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## APPLIED MATHEMATICAL MODELLING

CODE 106779 2021/2022 5 credits during the 1st year of 8732 Electronic Engineering (LM-29) GENOVA ING-IND/31 GENOVA (Electronic Engineering) 1° Semester This unit is a module of: 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).
Optimization algorithms (gradient descent).
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)

EDOARDO RAGUSA

RICCARDO BERTA (President Substitute)

## LESSONS

### LESSONS START

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

### Class schedule

All class schedules are posted on the EasyAcademy portal.

## 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.

### ASSESSMENT METHODS

The exam aims at verifying that the student:

•    can communicate his/her thoughts properly, synthetically and with an adequate technical terminology;
•    demonstrates his/her knowledge and comprehension of the subject topics.

### Exam schedule

Date Time Location Type Notes
18/02/2022 09:00 GENOVA Esame su appuntamento
16/09/2022 09:00 GENOVA Esame su appuntamento