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## MATHEMATICAL METHODS

CODE 106819 2021/2022 10 cfu during the 1st year of 10378 INTERNET AND MULTIMEDIA ENGINEERING(LM-27) - GENOVA MAT/09 GENOVA 1° Semester This unit is a module of: AULAWEB

## 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.

### 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

### Exam Board

MAURO GAGGERO (President)

MASSIMO PAOLUCCI (President)

MARCELLO SANGUINETI

## LESSONS

### LESSONS START

https://corsi.unige.it/10378/p/studenti-orario

### 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
20/12/2021 08:30 GENOVA Orale
14/01/2022 09:00 GENOVA Scritto
07/06/2022 08:30 GENOVA Orale
23/06/2022 08:30 GENOVA Orale
15/09/2022 14:15 GENOVA Orale