CODE | 106779 |
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ACADEMIC YEAR | 2021/2022 |
CREDITS | 5 credits during the 1st year of 8732 Electronic Engineering (LM-29) GENOVA |
SCIENTIFIC DISCIPLINARY SECTOR | ING-IND/31 |
TEACHING LOCATION | GENOVA (Electronic Engineering) |
SEMESTER | 1° Semester |
MODULES | This unit is a module of: |
TEACHING MATERIALS | AULAWEB |
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.
Classroom or remote (through Teams) lectures (50 hours), including some MATLAB demonstrations.
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
Office hours: by appointment
ALBERTO OLIVERI (President)
EDOARDO RAGUSA
RICCARDO BERTA (President Substitute)
All class schedules are posted on the EasyAcademy portal.
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.
The exam aims at verifying that the student:
Date | Time | Location | Type | Notes |
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18/02/2022 | 09:00 | GENOVA | Esame su appuntamento | |
16/09/2022 | 09:00 | GENOVA | Esame su appuntamento |