# MATHEMATICAL ANALYSIS 2

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iten
Code
60503
2019/2020
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

The course provides  mathematical tools for better understanding basic concepts in Nautic Engineering.

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

Frontal lesson 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.Surfaces and surface integrals. Flux integrals.

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

Exam Board

STEFANO VIGNOLO (President)

DANILO PERCIVALE (President)

## LESSONS

Teaching methods

Frontal lesson in a classroom

## 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.

## FURTHER INFORMATION

Professor will receive students by appointment.