{"id":243,"date":"2022-02-04T22:26:07","date_gmt":"2022-02-04T22:26:07","guid":{"rendered":"https:\/\/www.dm.unipi.it\/didattica\/gruppo-modaffint\/"},"modified":"2025-04-02T09:18:00","modified_gmt":"2025-04-02T07:18:00","slug":"gruppo-modaffint","status":"publish","type":"page","link":"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/","title":{"rendered":"Gruppo ModAffInt"},"content":{"rendered":"\n<p>Il <strong>gruppo ModAffInt<\/strong> comprende insegnamenti affini o integrativi. Gli insegnamenti di questo gruppo prevedono un carico di lavoro equivalente a 6 CFU. Esso comprende:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2-Variet\u00e0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 231AA<\/li>\n\n\n\n<li>3-Variet\u00e0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 232AA<\/li>\n\n\n\n<li>4-Variet\u00e0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 233AA<\/li>\n\n\n\n<li>Algebra 1\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 037AA<\/li>\n\n\n\n<li>Algebra 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 038AA<\/li>\n\n\n\n<li>Algebra Commutativa e Geometria Algebrica Computazionale\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 082AA<\/li>\n\n\n\n<li>Algebra Computazionale A\u00a0\u00a0\u00a0\u00a0\u00a0 083AA<\/li>\n\n\n\n<li>Algebra Computazionale B\u00a0\u00a0\u00a0\u00a0\u00a0 084AA<\/li>\n\n\n\n<li>Algebra Lineare e Multilineare 085AA<\/li>\n\n\n\n<li>Algebra Omologica\u00a0\u00a0\u00a0\u00a0\u00a0 086AA<\/li>\n\n\n\n<li>Algebra Superiore A\u00a0\u00a0\u00a0\u00a0 087AA<\/li>\n\n\n\n<li>Algebra Superiore B\u00a0\u00a0\u00a0\u00a0 088AA<\/li>\n\n\n\n<li>Algebra non Commutativa\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 698AA<\/li>\n\n\n\n<li>Algebre e Gruppi di Lie\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 089AA<\/li>\n\n\n\n<li>Algoritmi e Strutture Dati\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 039AA<\/li>\n\n\n\n<li>Analisi Armonica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 090AA<\/li>\n\n\n\n<li>Funzioni olomorfe e insiemi analitici\u00a0 0018A<\/li>\n\n\n\n<li>Geometria e Analisi Complessa\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0019A<\/li>\n\n\n\n<li>Analisi Convessa\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 093AA<\/li>\n\n\n\n<li>Analisi Geometrica\u00a0\u00a0\u00a0\u00a0\u00a0 548AA<\/li>\n\n\n\n<li>Analisi Matematica 3\u00a0\u00a0 547AA<\/li>\n\n\n\n<li>Analisi Microlocale\u00a0\u00a0\u00a0\u00a0\u00a0 094AA<\/li>\n\n\n\n<li>Analisi Nonstandard\u00a0\u00a0\u00a0 550AA<\/li>\n\n\n\n<li>Analisi Reale\u00a0\u00a0 740AA<\/li>\n\n\n\n<li>Analisi Superiore A\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 798AA<\/li>\n\n\n\n<li>Analisi Superiore B\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 799AA<\/li>\n\n\n\n<li>Analisi dei dati 699AA<\/li>\n\n\n\n<li>Analisi in Spazi Metrici\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 549AA<\/li>\n\n\n\n<li>Analisi non Lineare\u00a0\u00a0\u00a0\u00a0\u00a0 095AA<\/li>\n\n\n\n<li>Applicazioni della Fluidodinamica alla Biomedicina\u00a0 700AA<\/li>\n\n\n\n<li>Applicazioni di Equazioni Differenziali alla Biomedicina\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 701AA<\/li>\n\n\n\n<li>Aspetti Matematici nella Computazione Quantistica 796AA<\/li>\n\n\n\n<li>Calcolo Scientifico\u00a0\u00a0\u00a0\u00a0\u00a0 044AA<\/li>\n\n\n\n<li>Calcolo delle Variazioni A\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 096AA<\/li>\n\n\n\n<li>Calcolo delle Variazioni B\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 097AA<\/li>\n\n\n\n<li>Campi Ciclotomici\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 098AA<\/li>\n\n\n\n<li>Capacit\u00e0 non Lineare, Disequazioni Variazionali e Applicazioni\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 552AA<\/li>\n\n\n\n<li>Combinatoria Algebrica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 797AA<\/li>\n\n\n\n<li>Complementi di Analisi Funzionale\u00a0\u00a0\u00a0\u00a0 099AA<\/li>\n\n\n\n<li>Complementi di Didattica della Matematica\u00a0 582AA<\/li>\n\n\n\n<li>Coomologia Etale\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 702AA<\/li>\n\n\n\n<li>Crittografia post-quantistica\u00a0\u00a0 703AA<\/li>\n\n\n\n<li>Curve ellittiche\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 704AA<\/li>\n\n\n\n<li>Determinazione Orbitale\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 101AA<\/li>\n\n\n\n<li>Didattica della Matematica e Nuove Tecnologie\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 528AA<\/li>\n\n\n\n<li>Dinamica Iperbolica\u00a0\u00a0\u00a0 105AA<\/li>\n\n\n\n<li>Dinamica Olomorfa\u00a0\u00a0\u00a0\u00a0 106AA<\/li>\n\n\n\n<li>Dinamica del Sistema Solare\u00a0 580AA<\/li>\n\n\n\n<li>Elementi di Algebra Computazionale\u00a0 045AA<\/li>\n\n\n\n<li>Elementi di Analisi Complessa\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 046AA<\/li>\n\n\n\n<li>Elementi di Calcolo delle Variazioni\u00a0\u00a0\u00a0 047AA<\/li>\n\n\n\n<li>Elementi di Calcolo in Gruppi Omogenei\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 514AA<\/li>\n\n\n\n<li>Elementi di Geometria Algebrica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 049AA<\/li>\n\n\n\n<li>Elementi di Logica Matematica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 050AA<\/li>\n\n\n\n<li>Elementi di Meccanica Celeste\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 051AA<\/li>\n\n\n\n<li>Elementi di Probabilit\u00e0 e Statistica\u00a0\u00a0\u00a0\u00a0\u00a0 052AA<\/li>\n\n\n\n<li>Elementi di Teoria degli Insiemi\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 053AA<\/li>\n\n\n\n<li>Elementi di Topologia Algebrica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 054AA<\/li>\n\n\n\n<li>Equazioni Differenziali Ordinarie\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 108AA<\/li>\n\n\n\n<li>Equazioni Differenziali Stocastiche e Applicazioni\u00a0\u00a0\u00a0\u00a0\u00a0 555AA<\/li>\n\n\n\n<li>Equazioni Ellittiche\u00a0\u00a0\u00a0\u00a0\u00a0 109AA<\/li>\n\n\n\n<li>Equazioni Iperboliche 556AA<\/li>\n\n\n\n<li>Equazioni Paraboliche 557AA<\/li>\n\n\n\n<li>Equazioni alle Derivate Parziali\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 545AA<\/li>\n\n\n\n<li>Equazioni alle Derivate Parziali 2\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 553AA<\/li>\n\n\n\n<li>Equazioni della Fluidodinamica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 554AA<\/li>\n\n\n\n<li>Finanza Matematica\u00a0\u00a0\u00a0 110AA<\/li>\n\n\n\n<li>Fisica III\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 243BB<\/li>\n\n\n\n<li>Fisica Matematica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 111AA<\/li>\n\n\n\n<li>Fondamenti della Matematica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 112AA<\/li>\n\n\n\n<li>Forme Modulari\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 113AA<\/li>\n\n\n\n<li>Funzioni L\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 807AA<\/li>\n\n\n\n<li>Funzioni Speciali\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 114AA<\/li>\n\n\n\n<li>Geometria Differenziale Complessa\u00a0\u00a0 123AA<\/li>\n\n\n\n<li>Geometria Iperbolica\u00a0 125AA<\/li>\n\n\n\n<li>Geometria Reale A\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 126AA<\/li>\n\n\n\n<li>Geometria Reale B\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 127AA<\/li>\n\n\n\n<li>Geometria Reale C\u00a0\u00a0\u00a0\u00a0\u00a0 128AA<\/li>\n\n\n\n<li>Geometria Reale Computazionale\u00a0\u00a0\u00a0\u00a0\u00a0 129AA<\/li>\n\n\n\n<li>Geometria Riemanniana\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 130AA<\/li>\n\n\n\n<li>Geometria Simplettica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 131AA<\/li>\n\n\n\n<li>Geometria degli Spazi Metrici 121AA<\/li>\n\n\n\n<li>Geometria di Contatto\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 122AA<\/li>\n\n\n\n<li>Geometria e Topologia Differenziale\u00a0\u00a0 055AA<\/li>\n\n\n\n<li>Geometria e Topologia delle Superfici 124AA<\/li>\n\n\n\n<li>Gruppi algebrici lineari\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 705AA<\/li>\n\n\n\n<li>Gruppi di Coxeter\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 132AA<\/li>\n\n\n\n<li>Introduzione all&#8217;Analisi P-adica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 133AA<\/li>\n\n\n\n<li>Introduzione alla Meccanica Quantistica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 018BB<\/li>\n\n\n\n<li>Introduzione alla Teoria Geometrica della Misura\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 609AA<\/li>\n\n\n\n<li>Laboratorio di fisica per l&#8217;insegnamento\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 247BB<\/li>\n\n\n\n<li>Logica Matematica\u00a0\u00a0\u00a0\u00a0\u00a0 064AA<\/li>\n\n\n\n<li>Matematica Discreta\u00a0 139AA<\/li>\n\n\n\n<li>Matematica e Musica\u00a0 140AA<\/li>\n\n\n\n<li>Matematiche Elementari da un Punto di Vista Superiore: Aritmetica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 065AA<\/li>\n\n\n\n<li>Matematiche Elementari da un Punto di Vista Superiore: Geometria\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 066AA<\/li>\n\n\n\n<li>Meccanica Celeste\u00a0\u00a0\u00a0\u00a0\u00a0 142AA<\/li>\n\n\n\n<li>Meccanica Razionale\u00a0 575AA<\/li>\n\n\n\n<li>Meccanica Relativistica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 581AA<\/li>\n\n\n\n<li>Meccanica Spaziale\u00a0\u00a0\u00a0 144AA<\/li>\n\n\n\n<li>Meccanica Superiore\u00a0 145AA<\/li>\n\n\n\n<li>Meccanica dei Continui\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 143AA<\/li>\n\n\n\n<li>Metodi Matematici della Crittografia\u00a0\u00a0 147AA<\/li>\n\n\n\n<li>Metodi Numerici per Equazioni Differenziali Ordinarie\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 067AA<\/li>\n\n\n\n<li>Metodi Numerici per Equazioni alle Derivate Parziali 795AA<\/li>\n\n\n\n<li>Metodi Numerici per la Grafica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 149AA<\/li>\n\n\n\n<li>Metodi Topologici in Analisi Globale\u00a0\u00a0 068AA<\/li>\n\n\n\n<li>Metodi Topologici per le Equazioni Differenziali\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 151AA<\/li>\n\n\n\n<li>Metodi di Analisi Armonica in Analisi non Lineare\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 775AA<\/li>\n\n\n\n<li>Metodi di ottimizzazione delle reti\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 611AA<\/li>\n\n\n\n<li>Modelli Matematici in Biomedicina e Fisica Matematica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 559AA<\/li>\n\n\n\n<li>Onde Lineare e non Lineari\u00a0\u00a0\u00a0\u00a0\u00a0 152AA<\/li>\n\n\n\n<li>Operatori Differenziali e Teoremi dell&#8217;Indice\u00a0\u00a0 155AA<\/li>\n\n\n\n<li>Origini e Sviluppo delle Matematiche Moderne\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 156AA<\/li>\n\n\n\n<li>Probabilit\u00e0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 070AA<\/li>\n\n\n\n<li>Probabilit\u00e0 Superiore\u00a0 560AA<\/li>\n\n\n\n<li>Problem Solving\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 166AA<\/li>\n\n\n\n<li>Problemi di Evoluzione\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 168AA<\/li>\n\n\n\n<li>Problemi e Metodi in Storia della Matematica 613AA<\/li>\n\n\n\n<li>Problemi e metodi della ricerca in didattica della matematica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 612AA<\/li>\n\n\n\n<li>Rappresentazioni di Galois p-adiche\u00a0 781AA<\/li>\n\n\n\n<li>Ricerca Operativa\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 072AA<\/li>\n\n\n\n<li>Sistemi Dinamici\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 074AA<\/li>\n\n\n\n<li>Sistemi Dinamici Discreti\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 171AA<\/li>\n\n\n\n<li>Spazi Simmetrici\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 185AA<\/li>\n\n\n\n<li>Spazi di Funzioni\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 172AA<\/li>\n\n\n\n<li>Spazi di Sobolev\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 794AA<\/li>\n\n\n\n<li>Statistica Matematica 075AA<\/li>\n\n\n\n<li>Introduzione alla Statistica Computazionale\u00a0 0020A<\/li>\n\n\n\n<li>Storia della Matematica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 076AA<\/li>\n\n\n\n<li>Storia della Matematica Antica e della sua Tradizione\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 186AA<\/li>\n\n\n\n<li>Superfici Minime\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 187AA<\/li>\n\n\n\n<li>Tecnologie per la Didattica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 201AA<\/li>\n\n\n\n<li>Teoria Algebrica dei Numeri 1 077AA<\/li>\n\n\n\n<li>Teoria Algebrica dei Numeri 2 202AA<\/li>\n\n\n\n<li>Teoria Algebrica dei Numeri 3 706AA<\/li>\n\n\n\n<li>Teoria Analitica dei Numeri A\u00a0 204AA<\/li>\n\n\n\n<li>Teoria Analitica dei Numeri B\u00a0 205AA<\/li>\n\n\n\n<li>Teoria Descrittiva della Complessit\u00e0\u00a0\u00a0 222AA<\/li>\n\n\n\n<li>Teoria Ergodica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 224AA<\/li>\n\n\n\n<li>Teoria Geometrica della Misura\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 225AA<\/li>\n\n\n\n<li>Teoria degli Insiemi A\u00a0\u00a0 767AA<\/li>\n\n\n\n<li>Teoria degli Insiemi B\u00a0\u00a0 778AA<\/li>\n\n\n\n<li>Teoria dei Campi e Teoria di Galois\u00a0\u00a0\u00a0\u00a0\u00a0 078AA<\/li>\n\n\n\n<li>Teoria dei Codici\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 209AA<\/li>\n\n\n\n<li>Teoria dei Codici e Crittografia\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 079AA<\/li>\n\n\n\n<li>Teoria dei Controlli\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 210AA<\/li>\n\n\n\n<li>Teoria dei Giochi\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 211AA<\/li>\n\n\n\n<li>Teoria dei Gruppi\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 212AA<\/li>\n\n\n\n<li>Teoria dei Modelli\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 213AA<\/li>\n\n\n\n<li>Teoria dei Nodi B\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 747AA<\/li>\n\n\n\n<li>Teoria dei Numeri Elementare 080AA<\/li>\n\n\n\n<li>Teoria dei Semigruppi\u00a0 215AA<\/li>\n\n\n\n<li>Teoria dei nodi A\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 746AA<\/li>\n\n\n\n<li>Teoria del Controllo Ottimo\u00a0\u00a0\u00a0\u00a0 216AA<\/li>\n\n\n\n<li>Teoria della Calcolabilit\u00e0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 217AA<\/li>\n\n\n\n<li>Teoria della Dimostrazione\u00a0\u00a0\u00a0\u00a0\u00a0 218AA<\/li>\n\n\n\n<li>Teoria della Misura\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 219AA<\/li>\n\n\n\n<li>Teoria delle Categorie\u00a0 220AA<\/li>\n\n\n\n<li>Teoria delle Funzioni\u00a0\u00a0\u00a0 221AA<\/li>\n\n\n\n<li>Teorie in Didattica della Matematica\u00a0\u00a0 806AA<\/li>\n\n\n\n<li>Topologia Algebrica A\u00a0 777AA<\/li>\n\n\n\n<li>Topologia Algebrica B\u00a0 766AA<\/li>\n\n\n\n<li>Topologia Differenziale\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 227AA<\/li>\n\n\n\n<li>Topologia Generale\u00a0\u00a0\u00a0\u00a0 229AA<\/li>\n\n\n\n<li>Topologia e Geometria in Bassa Dimensione\u00a0 228AA<\/li>\n\n\n\n<li>Ultrafiltri e Metodi Nonstandard\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 230AA<\/li>\n\n\n\n<li>Laboratorio di verifica automatica delle dimostrazioni\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0021A<\/li>\n\n\n\n<li>D-moduli\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0022A<\/li>\n\n\n\n<li>Teoria del pluripotenziale e correnti positive\u00a0\u00a0 0024A<\/li>\n\n\n\n<li>Analisi di cammini irregolari\u00a0\u00a0\u00a0 0025A<\/li>\n\n\n\n<li>Analisi su spazi Gaussiani\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0026A<\/li>\n\n\n\n<li>Aspetti matematici del reinforcement learning\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0027A<\/li>\n\n\n\n<li>Introduzione alle PDE stocastiche\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0028A<\/li>\n\n\n\n<li>Ottimizzazione stocastica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0029A<\/li>\n\n\n\n<li>Teoria del deep\u00a0 learning\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0030A<\/li>\n\n\n\n<li>Teoria delle rappresentazioni A\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0023A<\/li>\n\n\n\n<li>Categorie in geometria\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0048A<\/li>\n\n\n\n<li>Complementi di meccanica razionale\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0049A<\/li>\n\n\n\n<li>Elementi di teoria delle rappresentazioni\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0046A<\/li>\n\n\n\n<li>Geometria Algebrica Complessa\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0050A<\/li>\n\n\n\n<li>Geometria torica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0051A<\/li>\n\n\n\n<li>Gruppi di Galois e gruppi fondamentali\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0052A<\/li>\n\n\n\n<li>Metodi matematici della Meccanica Quantistica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0053A<\/li>\n\n\n\n<li>Metodi numerici per riduzione di modello\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0054A<\/li>\n\n\n\n<li>Metodi numerici per problemi inversi 0055A<\/li>\n\n\n\n<li>Metodi numerici per funzioni di matrici\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0056A<\/li>\n\n\n\n<li>Modelli matematici e loro simulazione numerica\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0057A<\/li>\n\n\n\n<li>Metodi numerici per catene di Markov e reti complesse\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0058A<\/li>\n\n\n\n<li>Metodi numerici per il controllo ottimo\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0059A<\/li>\n\n\n\n<li>Metodi numerici per il calcolo tensoriale\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0060A<\/li>\n\n\n\n<li>Metodi probabilistici per l\u2019algebra lineare numerica\u00a0\u00a0 0061A<\/li>\n\n\n\n<li>Ottimizzazione non lineare\u00a0\u00a0\u00a0\u00a0\u00a0 0047A<\/li>\n\n\n\n<li>Sistemi Dinamici aleatori\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0062A<\/li>\n\n\n\n<li>Superfici Algebriche \u00a0\u00a0 0063A<\/li>\n\n\n\n<li>Superfici di Riemann e Curve Algebriche\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0064A<\/li>\n\n\n\n<li>Teoria degli schemi\u00a0\u00a0\u00a0\u00a0\u00a0 0065A<\/li>\n\n\n\n<li>Variet\u00e0 abeliane\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 0066A<\/li>\n\n\n\n<li>Variet\u00e0 algebriche di dimensione alta 0067A<\/li>\n<\/ul>\n\n\n\n<p>Per ulteriori informazioni sui singoli corsi, consultare il <a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/regolamenti-corso-di-laurea-magistrale\/\">Regolamento del Corso di Studio<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Il gruppo ModAffInt comprende insegnamenti affini o integrativi. 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