# MATHEMATICAL ANALYSIS 2

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iten
Code
72286
2019/2020
CREDITS
6 credits during the 2nd year of 8784 Mechanical Engineering (L-9) LA SPEZIA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/05
LANGUAGE
Italian
TEACHING LOCATION
LA SPEZIA (Mechanical Engineering)
semester
1° Semester
Teaching materials

OVERVIEW

The aim of the course is to teach differential and  integral calculus in more variables and the grounding of ordinary differential equations and functions of several variables, numeriucal series and series of functions.

## AIMS AND CONTENT

LEARNING OUTCOMES

The main objective of the course is to provide students tools for differential and integral calculus and methods for numerical integration for Cauchy problems and  for definite integrals.

AIMS AND LEARNING OUTCOMES

Double and triple integrals; changes of variable in multiple integrals: polar, cylindrical, spherical coordinates. Rotations and expansions. Curvilinear integrals of scalar functions. Length of a curve, Gauss-Green formulas. Surfaces, surface area, surface integrals. System of linear differential equations, Cauchy problem, numerical methods, numerical series and series of functions.

Teaching methods

Lessons and tutorials in classroom.

SYLLABUS/CONTENT

Double and triple integrals; changes of variable in multiple integrals: polar, cylindrical, spherical coordinates. Rotations and expansions. Curvilinear integrals of scalar functions. Length of a curve, Gauss-Green formulas. Surfaces, surface area, surface integrals. System of linear differential equations, Cauchy problem, numerical methods, numerical series and series of functions.

Fusco N., Marcellini P., Sbordone C., Analisi Matematica 2, Liguori, 1996;

Parodi F., Appunti sulle serie

Zolezzi T., Analisi Matematica e calcolo numerico, CLU, Genova

## TEACHERS AND EXAM BOARD

Ricevimento: By appointment via email.

Exam Board

CLAUDIO ESTATICO (President)

ROBERTUS VAN DER PUTTEN

MARCO BARONTI

## LESSONS

Teaching methods

Lessons and tutorials in classroom.

LESSONS START

September 2016

ORARI

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

Vedi anche:

MATHEMATICAL ANALYSIS 2

## EXAMS

Exam description

Written an oral examination.

Assessment methods

Written an oral examination.

Exam schedule

Date Time Location Type Notes
29/06/2020 09:30 LA SPEZIA Scritto
27/07/2020 09:30 LA SPEZIA Scritto
14/09/2020 09:30 LA SPEZIA Scritto

## FURTHER INFORMATION

`Prerequisites: Mathematical analysys 1`