{"id":1814,"date":"2023-02-22T09:16:39","date_gmt":"2023-02-22T08:16:39","guid":{"rendered":"https:\/\/www.dm.unipi.it\/didattica\/?page_id=1814"},"modified":"2024-03-04T15:59:54","modified_gmt":"2024-03-04T14:59:54","slug":"courses-for-academic-year-2023-24","status":"publish","type":"page","link":"https:\/\/www.dm.unipi.it\/didattica\/en\/lectures-exams\/course-offer\/courses-for-academic-year-2023-24\/","title":{"rendered":"Courses for Academic Year 2023\/24"},"content":{"rendered":"\n<h4 class=\"wp-block-heading\">Key<\/h4>\n\n<p><strong>Year:<\/strong><\/p>\n\n<ul class=\"wp-block-list\">\n<li>I = first-year course of the Bachelor\u2019s Degree<\/li>\n\n\n\n<li>II = second-year course of the Bachelor\u2019s Degree<\/li>\n\n\n\n<li>III = third-year course of the Bachelor\u2019s Degreeor course shared between Bachelor\u2019s and Master\u2019s Degree<\/li>\n\n\n\n<li>M = course of the Master\u2019s Degree<\/li>\n<\/ul>\n\n<p><strong>Term:<\/strong><\/p>\n\n<ul class=\"wp-block-list\">\n<li>1 = first-term course<\/li>\n\n\n\n<li>2 = second-term course<\/li>\n\n\n\n<li>Y = full-year course<\/li>\n<\/ul>\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td><strong>English Course Title (Italian Course Title)<\/strong><\/td><td><strong>Code<\/strong><\/td><td><strong>Sector<\/strong><\/td><td><strong>CFU\/ECTS<\/strong><\/td><td><strong>Year<\/strong><\/td><td><strong>Term<\/strong><\/td><td><b>Teachers<\/b><\/td><td><strong>Language<\/strong><\/td><\/tr><tr><td>Mathematical analysis 1 (Analisi matematica 1)<\/td><td>561AA<\/td><td>MAT\/05<\/td><td>15<\/td><td>I<\/td><td>Y<\/td><td>Giovanni Alberti, Alessandra Pluda<\/td><td><\/td><\/tr><tr><td>Arithmetic (Aritmetica)<\/td><td>015AA<\/td><td>MAT\/02<\/td><td>9<\/td><td>I<\/td><td>1<\/td><td>Giovanni Gaiffi, Michele D\u2019Adderio<\/td><td><\/td><\/tr><tr><td>Physics I with laboratory (Fisica I con laboratorio)<\/td><td>241BB<\/td><td>FIS\/02<\/td><td>9<\/td><td>I<\/td><td>2<\/td><td>Ignazio Bombaci, Alberto Messineo, <em>tbd<\/em><\/td><td><\/td><\/tr><tr><td>Fundaments of programming with laboratory (Fondamenti di programmazione con laboratorio)<\/td><td>017AA<\/td><td>INF\/01<\/td><td>9<\/td><td>I<\/td><td>1<\/td><td>Chiara Bodei, Damiano Di Francesco Maesa, Roberta Gori<\/td><td><\/td><\/tr><tr><td>Geometry 1 (Geometria 1)<\/td><td>614AA<\/td><td>MAT\/03<\/td><td>15<\/td><td>I<\/td><td>Y<\/td><td>Mario Salvetti, Sandro Manfredini<\/td><td><\/td><\/tr><tr><td> Introductory Computational Mathematics Lab (Laboratorio di introduzione alla matematica computazionale)<\/td><td>1993Z<\/td><td><\/td><td>6<\/td><td>I<\/td><td>Y<\/td><td>Paolo Giulietti, Fabio Durastante, Giovanni Manzini, Cecilia Pagliantini<\/td><td><\/td><\/tr><tr><td>Algebra 1 (Algebra 1)<\/td><td>037AA<\/td><td>MAT\/02<\/td><td>6<\/td><td>II<\/td><td>1<\/td><td>Ilaria Del Corso, Davide Lombardo<\/td><td><\/td><\/tr><tr><td>Algorithms and data structure (Algoritmi e strutture dati)<\/td><td>039AA<\/td><td>INF\/01<\/td><td>6<\/td><td>II<\/td><td>2<\/td><td>Roberto Grossi<\/td><td><\/td><\/tr><tr><td>Mathematical analysis 2 (Analisi matematica 2)<\/td><td>546AA<\/td><td>MAT\/05<\/td><td>12<\/td><td>II<\/td><td>Y<\/td><td>Aldo Pratelli, Carlo Carminati<\/td><td><\/td><\/tr><tr><td>Numerical analysis with laboratory (Analisi numerica con laboratorio)<\/td><td>043AA<\/td><td>MAT\/08<\/td><td>9<\/td><td>II<\/td><td>1<\/td><td>Beatrice Meini, Leonardo Robol, Cecilia Pagliantini<\/td><td><\/td><\/tr><tr><td>Elements of probability and statistics (Elementi di probabilit\u00e0 e statistica)<\/td><td>052AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>II<\/td><td>2<\/td><td>Mario Maurelli, Dario Trevisan<\/td><td><\/td><\/tr><tr><td>Geometry 2 (Geometria 2)<\/td><td>511AA<\/td><td>MAT\/03<\/td><td>12<\/td><td>II<\/td><td>Y<\/td><td>Roberto Frigerio, Mattia Talpo, Lorenzo Venturello<\/td><td><\/td><\/tr><tr><td>Scientific English (Inglese scientifico)<\/td><td>013ZW<\/td><td>LANGUAGE<\/td><td>6<\/td><td>II<\/td><td>1<\/td><td>Jonathan L. Kay<\/td><td><\/td><\/tr><tr><td>Algebra 2 (Algebra 2)<\/td><td>038AA<\/td><td>MAT\/02<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Enrico Sbarra, Andrea Bandini<\/td><td><\/td><\/tr><tr><td>Mathematical analysis 3 (Analisi matematica 3)<\/td><td>547AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>III<\/td><td>1<\/td><td>Maria Stella Gelli, Carlo Carminati<\/td><td><\/td><\/tr><tr><td>Real analysis (Analisi reale)<\/td><td>740AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Valentino Magnani<\/td><td><\/td><\/tr><tr><td>Scientific Computing (Calcolo scientifico)<\/td><td>044AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>III<\/td><td>1<\/td><td>Stefano Massei, Leonardo Robol<\/td><td><\/td><\/tr><tr><td>Elements of complex analysis (Elementi di analisi complessa)<\/td><td>046AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Marco Abate<\/td><td><\/td><\/tr><tr><td>Elements of calculus of variations (Elementi di calcolo delle variazioni)<\/td><td>047AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Matteo Novaga, Emanuele Paolini<\/td><td><\/td><\/tr><tr><td>Elements of algebraic geometry (Elementi di geometria algebrica)<\/td><td>049AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>III<\/td><td>1<\/td><td>Rita Pardini<\/td><td><\/td><\/tr><tr><td>Elements of celestial mechanics (Elementi di meccanica celeste)<\/td><td>051AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Giacomo Tommei, Giulio Ba\u00f9<\/td><td><\/td><\/tr><tr><td>Elements of Set Theory (Elementi di teoria degli insiemi)<\/td><td>053AA<\/td><td>MAT\/01<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Mauro Di Nasso, Rosario Mennuni<\/td><td><\/td><\/tr><tr><td>Elements of algebraic topology (Elementi di topologia algebrica)<\/td><td>054AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>III<\/td><td>1<\/td><td>Filippo Gianluca Callegaro<\/td><td><\/td><\/tr><tr><td>Partial differential equations (Equazioni alle derivate parziali)<\/td><td>545AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Vladimir Gueorguiev<\/td><td><\/td><\/tr><tr><td>Physics II (Fisica II)<\/td><td>242BB<\/td><td>FIS\/02<\/td><td>9<\/td><td>III<\/td><td>1<\/td><td>Alessandro Strumia<\/td><td><\/td><\/tr><tr><td>Physics III (Fisica III)<\/td><td>243BB<\/td><td>FIS\/01<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Marco Sozzi<\/td><td><\/td><\/tr><tr><td>Differential geometry and topology (Geometria e topologia differenziale)<\/td><td>055AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>III<\/td><td>1<\/td><td>Paolo Lisca<\/td><td><\/td><\/tr><tr><td>Groups and representations (Gruppi e rappresentazioni)<\/td><td>057AA<\/td><td>MAT\/02<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Alessandro Iraci, Michele D&#8217;Adderio<\/td><td><\/td><\/tr><tr><td>Computational laboratory (Laboratorio computazionale)<\/td><td>058AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>III<\/td><td>Y<\/td><td>Beatrice Meini<\/td><td><\/td><\/tr><tr><td>Experimental laboratory of computational mathematics (Laboratorio sperimentale di matematica computazionale)<\/td><td>062AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Fabio Durastante<\/td><td><\/td><\/tr><tr><td>Programming languages with laboratory (Linguaggi di programmazione con laboratorio)<\/td><td>063AA<\/td><td>INF\/01<\/td><td>9<\/td><td>III<\/td><td>2<\/td><td>Roberta Gori, Vincenzo Ciancia<\/td><td><\/td><\/tr><tr><td>Mathematical Logic (Logica matematica)<\/td><td>064AA<\/td><td>MAT\/01<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Marcello Mamino, Rosario Mennuni<\/td><td><\/td><\/tr><tr><td>Elementary mathematics from an advanced standpoint: geometry (Matematiche elementari da un punto di vista superiore: geometria)<\/td><td>066AA<\/td><td>MAT\/04<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Alberto Cogliati<\/td><td><\/td><\/tr><tr><td>Rational Mechanics (Meccanica razionale)<\/td><td>575AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Giovanni F. Gronchi, Giacomo Lari<\/td><td><\/td><\/tr><tr><td>Numerical Methods for Ordinary Differential Equations (Metodi numerici per equazioni differenziali ordinarie)<\/td><td>067AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Leonardo Robol<\/td><td><\/td><\/tr><tr><td>Probability (Probabilit\u00e0)<\/td><td>070AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>III<\/td><td>1<\/td><td>Marco Romito, Rita Giuliano<\/td><td><\/td><\/tr><tr><td>Operational research (Ricerca operativa)<\/td><td>072AA<\/td><td>MAT\/09<\/td><td>6<\/td><td>III<\/td><td>1<\/td><td>Maria Grazia Scutell\u00e0<\/td><td><\/td><\/tr><tr><td>Dynamical systems (Sistemi dinamici)<\/td><td>074AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>III<\/td><td>1<\/td><td>Claudio Bonanno, Roberto Castorrini<\/td><td><\/td><\/tr><tr><td>Sobolev spaces (Spazi di Sobolev)<\/td><td>794AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Bozhidar Velichkov<\/td><td><\/td><\/tr><tr><td>Mathematical statistics (Statistica matematica)<\/td><td>075AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>III<\/td><td>2<\/td><td>Andrea Agazzi, Aikaterini Papagiannouli<\/td><td><\/td><\/tr><tr><td>History of Mathematics (Storia della matematica)<\/td><td>076AA<\/td><td>MAT\/04<\/td><td>6<\/td><td>III<\/td><td>1<\/td><td>Alberto Cogliati<\/td><td><\/td><\/tr><tr><td>Elementary number theory (Teoria dei numeri elementare)<\/td><td>080AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>III<\/td><td>1<\/td><td>Giuseppe Puglisi<\/td><td><\/td><\/tr><tr><td>Higher algebra A (Algebra superiore A)<\/td><td>087AA<\/td><td>MAT\/02<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Enrico Sbarra<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Harmonic analysis (Analisi armonica)<\/td><td>090AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Jacopo Bellazzini<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Complex analysis B (Analisi complessa B)<\/td><td>092AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Fabrizio Broglia<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Data Analysis (Analisi dei dati)<\/td><td>699AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Marco Romito, Aikaterini Papagiannouli<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1425\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gb.png\" alt=\"\"\/><\/td><\/tr><tr><td>Higher Analysis A (Analisi superiore A)<\/td><td>798AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Aldo Pratelli<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Higher Analysis B (Analisi superiore B)<\/td><td>799AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Nicola Visciglia<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Mathematical aspects in quantum computing (Aspetti matematici nella computazione quantistica)<\/td><td>796AA<\/td><td>MAT\/06+08<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Paola Boito, Dario Trevisan<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td> Calculus of variations A (Calcolo delle variazioni A)<\/td><td>096AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Giovanni Alberti<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Orbital determination (Determinazione orbitale)<\/td><td>101AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Giacomo Tommei<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Dynamics of the solar system (Dinamica del sistema solare)<\/td><td>580AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Giacomo Lari, Giulio Ba\u00f9<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Hyperbolic dynamics (Dinamica iperbolica)<\/td><td>105AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Gianluigi Del Magno<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Holomorphic dynamics (Dinamica olomorfa)<\/td><td>106AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Fabrizio Bianchi<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Stochastic differential equations and applications (Equazioni differenziali stocastiche e applicazioni)<\/td><td>555AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Mario Maurelli, Aikaterini Papagiannouli<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Elliptic equations (Equazioni ellittiche)<\/td><td>109AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Bozhidar Velichkov<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Math Physics (Fisica matematica)<\/td><td>111AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Claudio Bonanno<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Algebraic geometry B (Geometria algebrica B)<\/td><td>116AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Sandro Manfredini<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1429\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/it.png\" alt=\"\"\/><\/td><\/tr><tr><td>Algebraic geometry C (Geometria algebrica C)<\/td><td>117AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Marco Franciosi<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Complex differential geometry (Geometria differenziale complessa)<\/td><td>123AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Gregory J. Pearlstein<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1425\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gb.png\" alt=\"\"\/><\/td><\/tr><tr><td>Hyperbolic geometry (Geometria iperbolica)<\/td><td>125AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Andrea Tamburelli<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Riemannian geometry (Geometria riemanniana)<\/td><td>130AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Diego Conti<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Gruppi di Coxeter<\/td><td>132AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Michele D&#8217;Adderio, Mario Salvetti<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Principles of algebra (Istituzioni di algebra)<\/td><td>769AA<\/td><td>MAT\/02<\/td><td>11<\/td><td>M<\/td><td>1<\/td><td>Tam\u00e1s Szamuely<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1425\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gb.png\" alt=\"\"\/><\/td><\/tr><tr><td>Principles of mathematical analysis (Istituzioni di analisi matematica)<\/td><td>770AA<\/td><td>MAT\/05<\/td><td>11<\/td><td>M<\/td><td>1<\/td><td>Pietro Majer<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Principles of numerical analysis (Istituzioni di analisi numerica)<\/td><td>772AA<\/td><td>MAT\/08<\/td><td>11<\/td><td>M<\/td><td>2<\/td><td>Paola Boito, Beatrice Meini<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Principles of mathematics education (Istituzioni di didattica della matematica)<\/td><td>771AA<\/td><td>MAT\/04<\/td><td>11<\/td><td>M<\/td><td>1<\/td><td>Pietro Di Martino, Anna Baccaglini-Frank<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1429\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/it.png\" alt=\"\"\/><\/td><\/tr><tr><td>Fundamentals of mathematical physics (Istituzioni di fisica matematica)<\/td><td>774AA<\/td><td>MAT\/07<\/td><td>11<\/td><td>M<\/td><td>1<\/td><td>Giovanni F. Gronchi, Giulio Ba\u00f9<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Principles of geometry (Istituzioni di geometria)<\/td><td>768AA<\/td><td>MAT\/03<\/td><td>11<\/td><td>M<\/td><td>2<\/td><td>Bruno Martelli<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1429\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/it.png\" alt=\"\"\/><\/td><\/tr><tr><td>Principles of probability (Istituzioni di probabilit\u00e0)<\/td><td>773AA<\/td><td>MAT\/06<\/td><td>11<\/td><td>M<\/td><td>2<\/td><td>Dario Trevisan, Francesco Grotto<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Advanced mechanics (Meccanica superiore)<\/td><td>145AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Claudio Bonanno<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Approximation methods (Metodi di approssimazione)<\/td><td>146AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Federico Poloni<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Mathematical methods in Cryptography (Metodi matematici della crittografia)<\/td><td>147AA<\/td><td>MAT\/02<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Davide Lombardo<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Numerical methods for Markov chains (Metodi numerici per catene di Markov)<\/td><td>148AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Beatrice Meini<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1425\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gb.png\" alt=\"\"\/><\/td><\/tr><tr><td>Numerical methods for partial differential equations (Metodi numerici per equazioni alle derivate parziali)<\/td><td>795AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Luca Heltai<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Numerical methods for graphics (Metodi numerici per la grafica)<\/td><td>149AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Paola Boito<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Mathematical models in biomedicine and mathematical physics<\/td><td>559AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Vladimir Gueorguiev, Laura Manca<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Origins and development of modern mathematics (Origini e sviluppo delle matematiche moderne)<\/td><td>156AA<\/td><td>MAT\/04<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Pier Daniele Napolitani<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Problems and methods in Mathematics Education Research (Problemi e metodi della ricerca in didattica della matematica)<\/td><td>612AA<\/td><td>MAT\/04<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Mirko Maracci<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Advanced Statistics (*) (Statistica superiore (*))<\/td><td>669AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Marco Romito<\/td><td><\/td><\/tr><tr><td>Algebraic number theory 2 (Teoria algebrica dei numeri 2)<\/td><td>202AA<\/td><td>MAT\/02<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Ilaria Del Corso, Andrea Bandini<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Set Theory B (Teoria degli insiemi B)<\/td><td>778AA<\/td><td>MAT\/01<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Marco Forti<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><tr><td>Theory and methods of optimization (Teoria e metodi dell&#8217;ottimizzazione)<\/td><td>577AA<\/td><td>MAT\/09<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Massimo Pappalardo<\/td><td><\/td><\/tr><tr><td>Ultrafilters and nonstandard methods (Ultrafiltri e metodi non-standard)<\/td><td>230AA<\/td><td>MAT\/01<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Mauro Di Nasso<\/td><td><img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/><\/td><\/tr><\/tbody><\/table><\/figure>\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-9d6595d7 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\"><\/div>\n<\/div>\n\n<p>(*) Borrowed from the course \u201cStatistics II\u201d, code 750AA, active in the Engineering Management Master\u2019s Degree Course<\/p>\n\n<p id=\"progetto-speciale\"><strong>Special project for teaching<\/strong>: during the first semester, a &#8220;Laboratory for formalizing mathematical proofs using Lean software&#8221; was activated (6 CFU, valid for both Bachelor and Master degrees, as an &#8220;free choice exam&#8221;), with professors Alessandro Iraci, Davide Lombardo, Marcello Mamino.<\/p>\n\n<p><strong>Master&#8217;s Degree courses key<\/strong>: the symbol <img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1425\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gb.png\" alt=\"\"\/> means the course is given in English, the symbol <img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1427\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" alt=\"\"\/> means the course is usually given in Italian but professors can switch to English even upon a single person&#8217;s request, the symbol <img decoding=\"async\" width=\"32\" height=\"24\" class=\"wp-image-1429\" style=\"width: 32px;\" src=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/it.png\" alt=\"\"\/> means the course is given in Italian (professors can anyway offer help and bibliographic support to students who do not speak Italian and wish to attend).<\/p>\n\n<p><strong>IMPORTANT<\/strong>:\u00a0 Master&#8217;s Degree students can include two free-choice courses in their study plan. These courses can also be chosen from the course offer of other Master&#8217;s Degree courses or from Ph.D. courses from the University of Pisa (please see <a href=\"https:\/\/www.dm.unipi.it\/phd\/current-courses\">this link<\/a> for Ph.D. courses in Mathematics offered by our Department) or from Master&#8217;s Degree or Ph.D. courses from Scuola Normale Superiore.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Key Year: Term: English Course Title (Italian Course Title) Code Sector CFU\/ECTS Year Term Teachers Language Mathematical analysis 1 (Analisi&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/didattica\/en\/lectures-exams\/course-offer\/courses-for-academic-year-2023-24\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":166,"featured_media":0,"parent":672,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":"","_members_access_role":[],"_members_access_error":""},"class_list":["post-1814","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.0 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Courses for Academic Year 2023\/24 - Education<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.dm.unipi.it\/didattica\/en\/lectures-exams\/course-offer\/courses-for-academic-year-2023-24\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Courses for Academic Year 2023\/24 - Education\" \/>\n<meta property=\"og:description\" content=\"Key Year: Term: English Course Title (Italian Course Title) Code Sector CFU\/ECTS Year Term Teachers Language Mathematical analysis 1 (Analisi&hellip;Read More...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.dm.unipi.it\/didattica\/en\/lectures-exams\/course-offer\/courses-for-academic-year-2023-24\/\" \/>\n<meta property=\"og:site_name\" content=\"Education\" \/>\n<meta property=\"article:modified_time\" content=\"2024-03-04T14:59:54+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.dm.unipi.it\/didattica\/wp-content\/uploads\/sites\/3\/2022\/11\/gbit.png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/lectures-exams\\\/course-offer\\\/courses-for-academic-year-2023-24\\\/\",\"url\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/lectures-exams\\\/course-offer\\\/courses-for-academic-year-2023-24\\\/\",\"name\":\"Courses for Academic Year 2023\\\/24 - Education\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/lectures-exams\\\/course-offer\\\/courses-for-academic-year-2023-24\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/lectures-exams\\\/course-offer\\\/courses-for-academic-year-2023-24\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/wp-content\\\/uploads\\\/sites\\\/3\\\/2022\\\/11\\\/gbit.png\",\"datePublished\":\"2023-02-22T08:16:39+00:00\",\"dateModified\":\"2024-03-04T14:59:54+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/lectures-exams\\\/course-offer\\\/courses-for-academic-year-2023-24\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/lectures-exams\\\/course-offer\\\/courses-for-academic-year-2023-24\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/lectures-exams\\\/course-offer\\\/courses-for-academic-year-2023-24\\\/#primaryimage\",\"url\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/wp-content\\\/uploads\\\/sites\\\/3\\\/2022\\\/11\\\/gbit.png\",\"contentUrl\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/wp-content\\\/uploads\\\/sites\\\/3\\\/2022\\\/11\\\/gbit.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/lectures-exams\\\/course-offer\\\/courses-for-academic-year-2023-24\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Lectures &#038; 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