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University of Parma
Course catalogue
Università degli Studi di Parma
course catalogue

MATHEMATICS IV
cod. 16700

Academic year 2007/08
1° year of course - First semester
Professor
Academic discipline
Geometria (MAT/03)
Field
Formazione interdisciplinare
Type of training activity
Related/supplementary
24 hours
of face-to-face activities
3 credits
hub: -
course unit
in - - -
lectures timetable unavailable
exam calls

Integrated course unit module: MATHEMATICS III - MATHEMATICS IV

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Learning objectives

Presents basic concepts regarding vector spaces, function spaces, Fourier series and an optimisation problem, concepts useful for the study of the other curricular subjects.

Prerequisites

Mathematics I  and  Mathematics  II

Course unit content

<br /> Vector spaces. Normed spaces. L-p spaces. Vector spaces with scalar product. Sequences of functions. Series of functions and different notions of convergence. Theorems of integration and derivation by series. Power series. Trigonometric series and Fourier series. Parseval's inequality. Complex form of Fourier series. Maxima and minima of two variables functions subject to side conditions. The Lagrange multiplier rule. <br /> 

Full programme

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Bibliography

<br />M. Bramanti, C.D. Pagani, S. Salsa, MATEMATICA (Calcolo infinitesimale e Algebra Lineare), Zanichelli, Bologna, 2004.<br />G.C. Barozzi, Matematica per l'ingegneria dell'informazione, Zanichelli, Bologna.<br />C.D. Pagani, S. Salsa, Analisi matematica 2,  Masson, Milano.<br />C. Minnaja, Matematica Due, Decibel-Zanichelli, Bologna.<br /> 

Teaching methods

<br />Frontal lectures and exercises.<br />The exam for Mathematic IV  is integrated with that of Mathematics III . It consists of an oral exam.

Assessment methods and criteria

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Other information

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