{"id":10,"date":"2025-11-18T11:39:59","date_gmt":"2025-11-18T09:39:59","guid":{"rendered":"https:\/\/mat.ub.edu\/matematiques\/?page_id=8"},"modified":"2026-01-21T07:51:18","modified_gmt":"2026-01-21T05:51:18","slug":"presentacio","status":"publish","type":"page","link":"https:\/\/mat.ub.edu\/maths\/","title":{"rendered":"Presentation"},"content":{"rendered":"<div class=\"wpb-content-wrapper\"><p>[vc_row][vc_column][vc_single_image image=&#8221;14&#8243; img_size=&#8221;2001&#215;200&#8243; alignment=&#8221;center&#8221; style=&#8221;vc_box_rounded&#8221; css_animation=&#8221;appear&#8221; css=&#8221;&#8221;][vc_column_text css=&#8221;&#8221;]<\/p>\n<h1>Degree in Mathematics<\/h1>\n<p>[\/vc_column_text][vc_column_text css=&#8221;&#8221;]<\/p>\n<p style=\"text-align: center\"><span style=\"font-size: 18pt\"><strong>PLA ESTUDIS 2026<\/strong><\/span><\/p>\n<p>&nbsp;<\/p>\n<table class=\"responsive\" style=\"border-collapse: collapse;width: 95.8925%;height: 573px\">\n<tbody>\n<tr class=\"responsive\" style=\"border-style: hidden;background-color: #e8e8e8\">\n<td class=\"xl21\" style=\"height: 16px;width: 5.15894%\" height=\"22\"><span style=\"font-size: 12pt\"><strong>CURS<\/strong><\/span><\/td>\n<td class=\"xl22\" style=\"width: 33.4321%;height: 16px\"><span style=\"font-size: 12pt\"><strong>SEMESTRE DE TARDOR<\/strong><\/span><\/td>\n<td class=\"xl22\" style=\"width: 4.07633%;height: 16px;text-align: center\"><span style=\"font-size: 12pt\"><strong>ECTS<\/strong><\/span><\/td>\n<td class=\"xl22\" style=\"width: 5.78756%;height: 16px\"><span style=\"font-size: 12pt\"><strong>TIPUS<\/strong><\/span><\/td>\n<td class=\"xl22\" style=\"width: 54.1464%;height: 16px\"><span style=\"font-size: 12pt\"><strong>SEMESTRE DE PRIMAVERA<\/strong><\/span><\/td>\n<td class=\"xl22\" style=\"width: 43.9579%;height: 16px\"><span style=\"font-size: 12pt\"><strong>ECTS<\/strong><\/span><\/td>\n<td class=\"xl23\" style=\"width: 27.9394%;height: 16px\"><span style=\"font-size: 12pt\"><strong>TIPUS<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl17\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td class=\"xl30\" style=\"width: 33.4321%;height: 15px\"><\/td>\n<td class=\"xl30\" style=\"width: 4.07633%;height: 15px\"><\/td>\n<td class=\"xl30\" style=\"width: 5.78756%;height: 15px\"><\/td>\n<td class=\"xl30\" style=\"width: 54.1464%;height: 15px\"><\/td>\n<td class=\"xl30\" style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><span style=\"font-size: 12pt\"><strong>PRIMER<\/strong><\/span><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>INTRODUCCI\u00d3 A L&#8217;AN\u00c0LISI MATEM\u00c0TICA<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>9<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>FB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>\u00c0LGEBRA LINEAL I MULTILINEAL<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>9<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>FB<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>INTRODUCCI\u00d3 A L&#8217;ALGEBRA LINEAL<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>9<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>FB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>C\u00c0LCUL EN UNA VARIABLE<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>9<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>FB<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>INTRODUCCI\u00d3 A LA PROGRAMACI\u00d3<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>FB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>ALGOR\u00cdSMICA<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>FB<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>FONAMENTS I ARITM\u00c8TICA<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>FB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>M\u00c8TODES NUM\u00c8RICS 1<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>FB<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl17\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td class=\"xl30\" style=\"width: 33.4321%;height: 15px\"><\/td>\n<td class=\"xl38\" style=\"width: 4.07633%;height: 15px;text-align: center\"><\/td>\n<td class=\"xl38\" style=\"width: 5.78756%;height: 15px;text-align: center\"><\/td>\n<td class=\"xl30\" style=\"width: 54.1464%;height: 15px\"><\/td>\n<td class=\"xl38\" style=\"width: 43.9579%;height: 15px;text-align: center\"><\/td>\n<td class=\"xl39\" style=\"width: 27.9394%;height: 15px;text-align: center\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><span style=\"font-size: 12pt\"><strong>SEGON<\/strong><\/span><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>ESTRUCTURES ALGEBRAIQUES<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>9<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>TOPOLOGIA<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>9<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>C\u00c0LCUL DIFERENCIAL EN DIVERSES VARIABLES<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>9<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>C\u00c0LCUL INTEGRAL EN DIVERSES VARIABLES<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>9<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>MATEM\u00c0TICA DISCRETA<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>M\u00c8TODES NUM\u00c8RICS 2<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>GEOMETRIA LINEAL<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>GEOMETRIA PROJECTIVA<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl32\" style=\"height: 16px;width: 5.15894%\" height=\"22\"><\/td>\n<td class=\"xl27\" style=\"width: 33.4321%;height: 16px\"><\/td>\n<td class=\"xl36\" style=\"width: 4.07633%;height: 16px;text-align: center\"><\/td>\n<td class=\"xl36\" style=\"width: 5.78756%;height: 16px;text-align: center\"><\/td>\n<td class=\"xl27\" style=\"width: 54.1464%;height: 16px\"><\/td>\n<td class=\"xl36\" style=\"width: 43.9579%;height: 16px;text-align: center\"><\/td>\n<td class=\"xl37\" style=\"width: 27.9394%;height: 16px;text-align: center\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><span style=\"font-size: 12pt\"><strong>TERCER<\/strong><\/span><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>PROBABILITATS<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>9<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>ESTAD\u00cdSTICA<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>9<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>EQUACIONS DIFERENCIALS<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>9<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>GEOMETRIA DIFERENCIAL<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>9<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>AN\u00c0LISI REAL<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>AN\u00c0LISI COMPLEXA<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>TEORIA DE GALOIS<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>EQUACIONS EN DERIVADES PARCIALS<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><span style=\"font-size: 12pt\"><strong>QUART<\/strong><\/span><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>F\u00cdSICA MATEM\u00c0TICA<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OB<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>OPTATIVA 5<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OP<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>OPTATIVA 1<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OP<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>OPTATIVA 6<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OP<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>OPTATIVA 2<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OP<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>OPTATIVA 7<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OP<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl18\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>OPTATIVA 3<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OP<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>TREBALL DE FI DE GRAU<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>12<\/strong><\/span><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>TFG<\/strong><\/span><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl19\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>OPTATIVA 4<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 4.07633%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>6<\/strong><\/span><\/td>\n<td class=\"xl34\" style=\"width: 5.78756%;height: 15px;text-align: center\"><span style=\"font-size: 12pt\"><strong>OP<\/strong><\/span><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><\/td>\n<td class=\"xl34\" style=\"width: 43.9579%;height: 15px;text-align: center\"><\/td>\n<td class=\"xl35\" style=\"width: 27.9394%;height: 15px;text-align: center\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl29\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td class=\"xl30\" style=\"width: 33.4321%;height: 15px\"><\/td>\n<td class=\"xl30\" style=\"width: 4.07633%;height: 15px\"><\/td>\n<td class=\"xl30\" style=\"width: 5.78756%;height: 15px\"><\/td>\n<td class=\"xl30\" style=\"width: 54.1464%;height: 15px\"><\/td>\n<td class=\"xl30\" style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl25\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"background-color: #e8e8e8;width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>EN EL MOMENT D&#8217;ESCOLLIR LES ASSIGNATURES OPTATIVES, ES POT OPTAR PER UNA DE LES SEG\u00dcENTS MENCIONS<\/strong><\/span><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px;background-color: #e8e8e8\"><span style=\"font-size: 12pt\"><strong>ASSIGNATURES OPTATIVES PR\u00d2PIES DE MATEM\u00c0TIQUES<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl25\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>MENCI\u00d3 EN MATEM\u00c0TIQUES FONAMENTALS<\/strong><\/span><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>GEOMETRIA I TOPOLOGIA DE VARIETATS<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl25\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>MENCI\u00d3 EN CI\u00c8NCIA DE DADES<\/strong><\/span><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>CORBES ALGEBRAIQUES<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl25\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>MENCI\u00d3 EN ECONOMIA<\/strong><\/span><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>LOGICA<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl25\" style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"background-color: #e8e8e8;width: 33.4321%;height: 15px\"><span style=\"font-size: 12pt\"><strong>TAMB\u00c9 ES POT OPTAR PER UN ITINERARI LLIURE<\/strong><\/span><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>TEORIA DE CONJUNTS<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td class=\"xl26\" style=\"height: 16px;width: 5.15894%\" height=\"22\"><\/td>\n<td class=\"xl27\" style=\"width: 33.4321%;height: 16px\"><\/td>\n<td class=\"xl27\" style=\"width: 4.07633%;height: 16px\"><\/td>\n<td class=\"xl27\" style=\"width: 5.78756%;height: 16px\"><\/td>\n<td style=\"width: 54.1464%;height: 16px\"><span style=\"font-size: 12pt\"><strong>COMBINAT\u00d2RIA<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 16px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>TEORIA ALGEBRAICA DE NOMBRES<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>TEORIA ANAL\u00cdTICA DE NOMBRES<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>\u00c0LGEBRA COMMUTATUVA I COMPUTACIONAL<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>AN\u00c0LISI FUNCIONAL<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>AN\u00c0LISI HARM\u00d2NICA I COMPLEXA<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>OPTIMITZACI\u00d3<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>SISTEMES DIN\u00c0MICS<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>MODELITZACI\u00d3 I SIMULACI\u00d3<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<tr style=\"border-style: hidden\">\n<td style=\"height: 15px;width: 5.15894%\" height=\"21\"><\/td>\n<td style=\"width: 33.4321%;height: 15px\"><\/td>\n<td style=\"width: 4.07633%;height: 15px\"><\/td>\n<td style=\"width: 5.78756%;height: 15px\"><\/td>\n<td style=\"width: 54.1464%;height: 15px\"><span style=\"font-size: 12pt\"><strong>PROBABILITATS AVAN\u00c7ADES<\/strong><\/span><\/td>\n<td style=\"width: 71.8973%;height: 15px\" colspan=\"2\" width=\"133\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-102 size-full\" src=\"https:\/\/mat.ub.edu\/matematiques\/wp-content\/uploads\/sites\/46\/2026\/01\/image.png\" alt=\"\" width=\"1534\" height=\"984\" \/>[\/vc_column_text][vc_column_text css=&#8221;&#8221;]<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-101 size-full\" src=\"https:\/\/mat.ub.edu\/matematiques\/wp-content\/uploads\/sites\/46\/2026\/01\/image2.png\" alt=\"\" width=\"1780\" height=\"992\" \/>[\/vc_column_text][\/vc_column][\/vc_row][vc_column][\/vc_column]<\/p>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>[vc_row][vc_column][vc_single_image image=&#8221;14&#8243; img_size=&#8221;2001&#215;200&#8243; alignment=&#8221;center&#8221; style=&#8221;vc_box_rounded&#8221; css_animation=&#8221;appear&#8221; css=&#8221;&#8221;][vc_column_text css=&#8221;&#8221;] Degree in Mathematics [\/vc_column_text][vc_column_text css=&#8221;&#8221;] PLA ESTUDIS 2026 &nbsp; CURS SEMESTRE DE TARDOR ECTS TIPUS SEMESTRE DE PRIMAVERA ECTS TIPUS PRIMER INTRODUCCI\u00d3 A L&#8217;AN\u00c0LISI MATEM\u00c0TICA 9 FB \u00c0LGEBRA LINEAL I MULTILINEAL 9 FB INTRODUCCI\u00d3 A L&#8217;ALGEBRA LINEAL 9 FB C\u00c0LCUL EN UNA VARIABLE 9 FB INTRODUCCI\u00d3 A [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-10","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mat.ub.edu\/maths\/wp-json\/wp\/v2\/pages\/10","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.ub.edu\/maths\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mat.ub.edu\/maths\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mat.ub.edu\/maths\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.ub.edu\/maths\/wp-json\/wp\/v2\/comments?post=10"}],"version-history":[{"count":11,"href":"https:\/\/mat.ub.edu\/maths\/wp-json\/wp\/v2\/pages\/10\/revisions"}],"predecessor-version":[{"id":32,"href":"https:\/\/mat.ub.edu\/maths\/wp-json\/wp\/v2\/pages\/10\/revisions\/32"}],"wp:attachment":[{"href":"https:\/\/mat.ub.edu\/maths\/wp-json\/wp\/v2\/media?parent=10"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}