tag:blogger.com,1999:blog-57646292472442820612024-03-20T06:18:56.274-07:00AL110 (Fondamenti di Algebra) - a.a. 2013-2014Unknownnoreply@blogger.comBlogger1125tag:blogger.com,1999:blog-5764629247244282061.post-57618692616587601092013-09-17T06:04:00.002-07:002014-09-18T01:05:22.182-07:00<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">Crediti Formativi Universitari: 10 </span></div>
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">Semestre di svolgimento: primo </span><br />
<a href="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0xqmqby7TxoR6tgE77TwCxiLA-e4RngWj6N6BKALzcr6UJr4F8vBcMb2p878oKmKkXmFtCAgbHJi9X79jCrrqUW6mhsJ06aDODzMk7t21yWpas5N84DewncK5xLuTfWpRwggvndbUp7U/s1600/silvestro3.gif" imageanchor="1" style="clear: right; float: right; margin-bottom: 1em; margin-left: 1em;"><img border="0" src="https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEg0xqmqby7TxoR6tgE77TwCxiLA-e4RngWj6N6BKALzcr6UJr4F8vBcMb2p878oKmKkXmFtCAgbHJi9X79jCrrqUW6mhsJ06aDODzMk7t21yWpas5N84DewncK5xLuTfWpRwggvndbUp7U/s1600/silvestro3.gif" /></a><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><br />Docente: <a href="http://www.mat.uniroma3.it/membri/homepage.php?persona=32">Francesca Tartarone </a></span><br />
<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">Dipartimento di Matematica e Fisica </span><br />
<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">Stanza n. 303, tel. 06 5733 8015</span><br />
<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">e-mail:</span><span style="font-size: large;"> <span style="font-family: Arial, Helvetica, sans-serif;"><a href="mailto:tfrance@mat.uniroma3.it">tfrance@mat.uniroma3.it</a></span></span><br />
<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><br /><u>Lezioni</u>: Lunedì, ore 14-16 - Giovedì, ore 11-13, Aula B3.<br />Orario di ricevimento: Lunedì</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">, ore 11-13</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><u>Esercitazioni</u>: Dott. Carmelo Antonio Finocchiaro</span><br />
<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">Martedì ore 15-16, Mercoledì ore 9-11 (Aula B3)</span><br />
<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">e-mail: <a href="mailto:carmelo@mat.uniroma3.it">carmelo@mat.uniroma3.it</a></span><br />
<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">Orario di ricevimento: Martedì</span><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">, ore 14.15-16.15</span><br />
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<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><u>Tutorato</u>: Lunedì ore 9-11 (Aula B3)</span><br />
<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">Matteo Cepale - </span><span style="background-color: white; color: #222222; font-family: arial, sans-serif; white-space: nowrap;"><span style="font-size: large;"><a href="mailto:mat.cepale@stud.uniroma3.it">mat.cepale@stud.uniroma3.it</a></span></span><br />
<span style="font-family: Arial, Helvetica, sans-serif; font-size: large;">Mario Tani - </span><span style="background-color: white; white-space: nowrap;"><span style="font-family: Arial, Helvetica, sans-serif; font-size: large;"><a href="mailto:mapi_88@hotmail.it">mapi_88@hotmail.it</a></span></span><br />
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<span style="color: #0b5394; font-family: Arial, Helvetica, sans-serif; font-size: large;">Prerequisiti</span></div>
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<span style="font-family: Arial, Helvetica, sans-serif;">Nessuno. Si consiglia la frequenza.</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span><span style="color: #0b5394; font-family: Arial, Helvetica, sans-serif; font-size: large;">Descrizione breve del corso</span><br />
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<span style="color: black; font-family: Arial, Helvetica, sans-serif;">Insiemi ed applicazioni. Relazioni di equivalenza. I numeri naturali: Assiomi di Peano; Principio di induzione; Principio del Buon Ordinamento. Costruzione di $\mathbb Z$ e $\mathbb Q$. Prime proprietà di $\mathbb C$. Divisibilità in $\mathbb Z$. Definizioni ed esempi delle principali strutture algebriche: Gruppi, Anelli e Campi. Gruppi di permutazioni. L'anello delle classi resto modulo n. Congruenze lineari. Anelli di polinomi a coefficienti numerici: definizione, prime proprietà, divisibilità e criteri di irriducibilità.</span></div>
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<span style="color: #0b5394; font-family: Arial, Helvetica, sans-serif; font-size: large;"><br /></span><span style="color: #0b5394; font-family: Arial, Helvetica, sans-serif; font-size: large;"><a href="http://www.mat.uniroma3.it/users/tfrance/corsi/AL110_13_14/programma%20AL110%202013-14.pdf">Programma del corso</a></span><br />
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<span style="color: #0b5394; font-family: Arial, Helvetica, sans-serif;"><a href="http://www.mat.uniroma3.it/corsi/calendari_orari/calendario_esami/calendario_esami.php?dati=c2VtZXN0cmU9MSZhbm5vX2FjY2FkZW1pY289MjAxM18yMDE0"><span style="font-size: large;">C</span><span style="font-size: large;">alendario degli esami</span></a></span><br />
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<span style="color: #0b5394; font-family: Arial, Helvetica, sans-serif; font-size: large;">Modalità di esame</span><span style="font-family: Arial, Helvetica, sans-serif;"><span style="color: #741b47; font-size: large;"><b><br /></b></span>L'esame consisterà in una prova scritta ed una orale al termine del corso.</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;">Durante il corso sono previste due prove in itinere che saranno valutate come prova scritta dell'esame.</span><br />
<span style="font-family: Arial, Helvetica, sans-serif;"><br /></span><span style="color: #0b5394; font-family: Arial, Helvetica, sans-serif; font-size: large;">Testi consigliati</span><br />
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<li><big><span style="font-family: Arial, Helvetica, sans-serif; font-size: small;">M. Fontana, <span style="font-style: italic;">Appunti del corso AL110</span></span></big></li>
<a href="http://mfontana-homepage.blogspot.it/p/didattica-teaching.html#dispense"><span style="font-family: Arial, Helvetica, sans-serif;">http://mfontana-homepage.blogspot.it/p/didattica-teaching.html#dispense</span></a><br />
<li><span style="font-family: Arial, Helvetica, sans-serif;">G.M. Piacentini Cattaneo, </span><span style="font-family: Arial, Helvetica, sans-serif; font-style: italic;">Algebra, un approccio algoritmico,</span><span style="font-family: Arial, Helvetica, sans-serif;"> Decibel-Zanichelli, (1996)</span></li>
<li><big><span style="font-family: Arial, Helvetica, sans-serif; font-size: small;"> D. Dikranjan - M.S. Lucido, <span style="font-style: italic;">Aritmetica e algebra,</span> Liguori Editore, (2007) </span></big></li>
<li><span style="font-family: Arial, Helvetica, sans-serif;"> M. Fontana - S. Gabelli: Insiemi, numeri e polinomi.
Primo ciclo di lezioni del corso di Algebra con esercizi svolti. CISU, (1989)
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<li><span style="font-family: Arial, Helvetica, sans-serif;"><big><span style="font-family: Arial, Helvetica, sans-serif; font-size: small;"> M. Fontana - S. Gabelli, <span style="font-style: italic;">Esercizi di Algebra,</span> Aracne, (1993)</span></big></span></li>
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<li><big><span style="font-family: Arial, Helvetica, sans-serif; font-size: small;">I. N. Herstein, <span style="font-style: italic;">Algebra</span>, Editori Riuniti, (2003)</span></big></li>
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