Salta al contenuto principale della pagina

## MATHEMATICAL ANALYSIS 2

CODE 60503 2022/2023 12 cfu during the 2nd year of 8721 INGEGNERIA NAUTICA (L-9) - LA SPEZIA MAT/05 Italian LA SPEZIA 1° Semester Prerequisites You can take the exam for this unit if you passed the following exam(s): INGEGNERIA E DESIGN PER LA NAUTICA 10134 (coorte 2021/2022) MATHEMATICS + GEOMETRY 56973 This unit is a module of: AULAWEB

## 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)

## LESSONS

### LESSONS START

https://corsi.unige.it/8721/p/studenti-orario

### Class schedule

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

### FURTHER INFORMATION

Professor will receive students by appointment.