{"id":630,"date":"2022-02-04T22:26:07","date_gmt":"2022-02-04T21:26:07","guid":{"rendered":"https:\/\/www.dm.unipi.it\/didattica\/masters-degree\/programmes-of-study-masters-degree\/"},"modified":"2025-11-27T12:02:59","modified_gmt":"2025-11-27T11:02:59","slug":"study-plan","status":"publish","type":"page","link":"https:\/\/www.dm.unipi.it\/didattica\/en\/masters-degree\/study-plan\/","title":{"rendered":"Study Plan"},"content":{"rendered":"\n<p class=\"has-text-align-justify\"><p data-start=\"79\" data-end=\"421\"><strong data-start=\"79\" data-end=\"167\">Each student is required to submit their study plan by November 30 of the first year<\/strong> (or within one month of enrollment, if this occurs after that date).<br data-start=\"236\" data-end=\"239\"\/>To prepare their personal study plan, students must use the <a href=\"https:\/\/caps.dm.unipi.it\/dashboard\" target=\"_blank\" rel=\"noopener\"><strong data-start=\"299\" data-end=\"317\">CAPS interface<\/strong><\/a>, accessible with their university credentials. The plan will then be evaluated by the Career Committee.&#13;\nA study plan may be submitted multiple times during the academic career, but submissions are allowed <strong data-start=\"524\" data-end=\"588\">only within the following three windows of the academic year:<\/strong><\/p><\/p>\n\n<ul class=\"wp-block-list\">\n<li><strong>1 September &#8211; 30 November;<\/strong><\/li>\n\n\n\n<li><strong>1 February &#8211; 31 March<\/strong>;<\/li>\n\n\n\n<li><strong>1 June &#8211; 30 June.<\/strong><\/li>\n<\/ul>\n\n<p>Any study plan submitted outside these periods will remain pending and will be evaluated during the next available submission window. In urgent or exceptional cases, students may request early evaluation from the <a href=\"https:\/\/www.dm.unipi.it\/didattica\/en\/collegial-bodies-and-minutes\/\" rel=\"noopener\">President of the Degree Programme<\/a>.<\/p>\n\n<p>The Committee also requires that study plans be countersigned through CAPS (after submitting the study plan in CAPS, use the \u201crequest review\u201d button) by one of the following curriculum advisors, who will verify its coherence:<\/p>\n\n<ul class=\"wp-block-list\">\n<li><strong>Logic:<\/strong> <a href=\"https:\/\/www.dm.unipi.it\/en\/person-details\/?person_id=63860dd5f6c76fe5b717c7cb\" target=\"_blank\" rel=\"noopener\">Alessandro Berarducci<\/a><br\/><!-- (linee guida)--><\/li>\n\n\n\n<li><strong>Algebra:<\/strong> <a href=\"https:\/\/www.dm.unipi.it\/en\/person-details\/?person_id=63860dd5f6c76fe5b717c7d4\" target=\"_blank\" rel=\"noopener\">Ilaria Del Corso<\/a><br\/><!-- (linee guida)--><\/li>\n\n\n\n<li><strong>Geometry:<\/strong> <a href=\"https:\/\/www.dm.unipi.it\/en\/person-details\/?person_id=63cef88a0570144d28d41d9f\" target=\"_blank\" rel=\"noreferrer noopener\">Riccardo Benedetti<\/a><\/li>\n\n\n\n<li><strong>Mathematics education:<\/strong> <a href=\"https:\/\/www.dm.unipi.it\/en\/person-details\/?person_id=63860dd5f6c76fe5b717c7b2\" target=\"_blank\" rel=\"noopener\">Pietro Di Martino<\/a><br\/><!-- (linee guida)--><\/li>\n\n\n\n<li><strong>Mathematical analysis:<\/strong> <a href=\"https:\/\/www.dm.unipi.it\/en\/person-details\/?person_id=63822bbf7942943d6350d690\" target=\"_blank\" rel=\"noopener\">Giovanni Alberti<\/a><br\/><!-- (linee guida)--><\/li>\n\n\n\n<li><strong>Probability and statistics:<\/strong> <a href=\"https:\/\/www.dm.unipi.it\/en\/person-details\/?person_id=63860dd5f6c76fe5b717c83a\" target=\"_blank\" rel=\"noopener\">Marco Romito<\/a><br\/><!-- (linee guida)--><\/li>\n\n\n\n<li><strong>Mathematical physics:<\/strong> <a href=\"https:\/\/www.dm.unipi.it\/en\/person-details\/?person_id=63860dd5f6c76fe5b717c7cd\" target=\"_blank\" rel=\"noopener\">Giovanni Federico Gronchi<\/a><br\/><!-- (linee guida)--><\/li>\n\n\n\n<li><strong>Numerical analysis:<\/strong> <a href=\"https:\/\/www.dm.unipi.it\/en\/person-details\/?person_id=63ad6169e91c8d0f758ad434\" target=\"_blank\" rel=\"noreferrer noopener\">Stefano Massei<\/a><\/li>\n\n\n\n<li><strong>Operational research:<\/strong> <a href=\"https:\/\/www.dm.unipi.it\/en\/person-details\/?person_id=63cef8880570144d28d41c80\" target=\"_blank\" rel=\"noreferrer noopener\">Giancarlo Bigi<\/a><\/li>\n<\/ul>\n\n<p>If the study plan does not fall under any curriculum, or in other special cases, it may also be countersigned by the Chair of the Joint Board of Study Programs.<br data-start=\"1716\" data-end=\"1719\"\/>If a student wishes to submit a <strong data-start=\"1751\" data-end=\"1779\">free (custom) study plan<\/strong>, they must email <a href=\"https:\/\/www.dm.unipi.it\/didattica\/en\/collegial-bodies-and-minutes\/\">the President of the Study Programmes<\/a> explaining the reasons for the request.<\/p>\n\n<p>The Master\u2019s Degree Program in Mathematics is organized into five curricula:<\/p>\n\n<ul class=\"wp-block-list\">\n<li><strong>Applied<\/strong> Curriculum;<\/li>\n\n\n\n<li><strong>Educational <\/strong>Curriculum;<\/li>\n\n\n\n<li><strong>General <\/strong>Curriculum;<\/li>\n\n\n\n<li><strong>Modelling <\/strong>Curriculum;<\/li>\n\n\n\n<li><strong>Theoretical\u00a0<\/strong>Curriculum.<\/li>\n<\/ul>\n\n<p>Curriculum selection takes place when submitting the study plan.<\/p>\n\n<p>To modify an already approved study plan, it is sufficient to submit a new one.<br data-start=\"2302\" data-end=\"2305\"\/>Similarly, if a student wishes to change their curriculum, they may simply submit a new study plan with the updated curriculum.<br data-start=\"2432\" data-end=\"2435\"\/>Changes to the study plan and curriculum take effect <strong data-start=\"2488\" data-end=\"2517\">immediately upon approval<\/strong>.<\/p>\n\n<p>New study plans must, however, be submitted well in advance of the intended graduation date.<\/p>\n\n<p>The valid study plan is always the latest submitted and approved.<\/p>\n\n<p><strong data-start=\"2685\" data-end=\"2699\">IMPORTANT:<\/strong> It is essential to select the option corresponding to one\u2019s own year of enrollment.<br data-start=\"2783\" data-end=\"2786\"\/>For earlier enrollments or for additional details, please refer to the curriculum framework of the Master\u2019s Degree Program on <a href=\"https:\/\/www.dm.unipi.it\/didattica\/en\/masters-degree\/curriculum-framework\/\">the dedicated webpage<\/a>.<\/p>\n\n<div class=\"wp-block-pb-accordion-item c-accordion__item js-accordion-item no-js\" data-initially-open=\"false\" data-click-to-close=\"true\" data-auto-close=\"false\" data-scroll=\"false\" data-scroll-offset=\"0\"><h4 id=\"at-2580\" class=\"c-accordion__title js-accordion-controller\" role=\"button\">Students enrolled from A.Y. 2022\/23 onward<\/h4><div id=\"ac-2580\" class=\"c-accordion__content\">\n<table id=\"tablepress-12\" class=\"tablepress tablepress-id-12 tbody-has-connected-cells\">\n<thead>\n<tr class=\"row-1\">\n\t<td class=\"column-1\"><\/td><th class=\"column-2\"><strong>Curriculum Generale<\/strong><\/th><th class=\"column-3\"><strong>Curriculum Teorico<\/strong><\/th><th class=\"column-4\"><strong>Curriculum Modellistico<\/strong><\/th><th class=\"column-5\"><strong>Curriculum Applicativo<\/strong><\/th><th class=\"column-6\"><strong>Curriculum Didattico<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td rowspan=\"8\" class=\"column-1\">I anno<\/td><td class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istappl\/\" target=\"_blank\">Esame a scelta nel gruppo IstAppl (11 CFU)<\/a><\/td><td class=\"column-3\">Istituzioni di algebra (11 CFU)<\/td><td class=\"column-4\">Istituzioni di probabilit\u00e0 (11 CFU)<\/td><td class=\"column-5\">Istituzioni di analisi numerica (11 CFU)<\/td><td class=\"column-6\">Istituzioni di didattica della matematica (11 CFU)<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istteor\/\" target=\"_blank\">Esame a scelta nel gruppo IstTeor (11 CFU)<\/a><\/td><td colspan=\"2\" class=\"column-3\">Istituzioni di analisi matematica (11 CFU)<\/td><td class=\"column-5\">Istituzioni di fisica matematica (11 CFU)<\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istteor\/\" target=\"_blank\">Esame a scelta nel gruppo IstTeor (11 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modteor\/\" target=\"_blank\">Esame a scelta nel gruppo ModTeor (6 CFU)<\/a><\/td><td colspan=\"3\" class=\"column-3\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modappl\/\" target=\"_blank\">Esame a scelta nel gruppo ModAppl (6 CFU)<\/a><\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-moddidstor\/\" target=\"_blank\">Esame a scelta nel gruppo ModDidStor (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td colspan=\"2\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modteor\/\" target=\"_blank\">Esame a scelta nel gruppo ModTeor (6 CFU)<\/a><\/td><td colspan=\"2\" class=\"column-4\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modappl\/\" target=\"_blank\">Esame a scelta nel gruppo ModAppl (6 CFU)<\/a><\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-moddidstor\/\" target=\"_blank\">Esame a scelta nel gruppo ModDidStor (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modteor\/\" target=\"_blank\">Esame a scelta nel gruppo ModTeor (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-7\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modteor\/\" target=\"_blank\">Esame a scelta nel gruppo ModTeor (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-8\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-9\">\n\t<td colspan=\"5\" class=\"column-2\">Attivit\u00e0 a scelta dello studente (6 CFU)<\/td>\n<\/tr>\n<tr class=\"row-10\">\n\t<td rowspan=\"6\" class=\"column-1\">II anno<\/td><td class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-isttot\/\" target=\"_blank\">Esame a scelta nel gruppo IstTot (11 CFU)<\/a><\/td><td class=\"column-3\">Istituzioni di geometria (11 CFU)<\/td><td class=\"column-4\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istfisnum\/\" target=\"_blank\">Esame a scelta nel gruppo IstFisNum (11 CFU)<\/a><\/td><td class=\"column-5\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istteor\/\" target=\"_blank\">Esame a scelta nel gruppo IstTeor (11 CFU)<\/a><\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istappteor\/\" target=\"_blank\">Esame a scelta nel gruppo IstAppTeor (11 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-11\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-12\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-13\">\n\t<td colspan=\"4\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint2\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt2 (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-14\">\n\t<td colspan=\"5\" class=\"column-2\">Attivit\u00e0 a scelta dello studente (6 CFU)<\/td>\n<\/tr>\n<tr class=\"row-15\">\n\t<td colspan=\"5\" class=\"column-2\"><strong>Prova finale (27 CFU)<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-12 from cache -->\n\n\n\n<p><strong>Notes<\/strong>:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Bachelor\u2019s graduates in Mathematics from the University of Pisa who enroll in the Master\u2019s Degree from A.Y. 2022\/23 onward and choose the Theoretical Curriculum must take at least one MAT\/01 (Logic) exam during their five-year academic path (Bachelor\u2019s + Master\u2019s).<\/li>\n\n\n\n<li>Students enrolling in the Master\u2019s from A.Y. 2022\/23 onward who choose the Didactic Curriculum, and select a theoretical institution in the IstAppTeor group, must include in their study plan at least one 6-credit applied exam (MAT\/06\/07\/08\/09).<\/li>\n\n\n\n<li>For Bachelor\u2019s graduates in Mathematics from Pisa enrolling in the Master\u2019s from A.Y. 2022\/23, the following exams are required (unless already included in the Bachelor\u2019s study plan):\n<ul class=\"wp-block-list\">\n<li>For students choosing any curriculum other than Applied, three exams chosen from:\n<ul class=\"wp-block-list\">\n<li>Elements of Set Theory<\/li>\n\n\n\n<li>Algebra 2;<\/li>\n\n\n\n<li>Mathematical Analysis 3<\/li>\n\n\n\n<li>Probability;<\/li>\n\n\n\n<li>Differential Geometry and Topology;<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>For students choosing the Applied Curriculum, the exam Scientific Computing and three of the above-listed exams.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<\/div><\/div>\n\n<div class=\"wp-block-pb-accordion-item c-accordion__item js-accordion-item no-js\" data-initially-open=\"false\" data-click-to-close=\"true\" data-auto-close=\"false\" data-scroll=\"false\" data-scroll-offset=\"0\"><h4 id=\"at-2581\" class=\"c-accordion__title js-accordion-controller\" role=\"button\">Students enrolled in A.Y. 2021\/22<\/h4><div id=\"ac-2581\" class=\"c-accordion__content\">\n<table id=\"tablepress-13\" class=\"tablepress tablepress-id-13 tbody-has-connected-cells\">\n<thead>\n<tr class=\"row-1\">\n\t<td class=\"column-1\"><\/td><th class=\"column-2\"><strong>Curriculum Generale<\/strong><\/th><th class=\"column-3\"><strong>Curriculum Teorico<\/strong><\/th><th class=\"column-4\"><strong>Curriculum Modellistico<\/strong><\/th><th class=\"column-5\"><strong>Curriculum Applicativo<\/strong><\/th><th class=\"column-6\"><strong>Curriculum Didattico<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td rowspan=\"8\" class=\"column-1\">I anno<\/td><td class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istappl\/\" target=\"_blank\">Esame a scelta nel gruppo IstAppl (11 CFU)<\/a><\/td><td class=\"column-3\">Istituzioni di algebra (11 CFU)<\/td><td class=\"column-4\">Istituzioni di probabilit\u00e0 (11 CFU)<\/td><td class=\"column-5\">Istituzioni di analisi numerica (11 CFU)<\/td><td class=\"column-6\">Istituzioni di didattica della matematica (11 CFU)<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istteor\/\" target=\"_blank\">Esame a scelta nel gruppo IstTeor (11 CFU)<\/a><\/td><td colspan=\"2\" class=\"column-3\">Istituzioni di analisi matematica (11 CFU)<\/td><td class=\"column-5\">Istituzioni di fisica matematica (11 CFU)<\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istteor\/\" target=\"_blank\">Esame a scelta nel gruppo IstTeor (11 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modteor\/\" target=\"_blank\">Esame a scelta nel gruppo ModTeor (6 CFU)<\/a><\/td><td colspan=\"3\" class=\"column-3\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modappl\/\" target=\"_blank\">Esame a scelta nel gruppo ModAppl (6 CFU)<\/a><\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-moddidstor\/\" target=\"_blank\">Esame a scelta nel gruppo ModDidStor (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td colspan=\"2\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modteor\/\" target=\"_blank\">Esame a scelta nel gruppo ModTeor (6 CFU)<\/a><\/td><td colspan=\"2\" class=\"column-4\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modappl\/\" target=\"_blank\">Esame a scelta nel gruppo ModAppl (6 CFU)<\/a><\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-moddidstor\/\" target=\"_blank\">Esame a scelta nel gruppo ModDidStor (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modteor\/\" target=\"_blank\">Esame a scelta nel gruppo ModTeor (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-7\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modteor\/\" target=\"_blank\">Esame a scelta nel gruppo ModTeor (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-8\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-9\">\n\t<td colspan=\"5\" class=\"column-2\">Attivit\u00e0 a scelta dello studente (6 CFU)<\/td>\n<\/tr>\n<tr class=\"row-10\">\n\t<td rowspan=\"6\" class=\"column-1\">II anno<\/td><td class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istteor\/\" target=\"_blank\">Esame a scelta nel gruppo IstTeor (11 CFU)<\/a><\/td><td class=\"column-3\">Istituzioni di geometria (11 CFU)<\/td><td class=\"column-4\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istfisnum\/\" target=\"_blank\">Esame a scelta nel gruppo IstFisNum (11 CFU)<\/a><\/td><td class=\"column-5\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istteor\/\" target=\"_blank\">Esame a scelta nel gruppo IstTeor (11 CFU)<\/a><\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istappl\/\" target=\"_blank\">Esame a scelta nel gruppo IstAppl (11 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-11\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-12\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-13\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-14\">\n\t<td colspan=\"5\" class=\"column-2\">Attivit\u00e0 a scelta dello studente (6 CFU)<\/td>\n<\/tr>\n<tr class=\"row-15\">\n\t<td colspan=\"5\" class=\"column-2\"><strong>Prova finale (27 CFU)<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-13 from cache -->\n\n\n\n<p><strong data-start=\"4140\" data-end=\"4149\">Note:<\/strong> For students holding a Bachelor\u2019s Degree in Mathematics (class L-35) from the University of Pisa and enrolling in A.Y. 2021\/22, the following exams are required (unless already included in the Bachelor\u2019s study plan):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For students choosing any curriculum other than Applied, four exams chosen from:\n<ul class=\"wp-block-list\">\n<li>Elements of Set Theory<\/li>\n\n\n\n<li>Algebra 2;<\/li>\n\n\n\n<li>Mathematical Analysis 3<\/li>\n\n\n\n<li>Probability;<\/li>\n\n\n\n<li>Differential Geometry and Topology;<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>For students choosing the Applied Curriculum, the exam Scientific Computing and four of the above-listed exams.<\/li>\n<\/ul>\n<\/div><\/div>\n\n<div class=\"wp-block-pb-accordion-item c-accordion__item js-accordion-item no-js\" data-initially-open=\"false\" data-click-to-close=\"true\" data-auto-close=\"false\" data-scroll=\"false\" data-scroll-offset=\"0\"><h4 id=\"at-2582\" class=\"c-accordion__title js-accordion-controller\" role=\"button\">Students enrolled from A.Y. 2015\/16 to A.Y. 2020\/21<\/h4><div id=\"ac-2582\" class=\"c-accordion__content\">\n<table id=\"tablepress-14\" class=\"tablepress tablepress-id-14 tbody-has-connected-cells\">\n<thead>\n<tr class=\"row-1\">\n\t<td class=\"column-1\"><\/td><th class=\"column-2\"><strong>Curriculum Generale<\/strong><\/th><th class=\"column-3\"><strong>Curriculum Teorico<\/strong><\/th><th class=\"column-4\"><strong>Curriculum Modellistico<\/strong><\/th><th class=\"column-5\"><strong>Curriculum Applicativo<\/strong><\/th><th class=\"column-6\"><strong>Curriculum Didattico<\/strong><\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td rowspan=\"9\" class=\"column-1\">I anno<\/td><td class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istappl\/\" target=\"_blank\">Esame a scelta nel gruppo IstAppl (9 CFU)<\/a><\/td><td class=\"column-3\">Istituzioni di algebra (9 CFU)<\/td><td class=\"column-4\">Istituzioni di probabilit\u00e0 (9 CFU)<\/td><td class=\"column-5\">Istituzioni di analisi numerica (9 CFU)<\/td><td class=\"column-6\">Istituzioni di didattica della matematica (9 CFU)<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istteor\/\" target=\"_blank\">Esame a scelta nel gruppo IstTeor (9 CFU)<\/a><\/td><td colspan=\"2\" class=\"column-3\">Istituzioni di analisi matematica (9 CFU)<\/td><td class=\"column-5\">Istituzioni di fisica matematica (9 CFU)<\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istteor\/\" target=\"_blank\">Esame a scelta nel gruppo IstTeor (9 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modteor\/\" target=\"_blank\">Esame a scelta nel gruppo ModTeor (6 CFU)<\/a><\/td><td colspan=\"3\" class=\"column-3\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modappl\/\" target=\"_blank\">Esame a scelta nel gruppo ModAppl (6 CFU)<\/a><\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-moddidstor\/\" target=\"_blank\">Esame a scelta nel gruppo ModDidStor (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td colspan=\"2\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modteor\/\" target=\"_blank\">Esame a scelta nel gruppo ModTeor (6 CFU)<\/a><\/td><td colspan=\"2\" class=\"column-4\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modappl\/\" target=\"_blank\">Esame a scelta nel gruppo ModAppl (6 CFU)<\/a><\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-moddidstor\/\" target=\"_blank\">Esame a scelta nel gruppo ModDidStor (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modteor\/\" target=\"_blank\">Esame a scelta nel gruppo ModTeor (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-7\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modteor\/\" target=\"_blank\">Esame a scelta nel gruppo ModTeor (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-8\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-9\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-10\">\n\t<td colspan=\"5\" class=\"column-2\">Attivit\u00e0 a scelta dello studente (6 CFU)<\/td>\n<\/tr>\n<tr class=\"row-11\">\n\t<td rowspan=\"6\" class=\"column-1\">II anno<\/td><td class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istteor\/\" target=\"_blank\">Esame a scelta nel gruppo IstTeor (9 CFU)<\/a><\/td><td class=\"column-3\">Istituzioni di geometria (9 CFU)<\/td><td class=\"column-4\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istfisnum\/\" target=\"_blank\">Esame a scelta nel gruppo IstFisNum (9 CFU)<\/a><\/td><td class=\"column-5\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istteor\/\" target=\"_blank\">Esame a scelta nel gruppo IstTeor (9 CFU)<\/a><\/td><td class=\"column-6\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-istappl\/\" target=\"_blank\">Esame a scelta nel gruppo IstAppl (9 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-12\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-13\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-14\">\n\t<td colspan=\"5\" class=\"column-2\"><a href=\"https:\/\/www.dm.unipi.it\/didattica\/laurea-magistrale\/piano-di-studi\/gruppo-modaffint\/\" target=\"_blank\">Esame a scelta nel gruppo ModAffInt (6 CFU)<\/a><\/td>\n<\/tr>\n<tr class=\"row-15\">\n\t<td colspan=\"5\" class=\"column-2\">Attivit\u00e0 a scelta dello studente (6 CFU)<\/td>\n<\/tr>\n<tr class=\"row-16\">\n\t<td colspan=\"5\" class=\"column-2\"><strong>Prova finale (27 CFU)<\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<!-- #tablepress-14 from cache -->\n\n\n\n<p><strong data-start=\"4775\" data-end=\"4784\">Note:<\/strong> For students holding a Bachelor\u2019s Degree in Mathematics (class L-35) from the University of Pisa and enrolling from A.Y. 2015\/16 to A.Y. 2020\/21, the following exams are required (unless already included in the Bachelor\u2019s study plan):<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>For students choosing any curriculum other than Applied, four exams chosen from:\n<ul class=\"wp-block-list\">\n<li>Elements of Set Theory<\/li>\n\n\n\n<li>Algebra 2;<\/li>\n\n\n\n<li>Mathematical Analysis 3<\/li>\n\n\n\n<li>Probability;<\/li>\n\n\n\n<li>Differential Geometry and Topology;<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>For students choosing the Applied Curriculum, the exam Scientific Computing and four of the above-listed exams.<\/li>\n<\/ul>\n<\/div><\/div>\n\n<div style=\"height:10px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n<h4 class=\"wp-block-heading\"><strong>Notes<\/strong><\/h4>\n\n<ul class=\"wp-block-list\">\n<li>All choices must be indicated at the time of submitting the study plan. As \u201cfree-choice activities,\u201d students may include courses of the Degree Programme not already in their plan, as well as:\n<ul class=\"wp-block-list\">\n<li>Courses offered by other Degree Programmes at the University<\/li>\n\n\n\n<li>Master\u2019s-level courses offered by the Scuola Normale Superiore<\/li>\n\n\n\n<li>Ph.D. courses offered by the University or by the Scuola Normale<\/li>\n\n\n\n<li>Internships at private companies or public institutions affiliated with the Department of Mathematics or with the University of Pisa<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>Not all courses listed in the curriculum framework and present in the various groups are offered every year; students are advised to consult the <a href=\"https:\/\/www.dm.unipi.it\/didattica\/en\/lectures-exams\/course-offer\/\"><strong data-start=\"6022\" data-end=\"6043\">course offer <\/strong><\/a>to check which courses are available before choosing.<\/li>\n\n\n\n<li>Please note that admission to the Master\u2019s Degree Programme may include <strong data-start=\"6169\" data-end=\"6185\">requirements<\/strong>, i.e., educational activities that must necessarily be included in the study plan.<\/li>\n\n\n\n<li><p data-start=\"6270\" data-end=\"6572\">Changes to the curriculum or study plans submitted and approved through CAPS are <strong data-start=\"6351\" data-end=\"6390\">not automatically recorded in Alice<\/strong>.<br data-start=\"6391\" data-end=\"6394\"\/>For the Bachelor\u2019s and Master\u2019s Degree Programmes in Mathematics, the valid curriculum and study path are those defined in the <strong data-start=\"6519\" data-end=\"6571\">latest study plan submitted and approved in CAPS<\/strong>.&#13;\nIn conclusion, students are advised <strong data-start=\"6610\" data-end=\"6646\">not to worry about discrepancies<\/strong> that may appear in Alice compared to the CAPS study plan; the academic record will be aligned with the latest approved study plan shortly before the graduation session for which the student has registered.&#13;\nIt is nevertheless possible to request verification of Alice\u2013CAPS inconsistencies by writing to <em data-start=\"6950\" data-end=\"6975\"><a class=\"decorated-link cursor-pointer\" href=\"mailto:patrizia.lenzi@unipi.it\" rel=\"noopener\" data-start=\"6951\" data-end=\"6974\">patrizia.lenzi@unipi.it<\/a><\/em> (University Student Office, reference for the Bachelor\u2019s and Master\u2019s Degree Programmes in Mathematics).<br data-start=\"7078\" data-end=\"7081\"\/><strong data-start=\"7081\" data-end=\"7090\">Note:<\/strong> attach your CAPS study plan to the email and CC <em data-start=\"7139\" data-end=\"7164\"><a class=\"decorated-link cursor-pointer\" href=\"mailto:chiara.luzzati@unipi.it\" rel=\"noopener\" data-start=\"7140\" data-end=\"7163\">chiara.luzzati@unipi.it<\/a><\/em> (Teaching Office of the Department of Mathematics).&#13;\nFor the specific case of <strong data-start=\"7243\" data-end=\"7258\">extra exams<\/strong>, please refer to <a href=\"https:\/\/www.dm.unipi.it\/didattica\/en\/masters-degree\/study-plan\/extra-exams\/\">the following page<\/a>.<\/p><\/li>\n\n\n\n<li>Students who have passed <strong data-start=\"7322\" data-end=\"7335\">SNS exams<\/strong> included in their approved study plan must request that these exams be recorded in their University of Pisa transcript by sending the following documents to the administrative officer of the student office (<em data-start=\"7543\" data-end=\"7568\"><a class=\"decorated-link cursor-pointer\" href=\"mailto:patrizia.lenzi@unipi.it\" rel=\"noopener\" data-start=\"7544\" data-end=\"7567\">patrizia.lenzi@unipi.it<\/a><\/em>):\n<ul class=\"wp-block-list\">\n<li>Self-certification of the SNS exam(s);<\/li>\n\n\n\n<li>Approved CAPS study plan.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Each student is required to submit their study plan by November 30 of the first year (or within one month&hellip;<\/p>\n<p><a class=\"btn btn-dark btn-sm unipi-read-more-link\" href=\"https:\/\/www.dm.unipi.it\/didattica\/en\/masters-degree\/study-plan\/\">Read More&#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":3771,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-630","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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