CODE 106779 2022/2023 5 cfu anno 1 INGEGNERIA ELETTRONICA 8732 (LM-29) - GENOVA ING-IND/31 GENOVA 1° Semester Questo insegnamento è un modulo di: AULAWEB

## AIMS AND CONTENT

### AIMS AND LEARNING OUTCOMES

At the end of the course, the student will know the numerical methods for approximation, differentiation, and integration of functions, the solution of ordinary differential equations systems, the singular values decomposition of matrices, the optimization. He/she will also know the variational methods and their application to modeling.

### TEACHING METHODS

Classroom or remote (through Teams) lectures (50 hours), including some MATLAB demonstrations.

### SYLLABUS/CONTENT

Normed spaces, orthonormal spaces, operators.
Function approximation on a normed space, best approximation.
Numerical differentiation.
Numerical integration.
Methods for the numerical solution of ordinary differential equations (ODE).
Compatible and non compatible linear systems.
Least squares method.
Singular value decomposition (SVD) with applications.
Condition of a linear system.
Linear and nonlinear classification techniques.
Functionals.
Variational calculus: differential of a functional, Euler-Lagrange equations.
Applications of the variational calculus for modelling.

Mauro Parodi: “Metodi matematici per l’ingegneria” Levrotto&Bella ed., Torino, 2013

## TEACHERS AND EXAM BOARD

### Exam Board

ALBERTO OLIVERI (President)

RICCARDO BERTA (President Substitute)

EDOARDO RAGUSA (President Substitute)

## LESSONS

### LESSONS START

https://corsi.unige.it/8732/p/studenti-orario

### Class schedule

The timetable for this course is available here: Portale EasyAcademy

## EXAMS

### EXAM DESCRIPTION

The exam is divided in two parts; each of them is referred to a half of the program. Each part consists in the explanation of one topic chosen by the student and one topic chosen by the teacher. The total score is 30.

Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a case-by-case basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.

### Exam schedule

Data appello Orario Luogo Degree type Note
17/02/2023 09:00 GENOVA Esame su appuntamento
17/02/2023 09:00 GENOVA Esame su appuntamento
15/09/2023 09:00 GENOVA Esame su appuntamento
15/09/2023 09:00 GENOVA Esame su appuntamento