MATHEMATICAL ANALYSIS A
cod. 1000743

Academic year 2009/10
1° year of course - First semester
Professor
Academic discipline
Analisi matematica (MAT/05)
Field
Formazione matematico-fisica
Type of training activity
Basic
52 hours
of face-to-face activities
6 credits
hub:
course unit
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Learning objectives

Introducion to elementary calculus.

Prerequisites

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Course unit content

<p> Sets: basic definitions,set operations, indexed family of sets. Relations, order relations, equivalence relations, well founded relations. Functions, injections, surjections, bijections; composition and inverse functions.</p>
<p>Elementary calculus: axioms for the real number system, mathematical  induction. Real functions: graphical representation, properties, elementary functions. Limits.</p>

Full programme

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Bibliography

1. P.J. ECCLES, An introduction to mathematical reasoning: numbers, sets and functions, Cambridge Univ. Press 2006 <br />
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2. C.D. PAGANI, A. SALSA, Analisi matematica Vol. 1, Zanichelli <br />
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3. G. PRODI, Analisi Matematica, Boringhieri <br />
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4. M. SERVI, Insiemi, relazioni e funzioni: appunti per il precorso di Matematica a.a. 2002-2003, Libreria S. Croce 2002 <br />
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5. I.STEWART, D. TALL, The foundations of Mathematics, Oxford Univ. Press 1997 <br />

Teaching methods

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Assessment methods and criteria

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Other information

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