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MATHEMATICAL ANALYSIS II

Academic year and teacher
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Versione italiana
Academic year
2015/2016
Teacher
FAUSTO SEGALA
Credits
6
Didactic period
Primo Semestre
SSD
MAT/05

Training objectives

THE AIM OF THE COURSE FOR SECOND-YEAR STUDENTS IN PHYSICS IS TO GIVE THE BASIC KNOWLEDGES RELATED TO DIFFERENTIAL AND INTEGRAL CALCULUS FOR FUNTIONS OF SEVERAL VARIABLES

Prerequisites

BASIC ALGEBRA AND ANALYTIC GEOMETRY,DIFFERENTIAL AND INTEGRAL CALCULUS

Course programme

FUNCTIONS OF SEVERAL VARIABLES (4 HOURS)
PARTIAL DERIVATIVES (4 HOURS)
CURVES AND SURFACES (8 HOURS)
INTEGRALS ON CURVES,MULTIPLE INTEGRALS (10 HOURS)
SERIES AND FOURIER SERIES (8 HOURS)
LEBESGUE INTEGRAL (6 HOURS)
PARTIAL DIFFERENTIAL OPERATORS,APPLICATIONS TO RELEVANT PHYSICAL PROBLEMS (8 HOURS)

Didactic methods

Theoretical/practical lessons.

Learning assessment procedures

Written/oral examination.
The final mark is the mean value between written test and oral exam.

Reference texts

R.ADAMS,CALCOLO DIFFERENZIALE II,CEA,MILANO
https://www.youtube.com/watch?v=gZNm7L96pfY
https://en.wikipedia.org/wiki/Lebesgue_integration