{"id":912,"date":"2022-04-14T07:50:08","date_gmt":"2022-04-14T05:50:08","guid":{"rendered":"https:\/\/www.dm.unipi.it\/didattica\/?page_id=912"},"modified":"2025-11-25T15:48:52","modified_gmt":"2025-11-25T14:48:52","slug":"courses-for-academic-year-2019-20","status":"publish","type":"page","link":"https:\/\/www.dm.unipi.it\/didattica\/en\/lectures-exams\/course-offer\/courses-for-academic-year-2019-20\/","title":{"rendered":"Courses for Academic Year 2019\/20"},"content":{"rendered":"\n<p><strong><u>Key<\/u><\/strong><\/p>\n\n\n\n<p><strong>Year:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>1 = course of the first year of the Bachelor&#8217;s Degree<\/li><li>2 = course of the second year of the Bachelor&#8217;s Degree<\/li><li>3 = course of the third year of the Bachelor&#8217;s Degree or shared between Bachelor&#8217;s and Master&#8217;s Degree<\/li><li>M = course of the Master&#8217;s Degree<\/li><\/ul>\n\n\n\n<p><strong>Term:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>1 = course of the first term<\/li><li>2 = course of the second term<\/li><li>FY = full-year course<\/li><\/ul>\n\n\n\n<p><em>Note.<\/em>&nbsp;The&nbsp;<strong>Web<\/strong>&nbsp;column contains the link to the official course page in the section &#8220;Syllabi&#8221; at&nbsp;<a href=\"https:\/\/esami.unipi.it\/setlang.php?lang=en\">esami.unipi.it<\/a>.<\/p>\n\n\n\n<figure class=\"wp-block-table is-style-stripes\"><table><tbody><tr><td><strong>English Name<br><em>Italian name<\/em><\/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><strong>Teachers<\/strong><\/td><td><strong>Web<\/strong><\/td><\/tr><tr><td>Arithmetic<br><em>Aritmetica<\/em><\/td><td>015AA<\/td><td>MAT\/02<\/td><td>9<\/td><td>1<\/td><td>1<\/td><td>Ilaria Del Corso, Davide Lombardo<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41157&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Fundaments of programming with laboratory<br><em>Fondamenti di programmazione con laboratorio<\/em><\/td><td>017AA<\/td><td>INF\/01<\/td><td>9<\/td><td>1<\/td><td>1<\/td><td>Chiara Bodei, Nadia Pisanti, Nicola Prezza, Jacopo Soldani<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41178&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Geometry 1<br><em>Geometria 1<\/em><\/td><td>614AA<\/td><td>MAT\/03<\/td><td>15<\/td><td>1<\/td><td>FY<\/td><td>Riccardo Benedetti, Sandro Manfredini<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41188&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Laboratory of communication through computer<br><em>Laboratorio di comunicazione mediante calcolatore<\/em><\/td><td>019AA<\/td><td>INF\/01<\/td><td>3<\/td><td>1<\/td><td>1<\/td><td>Leonardo Robol, Sergio Steff\u00e8<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41155&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Mathematical analysis 1<br><em>Analisi matematica 1<\/em><\/td><td>561AA<\/td><td>MAT\/05<\/td><td>15<\/td><td>1<\/td><td>FY<\/td><td>Matteo Novaga<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41179&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Physics I with laboratory<br><em>Fisica I con laboratorio<\/em><\/td><td>241BB<\/td><td>FIS\/02<\/td><td>9<\/td><td>1<\/td><td>2<\/td><td>Ignazio Bombaci, Domenico Logoteta<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41182&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Algebra 1<br><em>Algebra 1<\/em><\/td><td>037AA<\/td><td>MAT\/02<\/td><td>6<\/td><td>2<\/td><td>1<\/td><td>Giovanni Gaiffi, Filippo G. Callegaro<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41171&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Algorithms and data structure<br><em>Algoritmi e strutture dei dati<\/em><\/td><td>039AA<\/td><td>INF\/01<\/td><td>6<\/td><td>2<\/td><td>2<\/td><td>Lidia Pagli, Roberto Grossi<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41175&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Didactics laboratory of computational mathematics<br><em>Laboratorio didattico di matematica computazionale<\/em><\/td><td>099ZW<\/td><td>NN<\/td><td>3<\/td><td>2<\/td><td>2<\/td><td>Paola Boito<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=40524&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Elements of probability and statistics<br><em>Elementi di probabilit\u00e0 e statistica<\/em><\/td><td>052AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>2<\/td><td>2<\/td><td>Marco Romito, Maurizia Rossi<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41165&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Geometry 2<br><em>Geometria 2<\/em><\/td><td>511AA<\/td><td>MAT\/03<\/td><td>12<\/td><td>2<\/td><td>FY<\/td><td>Roberto Frigerio, Jacopo Gandini<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41170&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Mathematical analysis 2<br><em>Analisi matematica 2<\/em><\/td><td>546AA<\/td><td>MAT\/05<\/td><td>12<\/td><td>2<\/td><td>FY<\/td><td>Pietro Majer<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41186&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Numerical analysis with laboratory<br><em>Analisi numerica con laboratorio<\/em><\/td><td>043AA<\/td><td>MAT\/08<\/td><td>9<\/td><td>2<\/td><td>1<\/td><td>Dario A. Bini, Beatrice Meini, Lidia Aceto, Leonardo Robol<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41181&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Scientific English<br><em>Inglese scientifico<\/em><\/td><td>013ZW<\/td><td>LINGUA<\/td><td>6<\/td><td>2<\/td><td>1<\/td><td>Alessandra Meoni<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41162&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Algebra 2<br><em>Algebra 2<\/em><\/td><td>038AA<\/td><td>MAT\/02<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Enrico Sbarra, Andrea Bandini<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41166&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Algebraic number theory 1<br><em>Teoria algebrica dei numeri 1<\/em><\/td><td>077AA<\/td><td>MAT\/02<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Ilaria Del Corso, Roberto Dvornicich<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41419&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Computational laboratory<br><em>Laboratorio computazionale<\/em><\/td><td>058AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>3<\/td><td>FY<\/td><td>Beatrice Meini, Paola Boito, Lidia Aceto<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41156&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Differential geometry and topology<br><em>Geometria e topologia differenziale<\/em><\/td><td>055AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>3<\/td><td>1<\/td><td>Enrico Le Donne<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41163&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Dynamical systems<br><em>Sistemi dinamici<\/em><\/td><td>074AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>3<\/td><td>1<\/td><td>Claudio Bonanno, Stefano Mar\u00f2<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41164&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Elementary mathematics from an advanced standpoint: arithmetic<br><em>Matematiche elementari da un punto di vista superiore: aritmetica<\/em><\/td><td>065AA<\/td><td>MAT\/04<\/td><td>6<\/td><td>3<\/td><td>1<\/td><td>Alberto Cogliati<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=44331&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Elementary mathematics from an advanced standpoint: geometry<br><em>Matematiche elementari da un punto di vista superiore: geometria<\/em><\/td><td>066AA<\/td><td>MAT\/04<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Alberto Cogliati<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=44332&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Elementary number theory<br><em>Teoria dei numeri elementare<\/em><\/td><td>080AA<\/td><td>MAT\/02<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Giuseppe Puglisi<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41180&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Elements of algebraic geometry<br><em>Elementi di geometria algebrica<\/em><\/td><td>049AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Marco Franciosi<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41172&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Elements of algebraic topology<br><em>Elementi di topologia algebrica<\/em><\/td><td>054AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Tam\u00e1s Szamuely<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41400&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Elements of calculus of variations<br><em>Elementi di calcolo delle variazioni<\/em><\/td><td>047AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Aldo Pratelli<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41168&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Elements of celestial mechanics<br><em>Elementi di meccanica celeste<\/em><\/td><td>051AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>3<\/td><td>1<\/td><td>Giacomo Tommei<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41173&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Elements of complex analysis<br><em>Elementi di analisi complessa<\/em><\/td><td>046AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Marco Abate<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41154&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Elements of set theory<br><em>Elementi di teoria degli insiemi<\/em><\/td><td>053AA<\/td><td>MAT\/01<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Mauro Di Nasso<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41174&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Experimental laboratory of computational mathematics<br><em>Laboratorio sperimentale di matematica computazionale<\/em><\/td><td>062AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Leonardo Robol, Dario A. Bini<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41169&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>History of mathematics<br><em>Storia della matematica<\/em><\/td><td>076AA<\/td><td>MAT\/04<\/td><td>6<\/td><td>3<\/td><td>1<\/td><td>Pier Daniele Napolitani<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41158&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Mathematical analysis 3<br><em>Analisi matematica 3<\/em><\/td><td>547AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>3<\/td><td>1<\/td><td>Giovanni Alberti<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41187&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Mathematical logic<br><em>Logica matematica<\/em><\/td><td>064AA<\/td><td>MAT\/01<\/td><td>6<\/td><td>3<\/td><td>1<\/td><td>Alessandro Berarducci<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41176&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Mathematical statistics<br><em>Statistica matematica<\/em><\/td><td>075AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Rita Giuliano<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41167&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Numerical methods for ordinary differential equations<br><em>Metodi numerici per equazioni differenziali ordinarie<\/em><\/td><td>067AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Cecilia Magherini<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41152&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Operational research<br><em>Ricerca operativa<\/em><\/td><td>072AA<\/td><td>MAT\/09<\/td><td>6<\/td><td>3<\/td><td>1<\/td><td>Antonio Frangioni<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41159&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Partial differential equations<br><em>Equazioni alle derivate parziali<\/em><\/td><td>545AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Nicola Visciglia<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41184&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Physics II<br><em>Fisica II<\/em><\/td><td>242BB<\/td><td>FIS\/02<\/td><td>9<\/td><td>3<\/td><td>1<\/td><td>Alessandro Strumia<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=44275&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Physics III<br><em>Fisica III<\/em><\/td><td>243BB<\/td><td>FIS\/01<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Marco S. Sozzi<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41183&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Probability<br><em>Probabilit\u00e0<\/em><\/td><td>070AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>3<\/td><td>1<\/td><td>Dario Trevisan, Maurizia Rossi<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41161&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Programming languages with laboratory<br><em>Linguaggi di programmazione con laboratorio<\/em><\/td><td>063AA<\/td><td>INF\/01<\/td><td>9<\/td><td>3<\/td><td>2<\/td><td>Marco Bellia<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41153&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Rational mechanics<br><em>Meccanica razionale<\/em><\/td><td>575AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Giovanni F. Gronchi, Stefano Mar\u00f2<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41185&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Scientific computing<br><em>Calcolo scientifico<\/em><\/td><td>044AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>3<\/td><td>1<\/td><td>Lidia Aceto, Dario A. Bini<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41160&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Topological methods in the global analysis<br><em>Metodi topologici in analisi globale<\/em><\/td><td>068AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>3<\/td><td>2<\/td><td>Antonio Marino<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41177&amp;aa=2019&amp;cid=9&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Advanced probability<br><em>Probabilit\u00e0 superiore<\/em><\/td><td>560AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Maurizia Rossi, Dario Trevisan<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41423&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Advanced statistics (*)<br><em>Statistica superiore<\/em><\/td><td>669AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Marco Romito<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=44296&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Algebraic geometry B<br><em>Geometria algebrica B<\/em><\/td><td>116AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Sandro Manfredini<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41395&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Algebraic geometry D<br><em>Geometria algebrica D<\/em><\/td><td>118AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Rita Pardini<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41418&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Algebraic topology<br><em>Topologia algebrica<\/em><\/td><td>226AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Mario Salvetti<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41406&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Approximation methods<br><em>Metodi di approssimazione<\/em><\/td><td>146AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Federico G. Poloni<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41402&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Category theory<br><em>Teoria delle categorie<\/em><\/td><td>220AA<\/td><td>MAT\/01<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Valerio Melani<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41430&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Complex analysis A<br><em>Analisi complessa A<\/em><\/td><td>091AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Fabrizio Broglia<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41429&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Convex analysis<br><em>Analisi convessa<\/em><\/td><td>093AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Claudio Saccon<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41422&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Data analysis<br><em>Analisi dei dati<\/em><\/td><td>699AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Marco Romito<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41431&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Elliptic equations<br><em>Equazioni ellittiche<\/em><\/td><td>109AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Antonio Tarsia<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41413&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Financial mathematics<br><em>Finanza matematica<\/em><\/td><td>110AA<\/td><td>MAT\/06<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Maurizio Pratelli<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41410&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Fundamentals of mathematical physics<br><em>Istituzioni di fisica matematica<\/em><\/td><td>137AA<\/td><td>MAT\/07<\/td><td>9<\/td><td>M<\/td><td>1<\/td><td>Giovanni F. Gronchi, Giulio Ba\u00f9<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41407&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Game theory<br><em>Teoria dei giochi<\/em><\/td><td>211AA<\/td><td>MAT\/09<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Giancarlo Bigi<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41416&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Geometric measure theory<br><em>Teoria geometrica della misura<\/em><\/td><td>225AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Giovanni Alberti<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41415&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Harmonic analysis<br><em>Analisi armonica<\/em><\/td><td>090AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Vladimir S. Georgiev<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41411&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Higher algebra A<br><em>Algebra superiore A<\/em><\/td><td>087AA<\/td><td>MAT\/02<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Enrico Sbarra<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41405&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Higher analysis<br><em>Analisi superiore<\/em><\/td><td>527AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Vieri Benci<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41420&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>History of ancient mathematics and its tradition<br><em>Storia della matematica antica e della sua tradizione<\/em><\/td><td>186AA<\/td><td>MAT\/04<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Pier Daniele Napolitani<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41408&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Low-dimensional topology and geometry<br><em>Topologia e geometria in bassa dimensione<\/em><\/td><td>228AA<\/td><td>MAT\/03<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Paolo Lisca<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41397&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Math Physics<br><em>Fisica matematica<\/em><\/td><td>111AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Claudio Bonanno, Stefano Mar\u00f2<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41421&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Model theory<br><em>Teoria dei modelli<\/em><\/td><td>213AA<\/td><td>MAT\/01<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Alessandro Berarducci, Marcello Mamino<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41426&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Numerical methods for graphics<br><em>Metodi numerici per la grafica<\/em><\/td><td>149AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Paola Boito<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41428&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Numerical methods for Markov chains<br><em>Metodi numerici per catene di Markov<\/em><\/td><td>148AA<\/td><td>MAT\/08<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Beatrice Meini<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41404&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Orbital determination<br><em>Determinazione orbitale<\/em><\/td><td>101AA<\/td><td>MAT\/07<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Giovanni F. Gronchi<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41396&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Post-quantum cryptography<br><em>Crittografia post-quantistica<\/em><\/td><td>703AA<\/td><td>MAT\/02<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Patrizia Gianni, Carlo Traverso<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41432&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Principles of algebra<br><em>Istituzioni di algebra<\/em><\/td><td>134AA<\/td><td>MAT\/02<\/td><td>9<\/td><td>M<\/td><td>1<\/td><td>Andrea Maffei<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41398&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Principles of geometry<br><em>Istituzioni di geometria<\/em><\/td><td>138AA<\/td><td>MAT\/03<\/td><td>9<\/td><td>M<\/td><td>2<\/td><td>Bruno Martelli<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41414&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Principles of mathematical analysis<br><em>Istituzioni di analisi matematica<\/em><\/td><td>135AA<\/td><td>MAT\/05<\/td><td>9<\/td><td>M<\/td><td>1<\/td><td>Massimo Gobbino<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41412&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Principles of mathematics education<br><em>Istituzioni di didattica della matematica<\/em><\/td><td>576AA<\/td><td>MAT\/04<\/td><td>9<\/td><td>M<\/td><td>1<\/td><td>Pietro Di Martino, Anna E. Baccaglini-Frank<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41425&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Principles of numerical analysis<br><em>Istituzioni di analisi numerica<\/em><\/td><td>136AA<\/td><td>MAT\/08<\/td><td>9<\/td><td>M<\/td><td>2<\/td><td>Dario A. Bini, Beatrice Meini<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41401&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Principles of probability<br><em>Istituzioni di probabilit\u00e0<\/em><\/td><td>529AA<\/td><td>MAT\/06<\/td><td>9<\/td><td>M<\/td><td>2<\/td><td>Marco Romito<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41417&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Real analysis<br><em>Analisi reale<\/em><\/td><td>551AA<\/td><td>MAT\/05<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Valentino Magnani<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41427&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Set theory<br><em>Teoria degli insiemi<\/em><\/td><td>208AA<\/td><td>MAT\/01<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Marco Forti<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41403&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Technologies for education<br><em>Tecnologie per la didattica<\/em><\/td><td>201AA<\/td><td>MAT\/04<\/td><td>6<\/td><td>M<\/td><td>2<\/td><td>Giuseppe Fiorentino<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41399&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><tr><td>Theory and methods of optimization<br><em>Teoria e metodi dell&#8217;ottimizzazione<\/em><\/td><td>577AA<\/td><td>MAT\/09<\/td><td>6<\/td><td>M<\/td><td>1<\/td><td>Giancarlo Bigi<\/td><td><a href=\"https:\/\/esami.unipi.it\/programma.php?c=41424&amp;aa=2019&amp;cid=20&amp;did=20\">link<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>(*) Borrowed from the module &#8220;Statistics II&#8221; of the course &#8220;Operational research II and statistics II&#8221;, code 456AA, active in the Engineering Management Master&#8217;s Degree Course<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Key Year: 1 = course of the first year of the Bachelor&#8217;s Degree 2 = course of the second year&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-2019-20\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":2,"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-912","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 2019\/20 - 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-2019-20\/\" \/>\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 2019\/20 - Education\" \/>\n<meta property=\"og:description\" content=\"Key Year: 1 = course of the first year of the Bachelor&#8217;s Degree 2 = course of the second year&hellip;Read More...\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.dm.unipi.it\/didattica\/en\/lectures-exams\/course-offer\/courses-for-academic-year-2019-20\/\" \/>\n<meta property=\"og:site_name\" content=\"Education\" \/>\n<meta property=\"article:modified_time\" content=\"2025-11-25T14:48:52+00:00\" \/>\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-2019-20\\\/\",\"url\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/lectures-exams\\\/course-offer\\\/courses-for-academic-year-2019-20\\\/\",\"name\":\"Courses for Academic Year 2019\\\/20 - Education\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/#website\"},\"datePublished\":\"2022-04-14T05:50:08+00:00\",\"dateModified\":\"2025-11-25T14:48:52+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/lectures-exams\\\/course-offer\\\/courses-for-academic-year-2019-20\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/lectures-exams\\\/course-offer\\\/courses-for-academic-year-2019-20\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.dm.unipi.it\\\/didattica\\\/en\\\/lectures-exams\\\/course-offer\\\/courses-for-academic-year-2019-20\\\/#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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