# MATHEMATICAL METHODS

iten
Code
86829
2020/2021
CREDITS
5 credits during the 1st year of 10378 INTERNET AND MULTIMEDIA ENGINEERING (LM-27) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/07
LANGUAGE
English
TEACHING LOCATION
GENOVA (INTERNET AND MULTIMEDIA ENGINEERING)
semester
1° Semester
modules
This unit is a module of:
Teaching materials

## OVERVIEW

The course deals with mathematical methods allowing to formalize and solve problems coming from the real world. For instance, the course will investigate how to model physical phenomena such as heat diffusion or wave propagation, as well as how to control in an optimal way a given process.

## AIMS AND CONTENT

AIMS AND LEARNING OUTCOMES

The course focuses on three different topics: dynamic optimization, nonlinear programming, and partial differential equations.

In more detail, students will learn how to formalize and solve dynamic optimization problem via dynamic programming. Then, they will analyze the formalization and solution of static decision problem using nonlinear programming. Lastly, they will investigate the use of mathematical methods to describe real-world phenomena, such as heat diffusion and wave propagation, and the main analytical solution methods.

For all arguments, the focus will be on both methodological concepts and application examples. The various concepts are explained via traditional lessons.

TEACHING METHODS

SYLLABUS/CONTENT

- Dynamic programming for the solution of dynamic optimization problems.

- Basic notions of nonlinear programming.

- Analytical solution of linear partial differential equations describing real-world phenomena.

Handouts in electronic format provided by the lecturer.

[1] D.P. Bertsekas, “Dynamic Programming and Optimal Control”, Athena Scientific, 2005.

[2] F.S. Hillier, G.J. Lieberman, “Introduction to Operations Research”, McGraw-Hill, 2001.

[3] R. Courant, D. Hilbert, “Methods of Mathematical Physics”, Interscience Publishers, 1973.

[4] R. Bracewell, “The Fourier Transform and its Applications”, McGraw Hill, 1999.

[5] P.V. O’Neil, “Advanced Engineering Mathematics”, Brooks Cole, 2003.

## TEACHERS AND EXAM BOARD

Office hours: Students may take appointment via email sent to mauro.gaggero@cnr.it

Exam Board

MAURO GAGGERO (President)

MASSIMO PAOLUCCI (President)

MARCELLO SANGUINETI

## LESSONS

TEACHING METHODS

LESSONS START

As reported in the official calendar.

Class schedule

All class schedules are posted on the EasyAcademy portal.

## EXAMS

EXAM DESCRIPTION

The exam consists of an oral interview to ensure learning of the course content.

ASSESSMENT METHODS

Learning will be assessed by a number of oral questions regarding the various topics addressed in the course.

Exam schedule

Date Time Location Type Notes
21/12/2020 08:30 GENOVA Orale
08/01/2021 09:00 GENOVA Esame su appuntamento
15/01/2021 09:00 GENOVA Scritto
05/02/2021 09:00 GENOVA Esame su appuntamento
08/06/2021 08:30 GENOVA Orale
11/06/2021 09:00 GENOVA Esame su appuntamento
02/07/2021 09:00 GENOVA Esame su appuntamento
07/07/2021 08:30 GENOVA Orale
06/09/2021 09:00 GENOVA Esame su appuntamento
16/09/2021 14:15 GENOVA Orale

FURTHER INFORMATION

None.