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

PRINCIPLES OF MATHEMATICS
cod. 00541

Academic year 2008/09
1° year of course - First semester
Professor
Academic discipline
Geometria (MAT/03)
Field
Discipline matematiche e informatiche
Type of training activity
Basic
64 hours
of face-to-face activities
8 credits
hub:
course unit
in - - -
lectures timetable unavailable
exam calls
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Learning objectives

Provides students with concepts and basic mathematical tools, as well as a rigorous language, good ability in formulating and solving problems and the ability to read and comprehend simple mathematcal texts.

Prerequisites

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Course unit content

<br />Elements of set theory. Numerical sets; N, Z, Q, R . Powers and radicals. Exponentials and logarithms. Elements of trigonometry. Complex numbers. Permutations, combinations, binomial coefficients. Binomial theorem. Vectors in plane and space. Basic notions in vector algebra. Matrices and algebra of matrices. Determinants. Systems of linear equations. Eigenvalues and eigenvectors of a square matrix. Some elements of analytic geometry in 2-3 dimensional spaces. Sequences; theorems on limits of sequences. Series. Real functions of one real variable. Composed functions. Invertible functions. Limits of functions. Continous functions. The derivative. Some differential calculus theorems. Applications of derivatives to the study of functions. Some notions on power series. Differentials. Indefinite integrals. Definite integrals. The fundamental theorem of integral calculus. Improper integrals. Real functions of two or more variables. Ordinary differential equations. Linear first order differential equations. Initial-value problems. Linear differential equations with constant coefficients.

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 />
M. Bertsch, Istituzioni di Matematica, Bollati Boringhieri, Torino.<br />
G. Zwirner, Istituzioni di Matematiche (parti 1^ e 2^), Cedam, Padova.

Teaching methods

<br />Frontal  lectures and exercises.<br />The exam consists of written and oral tests.

Assessment methods and criteria

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Other information

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