PHYSICS | University of Parma

Professor: Stefano PANIZZI
Academic discipline: Analisi matematica (MAT/05)
Field: Discipline matematiche e informatiche
Type of training activity: Basic

48 hours
of face-to-face activities

6 credits

hub: PARMA

course unit
in

lectures timetable unavailable

exam calls

Integrated course unit module: CALCULUS 1

Learning objectives

Provide the basic tools of Mathematical Analysis

Prerequisites

Course unit content

Real analysis, functions of one variable, sequences, series

Full programme

Complex numbers. Definitions, operations, complex plain, polar form, root extraction.

Sequences. Mathematical induction; real and complex sequences;
limit of a sequence; subsequences; Cauchy sequences; monotonic sequences;
Neper's number; sequences defined by recurrence relation; upper and lower limits;
Bolzano-Weirstrass theorem, compactness in the real line. Uniform continuity.

Series. Convergence criteria: comparison tests, ratio test, root test; absolute convergence;
rearrangements; alternating series; examples: geometric series, harmonic series, power series.

Improper integrals; convergence of the integral, absolute convergence,
comparison tests. Integral test for positive valued series.

Bibliography

E. Acerbi, G. Buttazzo: Primo corso di Analisi Matematica, Ed. Pitagora, 1997.

E. Acerbi, G. Buttazzo: Analisi matematica ABC, Ed. Pitagora, 2000.

M. Bramanti, C.D. Pagani, S. Salsa: Analisi Matematica 1, Ed. Zanichelli, 2008.

M. Giaquinta, L. Modica, Analisi Matematica 1, vol. 1 & 2, Ed. Pitagora, 1998.

E. Giusti, Analisi matematica vol.1, Ed. Boringhieri, 2002

Teaching methods

classroom lectures and classroom exercises

Assessment methods and criteria

written and oral examination

Other information

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2030 agenda goals for sustainable development

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Contacts

Toll-free number

800 904 084

Student registry office

Tel. +39 0521 905116
E-mail segsmfn@unipr

Quality assurance office

Education manager:
Dr. Marco Squarcia
Tel. +39 0521 906094
Office E-mail segreteria.smfi@unipr
Manager E-mail marco.squarcia@unipr.it

President of the degree course

Prof. Luigi Cristofolini
E-mail luigi.cristofolini@unipr.it

Deputy President of the degree course

Prof.ssa Eugenia Polverini
E-mail eugenia.polverini@unipr.it

Faculty advisor

Prof. Danilo Bersani
E-mail danilo.bersani@unipr.it

Prof.ssa Antonella Parisini
E-mail: antonella.parisini@unipr.it

Prof. Francesco Cugini
E-mail: francesco.cugini@unipr.it

Career guidance delegate

Prof. Alessio Bosio
E-mail alessio.bosio@unipr.it

Tutor Professors

Prof. Stefania Abbruzzetti
E-mail stefania.abbruzzetti@unipr.it

Prof. Andrea Baraldi
E-mail andrea.baraldi@unipr.it

Prof. Francesco Di Renzo
E-mail francesco.direnzo@unipr.it

Prof. Massimo Solzi
E-mail massimo.solzi@unipr.it

Erasmus delegates

Prof. Bersani Danilo
E-mail: bersani.danilo@unipr.it

Prof. Guido D'Amico
E-mail:guido.damico@unipr.it

Quality assurance manager