{"id":6,"date":"2017-06-09T08:31:53","date_gmt":"2017-06-09T08:31:53","guid":{"rendered":"https:\/\/mat.ub.edu\/graumatesfisica\/?page_id=6"},"modified":"2026-03-24T09:09:59","modified_gmt":"2026-03-24T09:09:59","slug":"presentacio","status":"publish","type":"page","link":"https:\/\/mat.ub.edu\/graumatesfisica\/","title":{"rendered":"Presentaci\u00f3"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_single_image image=&#8221;11&#8243; img_size=&#8221;2001&#215;200&#8243; alignment=&#8221;center&#8221; style=&#8221;vc_box_rounded&#8221; css_animation=&#8221;appear&#8221;][vc_column_text]<\/p>\n<h1>Graus simultanis en Matem\u00e0tiques i en F\u00edsica<\/h1>\n<p>[\/vc_column_text][vc_row_inner disable_element=&#8221;yes&#8221;][vc_column_inner width=&#8221;1\/2&#8243;][vc_btn title=&#8221;Notes de tall&#8221; style=&#8221;flat&#8221; color=&#8221;sky&#8221; align=&#8221;center&#8221; i_icon_fontawesome=&#8221;fa fa-bar-chart&#8221; add_icon=&#8221;true&#8221; link=&#8221;url:http%3A%2F%2Fwww.ub.edu%2Fweb%2Fub%2Fca%2Festudis%2Foferta_formativa%2Fgraus%2Fnotes_tall%2Fnotes_tall.html||target:%20_blank&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;1\/2&#8243;][vc_btn title=&#8221;Jornada Introductoria&#8221; style=&#8221;flat&#8221; color=&#8221;sky&#8221; align=&#8221;center&#8221; i_icon_fontawesome=&#8221;fa fa-pencil&#8221; add_icon=&#8221;true&#8221; link=&#8221;url:https%3A%2F%2Fmat.ub.edu%2Fgraumatematiques%2Fjornada-introductoria%2F||target:%20_blank|&#8221;][\/vc_column_inner][\/vc_row_inner][vc_row_inner disable_element=&#8221;yes&#8221;][vc_column_inner width=&#8221;1\/2&#8243;][vc_btn title=&#8221;Notes de tall Curs 2019\/2020&#8243; style=&#8221;flat&#8221; color=&#8221;sky&#8221; align=&#8221;center&#8221; i_icon_fontawesome=&#8221;fa fa-bar-chart&#8221; add_icon=&#8221;true&#8221; link=&#8221;url:http%3A%2F%2Fwww.ub.edu%2Fweb%2Fub%2Fca%2Festudis%2Foferta_formativa%2Fgraus%2Fnotes_tall%2Fnotes_tall.html||target:%20_blank&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;1\/2&#8243;][vc_btn title=&#8221;Informaci\u00f3 per a Alumnat de nou acc\u00e9s&#8221; style=&#8221;flat&#8221; color=&#8221;sky&#8221; align=&#8221;center&#8221; i_icon_fontawesome=&#8221;fa fa-pencil&#8221; add_icon=&#8221;true&#8221; link=&#8221;url:https%3A%2F%2Fmat.ub.edu%2Falumnat-nou-acces%2Fmatesfisica||target:%20_blank|&#8221;][\/vc_column_inner][\/vc_row_inner][vc_row_inner][vc_column_inner][\/vc_column_inner][\/vc_row_inner][\/vc_column][\/vc_row][vc_row][vc_column width=&#8221;1\/2&#8243;][vc_text_separator title=&#8221;Pla d&#8217;estudis&#8221; i_icon_fontawesome=&#8221;fa fa-graduation-cap&#8221; i_color=&#8221;black&#8221; color=&#8221;custom&#8221; accent_color=&#8221;#2a2a2a&#8221; add_icon=&#8221;true&#8221;][vc_column_text css=&#8221;&#8221;]<\/p>\n<p style=\"text-align: justify;\">La Universitat de Barcelona, a trav\u00e9s de les facultats de Matem\u00e0tiques i de F\u00edsica, ha organitzat, des del curs 2009-10, un itinerari espec\u00edfic que permet estudiar simult\u00e0niament el Grau en Matem\u00e0tiques i el Grau en F\u00edsica.<\/p>\n<p style=\"text-align: justify;\">L\u2019admissi\u00f3 a aquest doble grau s\u2019obt\u00e9, exclusivament, per preinscripci\u00f3 universit\u00e0ria. S\u2019ofereixen 20 places.<\/p>\n<p style=\"text-align: justify;\">Les caracter\u00edstiques b\u00e0siques d\u2019aquest itinerari doble s\u00f3n:<\/p>\n<ol>\n<li style=\"text-align: justify;\">S\u2019obtenen dos t\u00edtols de grau diferents. A m\u00e9s, cadascun t\u00e9 una menci\u00f3:<br \/>\no Grau en F\u00edsica, amb intensificaci\u00f3 en F\u00edsica Fonamental i menci\u00f3 en Matem\u00e0tiques.<br \/>\no Grau en Matem\u00e0tiques, amb menci\u00f3 en F\u00edsica<\/li>\n<li style=\"text-align: justify;\">Cal cursar i superar un total de 330 cr\u00e8dits ECTS, molts menys dels 480 que calen per a fer dos graus separadament.<\/li>\n<li style=\"text-align: justify;\">La durada total prevista dels estudis \u00e9s de 10 semestres (depenent de quan es faci el Treball de Fi de Graus), molt inferior als 16 semestres que caldrien per a fer els dos graus cursats successivament.<\/li>\n<li style=\"text-align: justify;\">L\u2019itinerari doble consisteix en una organitzaci\u00f3 temporal de les assignatures dels dos ensenyaments que cal cursar i superar. Les assignatures de cada grau que no cal cursar s\u00f3n reconegudes a partir de les cursades en l\u2019altre ensenyament, a trav\u00e9s d\u2019unes taules d\u2019equival\u00e8ncia acordades pels centres i per la Universitat de Barcelona.<\/li>\n<li style=\"text-align: justify;\">Cada semestre cal compaginar doc\u00e8ncia dels dos ensenyaments. Les assignatures pr\u00f2pies de Matem\u00e0tiques tenen classes de mat\u00ed; i les de f\u00edsica, de tarda.<\/li>\n<li>L&#8217;alumne d&#8217;itinerari doble \u00e9s, de fet, alumne de les dues facultats, i ha de gestionar cada q\u00fcesti\u00f3 administrativa o acad\u00e8mica al centre coordinador: Facultat de Matem\u00e0tiques i Inform\u00e0tica<\/li>\n<\/ol>\n<p>[\/vc_column_text][\/vc_column][vc_column width=&#8221;1\/2&#8243;][vc_text_separator title=&#8221;Distribuci\u00f3 dels cr\u00e8dits&#8221; i_icon_fontawesome=&#8221;fa fa-pencil&#8221; i_color=&#8221;black&#8221; color=&#8221;custom&#8221; accent_color=&#8221;#2a2a2a&#8221; add_icon=&#8221;true&#8221;][vc_column_text]<strong>Distribuci\u00f3 dels cr\u00e8dits a superar, segons el tipus d&#8217;assignatura, \u00e9s la seg\u00fcent:<\/strong><\/p>\n<table style=\"border: 1px solid black;\" border=\"1\" width=\"100%\" cellspacing=\"0\">\n<tbody>\n<tr style=\"height: 56px;\">\n<td style=\"border: 1px solid black; height: 56px;\" width=\"60%\">\n<p align=\"center\"><span style=\"font-size: small;\"><b>Tipus<\/b><\/span><\/p>\n<\/td>\n<td style=\"border: 1px solid black; height: 56px;\" align=\"center\" width=\"20%\"><span style=\"font-size: small;\"><b>Sigles<\/b><\/span><\/td>\n<td style=\"border: 1px solid black; height: 56px;\" align=\"center\" width=\"20%\"><span style=\"font-size: small;\"><b>Cr\u00e8dits ECTS<\/b><\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"border: 1px solid black; height: 24px;\" width=\"60%\"><span style=\"font-size: small;\">Formaci\u00f3 B\u00e0sica del Grau en Matem\u00e0tiques<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small;\">FB<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small;\">36<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"border: 1px solid black; height: 24px;\" width=\"60%\"><span style=\"font-size: small;\">Formaci\u00f3 Obligat\u00f2ria del Grau en Matem\u00e0tiques<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small;\">OB<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small; color: #000000;\">108<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"border: 1px solid black; height: 24px;\" width=\"60%\"><span style=\"font-size: small;\">Formaci\u00f3 B\u00e0sica del Grau en F\u00edsica<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small;\">FB<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small; color: #000000;\">30<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"border: 1px solid black; height: 24px;\" width=\"60%\"><span style=\"font-size: small;\">Formaci\u00f3 Obligat\u00f2ria del Grau en F\u00edsica<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small;\">OB<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small; color: #000000;\">78<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"border: 1px solid black; height: 24px;\" width=\"60%\"><span style=\"font-size: small;\">Formaci\u00f3 Optativa de Menci\u00f3 en F\u00edsica Fonamental\u00a0i Minor en Matem\u00e0tiques del Grau en F\u00edsica<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small;\">OTM<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small; color: #000000;\">48<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"border: 1px solid black; height: 24px;\" width=\"60%\"><span style=\"font-size: small;\">Assignatura Optativa de Matem\u00e0tiques\u00a0<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small;\">OT<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"border: 1px solid black;\"><span style=\"font-size: small;\">Assignatura Optativa de F\u00edsica<\/span><\/td>\n<td style=\"border: 1px solid black; text-align: center;\"><span style=\"font-size: small;\">OT<\/span><\/td>\n<td style=\"border: 1px solid black; text-align: center;\"><span style=\"font-size: small;\">6<\/span><\/td>\n<\/tr>\n<tr style=\"height: 24px;\">\n<td style=\"border: 1px solid black; height: 24px;\" width=\"60%\"><span style=\"font-size: small;\">Treballs de Fi de Graus<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small;\">TR<\/span><\/td>\n<td style=\"border: 1px solid black; height: 24px; text-align: center;\" align=\"center\" width=\"20%\"><span style=\"font-size: small;\">18 + 6<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>[\/vc_column_text][\/vc_column][\/vc_row][vc_row][vc_column][vc_separator][vc_column_text css=&#8221;&#8221;]<\/p>\n<p style=\"text-align: left;\">Consulteu la informaci\u00f3 pr\u00f2pia de cadascun dels dos ensenyaments:<\/p>\n<ul>\n<li style=\"text-align: left;\"><a href=\"https:\/\/mat.ub.edu\/graumatematiques\/\" target=\"_blank\" rel=\"noopener noreferrer\">Grau en Matem\u00e0tiques<\/a><\/li>\n<li style=\"text-align: left;\"><a href=\"https:\/\/www.ub.edu\/portal\/web\/fisica\/grau\/-\/ensenyaments\/detall\/6293998\/24\" target=\"_blank\" rel=\"noopener noreferrer\">Grau en F\u00edsica<\/a><\/li>\n<\/ul>\n<p>[\/vc_column_text][\/vc_column][\/vc_row]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_single_image image=&#8221;11&#8243; img_size=&#8221;2001&#215;200&#8243; alignment=&#8221;center&#8221; style=&#8221;vc_box_rounded&#8221; css_animation=&#8221;appear&#8221;][vc_column_text] Graus simultanis en Matem\u00e0tiques i en F\u00edsica [\/vc_column_text][vc_row_inner disable_element=&#8221;yes&#8221;][vc_column_inner width=&#8221;1\/2&#8243;][vc_btn title=&#8221;Notes de tall&#8221; style=&#8221;flat&#8221; color=&#8221;sky&#8221; align=&#8221;center&#8221; i_icon_fontawesome=&#8221;fa fa-bar-chart&#8221; add_icon=&#8221;true&#8221; link=&#8221;url:http%3A%2F%2Fwww.ub.edu%2Fweb%2Fub%2Fca%2Festudis%2Foferta_formativa%2Fgraus%2Fnotes_tall%2Fnotes_tall.html||target:%20_blank&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;1\/2&#8243;][vc_btn title=&#8221;Jornada Introductoria&#8221; style=&#8221;flat&#8221; color=&#8221;sky&#8221; align=&#8221;center&#8221; i_icon_fontawesome=&#8221;fa fa-pencil&#8221; add_icon=&#8221;true&#8221; link=&#8221;url:https%3A%2F%2Fmat.ub.edu%2Fgraumatematiques%2Fjornada-introductoria%2F||target:%20_blank|&#8221;][\/vc_column_inner][\/vc_row_inner][vc_row_inner disable_element=&#8221;yes&#8221;][vc_column_inner width=&#8221;1\/2&#8243;][vc_btn title=&#8221;Notes de tall Curs 2019\/2020&#8243; style=&#8221;flat&#8221; color=&#8221;sky&#8221; align=&#8221;center&#8221; i_icon_fontawesome=&#8221;fa fa-bar-chart&#8221; add_icon=&#8221;true&#8221; link=&#8221;url:http%3A%2F%2Fwww.ub.edu%2Fweb%2Fub%2Fca%2Festudis%2Foferta_formativa%2Fgraus%2Fnotes_tall%2Fnotes_tall.html||target:%20_blank&#8221;][\/vc_column_inner][vc_column_inner width=&#8221;1\/2&#8243;][vc_btn title=&#8221;Informaci\u00f3 per a Alumnat [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-6","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mat.ub.edu\/graumatesfisica\/wp-json\/wp\/v2\/pages\/6","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.ub.edu\/graumatesfisica\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mat.ub.edu\/graumatesfisica\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mat.ub.edu\/graumatesfisica\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.ub.edu\/graumatesfisica\/wp-json\/wp\/v2\/comments?post=6"}],"version-history":[{"count":42,"href":"https:\/\/mat.ub.edu\/graumatesfisica\/wp-json\/wp\/v2\/pages\/6\/revisions"}],"predecessor-version":[{"id":252,"href":"https:\/\/mat.ub.edu\/graumatesfisica\/wp-json\/wp\/v2\/pages\/6\/revisions\/252"}],"wp:attachment":[{"href":"https:\/\/mat.ub.edu\/graumatesfisica\/wp-json\/wp\/v2\/media?parent=6"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}