°- 2°
Between the years: 1°- 2°
Other activitites
4
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

4S001108

Credits

6

Language

English en

Scientific Disciplinary Sector (SSD)

MAT/08 - NUMERICAL ANALYSIS

Period

I sem. dal Oct 2, 2017 al Jan 31, 2018.

Learning outcomes

The course will discuss the theory and practice of approximation of functions and data, in both the univariate and multivariate setting, with an emphasis on splines of various types and interpolation. A part of the course will be held in a Laboratory setting where some of the techniques presented during the lectures will be implemented in Matlab. At the end of the course the student is expected to able to demonstrate an in-depth knowledge of the techniques of univariate and multivariate approximation.

Program

Programme:

Hermite-Genocchi formula
Peano Kernel formula
Univariate splines of degrees 0, 1 and 3.
Haar Wavelets
Cubic Smoothing splines
Subdivision of spline curves and surfaces
General Univariate Spline spaces
Thin Plate Splines in 2 dimensions
RBF interpolation and positive definite functions
The Theorems of Bochner, Schoenberg and Micchelli

Reference texts
Author Title Publishing house Year ISBN Notes
C. de Boor A Practical Guide to Splines (Edizione 1) Springer 1978
L. Bos Course Notes 2017 Available online

Examination Methods

The purpose of the exam is to see if the student is able to recall and reproduce the theory and practice of interpolation and approximation, both univariate and multivariate. The exam will be oral.

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