Learning objectives
Introducion to elementary calculus.
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>
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 />