# MATHEMATICAL METHODS

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iten
Code
86829
2019/2020
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

Teaching methods

SYLLABUS/CONTENT

After the first part of the course the students will be able to use mathematical methods to describe real-world phenomena, such as heat diffusion and wave propagation. More specifically, they will be able to classify and manage the main analytical solution methods for linear partial differential equations. In the second part, the students will learn to manage multistage optimal control problems by means of dynamic programming. Lastly, basic notions of nonlinear programming tools will be investigated to better understand their use in the first two parts of the course.

[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

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

Exam Board

MASSIMO PAOLUCCI (President)

MAURO GAGGERO (President)

Teaching methods

LESSONS START

19/9/2016

## EXAMS

Exam description

The examination mode consists of an oral test to ensure learning of the course content.

Assessment methods

The oral exam focuses on the learning of one or two subjects from those discussed in class.

Exam schedule

Date Time Location Type Notes
12/06/2020 09:00 GENOVA Esame su appuntamento
23/06/2020 09:00 GENOVA Orale
02/07/2020 09:00 GENOVA Esame su appuntamento
08/07/2020 09:00 GENOVA Orale
22/07/2020 09:00 GENOVA Orale
07/09/2020 09:00 GENOVA Esame su appuntamento
09/09/2020 09:00 GENOVA Orale