MATHEMATICAL METHODS
cod. 01765

Academic year 2012/13
1° year of course - First semester
Professor
Academic discipline
Geometria (MAT/03)
Field
Discipline matematiche, fisiche, informatiche e statistiche
Type of training activity
Basic
52 hours
of face-to-face activities
6 credits
hub: PARMA
course unit
in - - -

Learning objectives

Give the bases of calculus for functions of one real variable

Prerequisites

Mathematics taught in high schools

Course unit content

Real numbers, elementary algebra, equations and inequalities. Functions and their graphs, elementary functions. The principle of induction. Maximum, minimum, supremum and infimum of sets of real numbers. Limits of sequences and of functions of a real variable. Continuity, derivatives, primitives and their properties. Integrals of continuous functions over intervals. Study of the graphs of functions of one real variable.

Full programme

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Bibliography

P. Marcellini, C. Sbordone: Calcolo, Liguori Editore
G. Prodi: Istituzioni di Matematica, Mc-Graw-Hill Italia
A. Nannicini, L. Verdi, S. Vessella: Note ed esercizi svolti di Calcolo 1, Pitagora Editrice
G. De Marco: Analisi Zero, Decibel-Zanichelli
A. Zaccagnini, M.G. Rinaldi: Esercizi per i corsi di Istituzioni di Matematica, Azzali Editore

Teaching methods

Lectures and exercises in the classroom

Assessment methods and criteria

Written and oral examination

Other information

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