Course catalogue | University of Parma

Professor
Academic discipline: Analisi matematica (MAT/05)
Field: Formazione matematica
Type of training activity: Basic

48 hours
of face-to-face activities

6 credits

hub: -

course unit
in - - -

lectures timetable unavailable

exam calls

Integrated course unit module: FUNCTIONS WITH ONE VARIABLE A - FUNCTIONS WITH ONE VARIABLE B

Learning objectives

Provide the basic tools of Mathematical Analysis

Prerequisites

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Course unit content

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.

Full programme

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Bibliography

J. Cecconi, G. Stampacchia, Analisi Matematica 1, LIGUORI, 1974. 
E. Giusti, Analisi Matematica 1, BORINGHIERI, 1983. 
E. Acerbi, G. Buttazzo, Primo corso di Analisi Matematica, Pitagora editrice, Bologna (1997)

Teaching methods

Teaching method: classroom lectures and classroom exercises 
Assessment method: written and oral examination

Assessment methods and criteria

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Other information

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FUNCTIONS WITH ONE VARIABLE B cod. 22912

Learning objectives

Prerequisites

Course unit content

Full programme

Bibliography

Teaching methods

Assessment methods and criteria

Other information

FUNCTIONS WITH ONE VARIABLE B
cod. 22912