# MATHEMATICAL ANALYSIS 2

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iten
Code
60503
2020/2021
CREDITS
6 credits during the 2nd year of 8721 Pleasure Craft Engineering (L-9) LA SPEZIA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/05
LANGUAGE
Italian
TEACHING LOCATION
LA SPEZIA (Pleasure Craft Engineering)
semester
1° Semester
Prerequisites
modules
This unit is a module of:
Teaching materials

OVERVIEW

The course is directed to second year students which are familiar with basic notions in Calculus and Analytical Geometry.

## AIMS AND CONTENT

LEARNING OUTCOMES

Provide basic concepts and more specific mathematical tools to better understand the contents of some nautical engineering courses .

AIMS AND LEARNING OUTCOMES

The course provides basic notions about Functions of two variables, integration of continuous functions and ODE’s in view of applications in Physics and Nautic Engineering.

PREREQUISITES

Basic notions in Calculus and Analytical Geometry.

Teaching methods

60 hours of distance lectures until the end of sanitary emergency. Subsequently frontal lectures in a classroom

SYLLABUS/CONTENT

1) Functions of two variables. Limits and Continuity. Partial Derivatives. Higher order derivatives. Schwartz Theorem. The Chain rule. Differentiability and Differentials. Gradient and directional derivatives. Taylor’s formula .Implicit functions. Extreme values.

2) Double integrals. Iteration of double integrals.Change of variables in double integrals. The surface area of a graph. Moments and centers of mass. Moments of inertia.

3) Vector fields.Conservative fields. Line integrals of vector fields. Gauss-Green Formula

R.A. Adams, Calcolo Differenziale 1 e Calcolo Differenziale 2 Casa

Editrice Ambrosiana.

Notes & Exercises in  aulaweb ( a.a. 10/11 and the following)

## TEACHERS AND EXAM BOARD

Ricevimento:   Until the end of the health emergency, a special Teams channel will be set up and students can post their requests. Periodically the teacher will post the answers on Stream

Exam Board

DANILO PERCIVALE (President)

STEFANO VIGNOLO

## LESSONS

Teaching methods

60 hours of distance lectures until the end of sanitary emergency. Subsequently frontal lectures in a classroom

ORARI

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

Vedi anche:

MATHEMATICAL ANALYSIS 2

## EXAMS

Exam description

A written test is required which could be followed by another confirmation test whenever professor considers it necessary.

Assessment methods

Outcome of  written test and its possible confirmation.

Exam schedule

Date Time Location Type Notes
16/02/2021 09:00 GENOVA Scritto
10/06/2021 09:00 GENOVA Scritto
06/07/2021 09:00 GENOVA Scritto
06/09/2021 09:00 GENOVA Scritto

## FURTHER INFORMATION

Professor will receive students by appointment.