CODE  106779 

ACADEMIC YEAR  2022/2023 
CREDITS 

SCIENTIFIC DISCIPLINARY SECTOR  INGIND/31 
TEACHING LOCATION 

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).
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, EulerLagrange equations.
Applications of the variational calculus for modelling.
Mauro Parodi: “Metodi matematici per l’ingegneria” Levrotto&Bella ed., Torino, 2013
Office hours: by appointment
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.
Students with learning disorders ("disturbi specifici di apprendimento", DSA) will be allowed to use specific modalities and supports that will be determined on a casebycase basis in agreement with the delegate of the Engineering courses in the Committee for the Inclusion of Students with Disabilities.
Date  Time  Location  Type  Notes 
