# APPLIED MATHEMATICS

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iten
Code
56090
2020/2021
CREDITS
6 credits during the 1st year of 9274 Product and nautical design (L-4) GENOVA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/05
LANGUAGE
Italian
TEACHING LOCATION
GENOVA (Product and nautical design)
semester
1° Semester
sectioning
This unit is divided into 2 sections: A, B. This page refers to the section
Prerequisites
Teaching materials

OVERVIEW

The course aims at providing a basic education in mathematics, complemented with the use of a computer for visualizatoin of functions and three-dimensional shapes.

## AIMS AND CONTENT

LEARNING OUTCOMES

The course provides an overview of basic topics including number sets, functions, function approximation through polynomials, differential calculus in one variable, integrals, and the use of the spreadsheet for the study of functions and their graphic plot.

AIMS AND LEARNING OUTCOMES

The main objective of the course is to help the student to develop a scientific mind, with which to approach the technical subjects. Furthermore, the course shows how mathematics, however rigorous, can be both a creative tool, and a tool at the service of creativity. To this aim, the course is rather application-oriented, and every topic presented in the class is subsequently discussed and analyzed with the computer.

Teaching methods

The course features both taught-classes and exercises

SYLLABUS/CONTENT

The course provide basic notions of analysis, geometry and numerics. Specifically, the following topics will be presented:

• Numbers, number sets, and binary representations.
• Functions, domain, continuity, maxima and minima.
• Linearization, derivation, and its application in the search for minima/maxima.
• Polynomial approximation; Taylor.
• Theory of integration: historical overview, computation of the area underlying a graph.
• Theory of integration: primitives. The fundamental theorem of integral calculus and the "exact" computation of integrals. Methods for approximate computation of integrals.
• Functions of two variables, graphical representation and differential calculus.
• Curves on the plane and in space, and their representations.
• Transformations of the plane; elements of matrix calculus.

## TEACHERS AND EXAM BOARD

Ricevimento: Friday 14-16

Ricevimento: By appointment wich can be fixed in person or via email : villa@dima.unige.it

Exam Board

ERNESTO DE VITO (President)

SILVIA VILLA

NICOLO' PAGLIANA

SAVERIO GIULINI

LAURA CAPELLI

## LESSONS

Teaching methods

The course features both taught-classes and exercises

LESSONS START

Lessons start on September 21st (1st term) and Februay 23rd (2nd term).

ORARI

L'orario di tutti gli insegnamenti è consultabile su EasyAcademy.

## EXAMS

Exam description

The evaluation is splitted in several parts.

First, the weekly lab classes are evaluated.

Then, the main exam consists of the same kind of exercises that have been discussed during the lab classes, containing both traditional computation "on paper" and use of the spreadsheet.

Finally, the student may choose to prepare an optional Power Point presentation, on an topic agreed during the year.

Assessment methods

Registration through the UNIGE web portal.

Exam schedule

Date Time Location Type Notes
12/07/2021 09:00 GENOVA Scritto
20/07/2021 09:00 GENOVA Orale
13/09/2021 09:00 GENOVA Scritto