{"id":614,"date":"2023-10-02T19:28:36","date_gmt":"2023-10-02T17:28:36","guid":{"rendered":"https:\/\/www.postgradospucv.cl\/?page_id=614"},"modified":"2026-03-20T13:20:56","modified_gmt":"2026-03-20T12:20:56","slug":"magister-en-matematicas","status":"publish","type":"page","link":"https:\/\/www.postgradospucv.cl\/index.php\/magister-en-matematicas\/","title":{"rendered":"Mag\u00edster en Matem\u00e1ticas"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"614\" class=\"elementor elementor-614\" data-elementor-settings=\"{&quot;ha_cmc_init_switcher&quot;:&quot;no&quot;}\" data-elementor-post-type=\"page\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f380ac3 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"f380ac3\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-12a74587\" data-id=\"12a74587\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6667371 elementor-cta--skin-cover elementor-animated-content elementor-widget elementor-widget-call-to-action\" data-id=\"6667371\" data-element_type=\"widget\" data-widget_type=\"call-to-action.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-cta\">\n\t\t\t\t\t<div class=\"elementor-cta__bg-wrapper\">\n\t\t\t\t<div class=\"elementor-cta__bg elementor-bg\" style=\"background-image: url(https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/10\/Banner-Doctorado-en-Matematica.jpg);\" role=\"img\" aria-label=\"Banner-Doctorado-en-Matem\u00e1tica\"><\/div>\n\t\t\t\t<div class=\"elementor-cta__bg-overlay\"><\/div>\n\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-cta__content\">\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<h2 class=\"elementor-cta__title elementor-cta__content-item elementor-content-item elementor-animated-item--grow\">\n\t\t\t\t\t\tFACULTAD DE CIENCIAS\t\t\t\t\t<\/h2>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-cta__description elementor-cta__content-item elementor-content-item elementor-animated-item--grow\">\n\t\t\t\t\t\tMAG\u00cdSTER EN MATEM\u00c1TICAS\t\t\t\t\t<\/div>\n\t\t\t\t\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-1f62eed9 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"1f62eed9\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-41d28de5\" data-id=\"41d28de5\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-639a1b18 elementor-widget elementor-widget-heading\" data-id=\"639a1b18\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Duraci\u00f3n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2332171b elementor-align-left elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"2332171b\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">4 semestres<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-618fb3b1\" data-id=\"618fb3b1\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-514ab1ba elementor-widget elementor-widget-heading\" data-id=\"514ab1ba\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Postulaci\u00f3n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-388673cd elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"388673cd\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Desde el 14 de julio al 27 de octubre 2025<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-24503ca5\" data-id=\"24503ca5\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6ce3e548 elementor-widget elementor-widget-heading\" data-id=\"6ce3e548\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Inicio de clases<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-20ed6302 elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"20ed6302\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Marzo<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-3be41d9f\" data-id=\"3be41d9f\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-16a922af elementor-widget elementor-widget-heading\" data-id=\"16a922af\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Modalidad<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-104d3320 elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"104d3320\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Presencial<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-223f9243\" data-id=\"223f9243\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-60dc2bf3 elementor-widget elementor-widget-heading\" data-id=\"60dc2bf3\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Valor del programa<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1aae3aaf elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"1aae3aaf\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Valor matr\u00edcula semestral: $143.000.-<br> Valor total del programa: $ 5.300.000<br> Valor semestral del programa: $1.325.000<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-16 elementor-inner-column elementor-element elementor-element-50a13242\" data-id=\"50a13242\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-14ac748e elementor-widget elementor-widget-heading\" data-id=\"14ac748e\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Horarios<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1462f26 elementor-align-left elementor-mobile-align-center elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"1462f26\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Lunes a viernes (ambos inclusive), desde 08:15 a 18:20 horas.<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b3a72b1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b3a72b1\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8d9afef\" data-id=\"8d9afef\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0b94476 elementor-align-center elementor-widget elementor-widget-button\" data-id=\"0b94476\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/navegador.pucv.cl\/administracion\/mantenedores\/postulaciones\/index.php\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">PORTAL DE POSTULACI\u00d3N<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-14b47fa9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"14b47fa9\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-5636d999\" data-id=\"5636d999\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-95d9c72 elementor-widget__width-initial elementor-widget elementor-widget-image\" data-id=\"95d9c72\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"2664\" height=\"1015\" src=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Magister-en-Matematicas_Color_1.png\" class=\"attachment-full size-full wp-image-8202\" alt=\"\" srcset=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Magister-en-Matematicas_Color_1.png 2664w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Magister-en-Matematicas_Color_1-300x114.png 300w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Magister-en-Matematicas_Color_1-1024x390.png 1024w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Magister-en-Matematicas_Color_1-768x293.png 768w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Magister-en-Matematicas_Color_1-1536x585.png 1536w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/01\/Magister-en-Matematicas_Color_1-2048x780.png 2048w\" sizes=\"(max-width: 2664px) 100vw, 2664px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-53b1bbd6 elementor-align-right elementor-widget elementor-widget-button\" data-id=\"53b1bbd6\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"http:\/\/ima.ucv.cl\/programas\/mm\/\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Sitio Web ><\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-58ec275a elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"58ec275a\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Descripci\u00f3n y objetivos del Programa<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5ce06606 elementor-widget elementor-widget-text-editor\" data-id=\"5ce06606\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>El Programa, de car\u00e1cter acad\u00e9mico, tiene como objetivo ofrecer una formaci\u00f3n s\u00f3lida en las \u00e1reas fundamentales de la matem\u00e1tica y especializar al alumno en alguna de las l\u00edneas de investigaci\u00f3n existentes en el Instituto. Sus egresados estar\u00e1n capacitados para continuar estudios de doctorado o integrar equipos de investigaci\u00f3n cient\u00edfica.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7b109053 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"7b109053\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">L\u00edneas de Investigaci\u00f3n<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-22dbe5d4 elementor-widget elementor-widget-text-editor\" data-id=\"22dbe5d4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>An\u00e1lisis Num\u00e9rico<br \/>Matem\u00e1tica Interdisciplinaria<br \/>Sistemas Din\u00e1micos<br \/>Teor\u00eda de N\u00fameros<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-270c399 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"270c399\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Perfil de ingreso<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4ff41fa5 elementor-widget elementor-widget-text-editor\" data-id=\"4ff41fa5\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Cuenta con una formacio\u0301n universitaria ba\u0301sica en Matema\u0301ticas o un a\u0301rea afi\u0301n.<br \/>Maneja un lenguaje te\u0301cnico y formal adecuado para el estudio de la disciplina, y expresa argumentos matema\u0301ticos de forma lo\u0301gica y precisa.<br \/>Tiene la motivacio\u0301n y el ha\u0301bito de estudio requeridos para profundizar en una de las li\u0301neas de investigacio\u0301n existentes en el Instituto de Matema\u0301ticas. En particular, tiene el compromiso de dedicacio\u0301n requerido por un Programa de tiempo completo.<br \/>Tiene la capacidad de aplicar la teori\u0301a en la resolucio\u0301n de problemas provenientes de la matema\u0301tica u otras a\u0301reas de las ciencias o ingenieri\u0301as.<br \/>Tiene el compromiso de conducirse con integridad y honestidad con sus pares y docentes.<br \/>Busca obtener un grado de especializacio\u0301n que le permita perfeccionar su formacio\u0301n acade\u0301mica, con dominio de los fundamentos de la matema\u0301tica, que le faciliten retribuir con vocacio\u0301n de servicio a nuestra sociedad.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6bc7b736 elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"6bc7b736\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-arrow-alt-circle-right\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Perfil de graduaci\u00f3n<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4a2d5d83 elementor-widget elementor-widget-text-editor\" data-id=\"4a2d5d83\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Cuenta con conocimientos, habilidades y t\u00e9cnicas propias de la disciplina en \u00c1lgebra, An\u00e1lisis, Topolog\u00eda y Geometr\u00eda.<br \/>Tiene la capacidad de estudiar, comprender, analizar, sintetizar y exponer t\u00f3picos de matem\u00e1tica contempor\u00e1nea.<br \/>Cuenta con conocimientos generales, habilidades y t\u00e9cnicas propias de alguna de las l\u00edneas de investigaci\u00f3n desarrolladas en el Instituto.<br \/>Recopila, selecciona, analiza y sintetiza informaci\u00f3n desde fuentes cient\u00edficas pertinentes.<br \/>Realiza un trabajo de investigaci\u00f3n guiado por un investigador experimentado, conoce el estado del arte y lo proyecta mediante la formulaci\u00f3n de preguntas relevantes.<br \/>Produce escritos cient\u00edficos de forma independiente con un estilo de escritura matem\u00e1tica adecuada.<br \/>Discrimina la pertinencia del aporte de su l\u00ednea de investigaci\u00f3n a un problema planteado desde otra \u00e1rea del conocimiento.<br \/>Desde su especialidad, apoya el planteamiento, desarrollo e implementaci\u00f3n de modelos matem\u00e1ticos adecuados para resolver problemas, motivados por investigaci\u00f3n matem\u00e1tica o no matem\u00e1tica, y establece diccionarios que le permitan contextualizar, interpretar y comunicar los modelos y resultados obtenidos.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-6beb0c8d\" data-id=\"6beb0c8d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7cca0272 elementor-widget elementor-widget-image\" data-id=\"7cca0272\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"600\" height=\"350\" src=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/10\/Doctorado-en-Matematica.jpg\" class=\"attachment-full size-full wp-image-460\" alt=\"\" srcset=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/10\/Doctorado-en-Matematica.jpg 600w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/10\/Doctorado-en-Matematica-300x175.jpg 300w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-22c7e566 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"22c7e566\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-3da7597c\" data-id=\"3da7597c\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-73e082b elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"73e082b\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Requisitos de admisi\u00f3n<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-77e1d62d elementor-widget elementor-widget-text-editor\" data-id=\"77e1d62d\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Podr\u00e1n postular al Programa conducente al Grado de Mag\u00edster en Matem\u00e1tica, chilenos o extranjeros, que est\u00e9n en posesi\u00f3n del grado de Licenciado o de un t\u00edtulo profesional equivalente, de al menos 4 a\u00f1os de duraci\u00f3n, cuyo nivel y contenido de estudios se corresponda con los necesarios para obtener el grado de Licenciado requerido, en el \u00e1mbito de las disciplinas propias o afines con este Programa.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-474a2085 ha-toggle--icon-left elementor-widget elementor-widget-ha-toggle happy-addon ha-toggle happy-addon-pro\" data-id=\"474a2085\" data-element_type=\"widget\" data-widget_type=\"ha-toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__wrapper\" role=\"tablist\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__item\">\n\t\t\t\t\t<div id=\"ha-toggle__item-title-1191\" class=\"ha-toggle__item-title\" data-tab=\"1\" role=\"tab\" aria-controls=\"ha-toggle__item-content-1191\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-icon ha-toggle__icon\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--closed\"><i aria-hidden=\"true\" class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--opened\"><i aria-hidden=\"true\" class=\"fas fa-chevron-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"ha-toggle__item-title-inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-title-text\">Documentos de postulaci\u00f3n<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"ha-toggle__item-content-1191\" class=\"ha-toggle__item-content\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"ha-toggle__item-title-1191\">\n\t\t\t\t\t\t<ul><li>Formulario de Postulaci\u00f3n completado al momento de enviar la postulaci\u00f3n en l\u00ednea.<\/li><li>Curriculum Vitae, seg\u00fan formato preestablecido.<\/li><li>Copia de t\u00edtulo profesional y\/o grado acad\u00e9mico o certificado de \u00e9stos. <\/li><li>Certificado de concentracio\u0301n de notas de pregrado.<\/li><li>Certificado de ranking de egreso de pregrado.<\/li><li>Dos cartas de referencia del a\u0301mbito acade\u0301mico segu\u0301n formato preestablecido.<\/li><\/ul>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-15617a17 ha-toggle--icon-left elementor-widget elementor-widget-ha-toggle happy-addon ha-toggle happy-addon-pro\" data-id=\"15617a17\" data-element_type=\"widget\" data-widget_type=\"ha-toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__wrapper\" role=\"tablist\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__item\">\n\t\t\t\t\t<div id=\"ha-toggle__item-title-3581\" class=\"ha-toggle__item-title\" data-tab=\"1\" role=\"tab\" aria-controls=\"ha-toggle__item-content-3581\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-icon ha-toggle__icon\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--closed\"><i aria-hidden=\"true\" class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--opened\"><i aria-hidden=\"true\" class=\"fas fa-chevron-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"ha-toggle__item-title-inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-title-text\">Becas y Beneficios<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"ha-toggle__item-content-3581\" class=\"ha-toggle__item-content\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"ha-toggle__item-title-3581\">\n\t\t\t\t\t\t<p>ANID:\u00a0<a href=\"https:\/\/anid.cl\/\" target=\"_blank\" rel=\"noopener noreferrer\" data-auth=\"NotApplicable\" data-linkindex=\"4\">Inicio \u2013 ANID<\/a> &#8211; Mag\u00edster Becas Chile <br \/>Becas Internas PUCV: Arancel \u2013 Manutenci\u00f3n\u00a0 &#8211; Evento Cient\u00edfico &#8211; T\u00e9rmino de Tesis<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-64408c8 ha-toggle--icon-left elementor-widget elementor-widget-ha-toggle happy-addon ha-toggle happy-addon-pro\" data-id=\"64408c8\" data-element_type=\"widget\" data-widget_type=\"ha-toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__wrapper\" role=\"tablist\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__item\">\n\t\t\t\t\t<div id=\"ha-toggle__item-title-1051\" class=\"ha-toggle__item-title\" data-tab=\"1\" role=\"tab\" aria-controls=\"ha-toggle__item-content-1051\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-icon ha-toggle__icon\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--closed\"><i aria-hidden=\"true\" class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--opened\"><i aria-hidden=\"true\" class=\"fas fa-chevron-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"ha-toggle__item-title-inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-title-text\">Cuerpo Acad\u00e9mico<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"ha-toggle__item-content-1051\" class=\"ha-toggle__item-content\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"ha-toggle__item-title-1051\">\n\t\t\t\t\t\t<p>N\u00facleo \/ Mauricio Barrientos Barr\u00eda<br \/>N\u00facleo \/ Ignacio Muga Urquiza<br \/>N\u00facleo \/ Sebasti\u00e1n Ossand\u00f3n V\u00e9liz<br \/>N\u00facleo \/ Rad\u00fa Saghin<br \/>N\u00facleo \/ Carlos V\u00e1squez Ehrenfeld<br \/>N\u00facleo \/ Francisco Valenzuela Henr\u00edquez<br \/>N\u00facleo \/ Luis Alberto Lomel\u00ed<br \/>N\u00facleo \/ Felipe Riquelme Abarca<br \/>N\u00facleo \/ Paulina Sep\u00falveda Salas<br \/>N\u00facleo \/ Juan Manuel C\u00e1rdenas C\u00e1rdenas<br \/>N\u00facleo \/ Mar\u00eda Alejandra \u00c1lvarez<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-dd3a059 ha-toggle--icon-left elementor-widget elementor-widget-ha-toggle happy-addon ha-toggle happy-addon-pro\" data-id=\"dd3a059\" data-element_type=\"widget\" data-widget_type=\"ha-toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__wrapper\" role=\"tablist\">\n\t\t\t\t\t\t\t<div class=\"ha-toggle__item\">\n\t\t\t\t\t<div id=\"ha-toggle__item-title-2311\" class=\"ha-toggle__item-title\" data-tab=\"1\" role=\"tab\" aria-controls=\"ha-toggle__item-content-2311\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-icon ha-toggle__icon\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--closed\"><i aria-hidden=\"true\" class=\"fas fa-chevron-right\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__icon--opened\"><i aria-hidden=\"true\" class=\"fas fa-chevron-up\"><\/i><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"ha-toggle__item-title-inner\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"ha-toggle__item-title-text\">Requisitos de Graduaci\u00f3n y Grado Otorgado<\/span>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<div id=\"ha-toggle__item-content-2311\" class=\"ha-toggle__item-content\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"ha-toggle__item-title-2311\">\n\t\t\t\t\t\t<p>Para obtener el <strong>Grado de Mag\u00edster en Matem\u00e1ticas<\/strong>, los estudiantes deben llevar a cabo un Trabajo de Tesis dentro de un semestre acad\u00e9mico, dirigido por un profesor gu\u00eda. Este trabajo implica una investigaci\u00f3n rigurosa en una l\u00ednea espec\u00edfica de matem\u00e1ticas, con la posibilidad de realizar aportes originales. Antes de comenzar, el profesor gu\u00eda presenta la propuesta de tesis al Director del programa para su aprobaci\u00f3n. Una vez inscrito el Trabajo de Tesis, el estudiante tiene un plazo m\u00e1ximo para programar su Examen de Grado. La evaluaci\u00f3n del Trabajo de Tesis es realizada por una Comisi\u00f3n compuesta por tres profesores, que incluye al profesor gu\u00eda y a otros acad\u00e9micos. Aprobado el Trabajo de Tesis, el estudiante procede al Examen de Grado en una defensa p\u00fablica del trabajo frente a la Comisi\u00f3n. La calificaci\u00f3n final del grado se determina en base al promedio del Trabajo de Tesis y del Examen de Grado, adem\u00e1s del promedio de calificaciones obtenidas en asignaturas y seminarios.<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-inner-section elementor-element elementor-element-69f32fb0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"69f32fb0\" data-element_type=\"section\" data-settings=\"{&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-inner-column elementor-element elementor-element-331c2d68\" data-id=\"331c2d68\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-69cd6a8e elementor-align-center elementor-widget elementor-widget-button\" data-id=\"69cd6a8e\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t\t\t<a class=\"elementor-button elementor-button-link elementor-size-sm\" href=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2023\/11\/Reglamento-Academico-y-Plan-de-Estudios_Magister-en-Matematicas.pdf\" target=\"_blank\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-icon\">\n\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-file-download\"><\/i>\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Reglamento del Programa<\/span>\n\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-55d9312e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"55d9312e\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-76c74213\" data-id=\"76c74213\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7c9dfe0 elementor-widget elementor-widget-heading\" data-id=\"7c9dfe0\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">PLAN DE ESTUDIOS<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5ea5c788 ha-column-alignment-left ha-column-alignment-left ha-column-icon-left ha-column-icon-left ha-row-alignment-center ha-row-icon-top ha-row-icon-top ha-data-table-responsive-scroll-yes ha-column-alignment-left ha-row-alignment-left ha-data-table-disable-wordwrap-yes elementor-widget elementor-widget-ha-data-table happy-addon ha-data-table\" data-id=\"5ea5c788\" data-element_type=\"widget\" data-widget_type=\"ha-data-table.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\n\t\t<table class=\"ha-table\">\n\t\t\t<thead class=\"ha-table__head\">\n\t\t\t\t<tr class=\"ha-table__head-column\">\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-afa6919\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">I SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-0330529\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">II SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-3c82eda\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">III SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t\t\t<th class=\"ha-table__head-column-cell elementor-repeater-item-eb5f0fa\">\n\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-wrap\">\n\t\t\t\t\t\t\t\t<div class=\"ha-table__head-column-cell-text\">IV SEMESTRE<\/div>\n\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/th>\n\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t<\/thead>\n\n\t\t\t<tbody class=\"ha-table__body\">\n\t\t\t\t\t\t\t\t\t<tr class=\"ha-table__body-row\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-51aa844\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tTeor\u00eda de la Medida\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-1c8618b\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\t\u00c1lgebra 2\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-eb028f1\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tSeminario de Investigaci\u00f3n 1\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-03fad5e\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tTrabajo de Tesis\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t\t\t\t\t\t\t<tr class=\"ha-table__body-row\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-b1dc093\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tAlgebra 1\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-8312b23\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tAn\u00e1lisis Complejo\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-8e685b7\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tAsignatura Optativa 1\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-aaf25b4\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tAsignatura Optativa 3\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t\t\t\t\t\t\t<tr class=\"ha-table__body-row\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-ca4ff66\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tTopolog\u00eda General\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-9781fc1\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tAn\u00e1lisis Funcional\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-5054621\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tAsignatura Optativa 2\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t\t\t\t\t\t\t<tr class=\"ha-table__body-row\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-c31187a\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\t-\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<td class=\"ha-table__body-row-cell elementor-repeater-item-39f8917\">\n\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-wrap\">\n\t\t\t\t\t\t\t\t\t\t<div class=\"ha-table__body-row-cell-text\">\n\t\t\t\t\t\t\t\t\t\t\tVariedades Diferenciales\t\t\t\t\t\t\t\t\t\t<\/div>\n\n\t\t\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/td>\n\t\t\t\t\t\t\t\t\t\t\t\t<\/tr>\n\t\t\t\t\t\t\t<\/tbody>\n\t\t<\/table>\n\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-21b31609 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"21b31609\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-473ee5b6\" data-id=\"473ee5b6\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-46962b9b elementor-widget elementor-widget-google_maps\" data-id=\"46962b9b\" data-element_type=\"widget\" data-widget_type=\"google_maps.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-custom-embed\">\n\t\t\t<iframe loading=\"lazy\"\n\t\t\t\t\tsrc=\"https:\/\/maps.google.com\/maps?q=Calle%20Blanco%20Viel%20N%C2%B0596%2C%20Cerro%20Bar%C3%B3n%2C%20Valpar%C3%ADso&#038;t=m&#038;z=16&#038;output=embed&#038;iwloc=near\"\n\t\t\t\t\ttitle=\"Calle Blanco Viel N\u00b0596, Cerro Bar\u00f3n, Valpar\u00edso\"\n\t\t\t\t\taria-label=\"Calle Blanco Viel N\u00b0596, Cerro Bar\u00f3n, Valpar\u00edso\"\n\t\t\t><\/iframe>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-123c9419 elementor-align-left elementor-icon-list--layout-traditional elementor-list-item-link-full_width elementor-widget elementor-widget-icon-list\" data-id=\"123c9419\" data-element_type=\"widget\" data-widget_type=\"icon-list.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ul class=\"elementor-icon-list-items\">\n\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"mailto:postgrado.ima@pucv.cl\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-envelope\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">postgrado.ima@pucv.cl<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<a href=\"tel:+56%2032%20227%204038\">\n\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-phone-alt\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">+56 32 227 4038<\/span>\n\t\t\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-location-arrow\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Instituto de Matem\u00e1tica - PUCV, calle Blanco Viel N\u00b0596, Cerro Bar\u00f3n, Valpar\u00edso.<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t\t\t<li class=\"elementor-icon-list-item\">\n\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-icon\">\n\t\t\t\t\t\t\t<i aria-hidden=\"true\" class=\"fas fa-check\"><\/i>\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-icon-list-text\">Nombre del Director: Luis Alberto Lomel\u00ed<\/span>\n\t\t\t\t\t\t\t\t\t<\/li>\n\t\t\t\t\t\t<\/ul>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5a0ed32 elementor-widget__width-initial elementor-widget elementor-widget-image\" data-id=\"5a0ed32\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img decoding=\"async\" width=\"1908\" height=\"609\" src=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/05\/MAGISTER-EN-MATEMATICAS-color.png\" class=\"attachment-full size-full wp-image-9645\" alt=\"\" srcset=\"https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/05\/MAGISTER-EN-MATEMATICAS-color.png 1908w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/05\/MAGISTER-EN-MATEMATICAS-color-300x96.png 300w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/05\/MAGISTER-EN-MATEMATICAS-color-1024x327.png 1024w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/05\/MAGISTER-EN-MATEMATICAS-color-768x245.png 768w, https:\/\/www.postgradospucv.cl\/wp-content\/uploads\/2025\/05\/MAGISTER-EN-MATEMATICAS-color-1536x490.png 1536w\" sizes=\"(max-width: 1908px) 100vw, 1908px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-1f00656 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"1f00656\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;_ha_eqh_enable&quot;:false}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-f56b245\" data-id=\"f56b245\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4d80a74 elementor-widget elementor-widget-heading\" data-id=\"4d80a74\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">\u00bfNecesitas m\u00e1s informaci\u00f3n sobre el programa?<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9f90de4 elementor-button-align-center elementor-widget elementor-widget-form\" data-id=\"9f90de4\" data-element_type=\"widget\" data-settings=\"{&quot;step_next_label&quot;:&quot;Siguiente&quot;,&quot;step_previous_label&quot;:&quot;Anterior&quot;,&quot;button_width&quot;:&quot;100&quot;,&quot;step_type&quot;:&quot;number_text&quot;,&quot;step_icon_shape&quot;:&quot;circle&quot;}\" data-widget_type=\"form.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<form class=\"elementor-form\" method=\"post\" name=\"Formulario - Mag\u00edster en Matem\u00e1ticas\">\n\t\t\t<input type=\"hidden\" name=\"post_id\" value=\"614\"\/>\n\t\t\t<input type=\"hidden\" name=\"form_id\" value=\"9f90de4\"\/>\n\t\t\t<input type=\"hidden\" name=\"referer_title\" value=\"\" \/>\n\n\t\t\t\n\t\t\t<div class=\"elementor-form-fields-wrapper elementor-labels-\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-name elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-name\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tNombre\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[name]\" id=\"form-field-name\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Nombre\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-field_fcb629c elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_fcb629c\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tApellido\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[field_fcb629c]\" id=\"form-field-field_fcb629c\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Apellido\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-field_f4c15ee elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_f4c15ee\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tRUT (ej.12345678-9)\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[field_f4c15ee]\" id=\"form-field-field_f4c15ee\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"RUT (ej.12345678-9)\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text elementor-field-group elementor-column elementor-field-group-field_9c74a92 elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_9c74a92\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tComuna\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[field_9c74a92]\" id=\"form-field-field_9c74a92\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Comuna\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-email elementor-field-group elementor-column elementor-field-group-field_9c43e1e elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_9c43e1e\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tEmail\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t<input size=\"1\" type=\"email\" name=\"form_fields[field_9c43e1e]\" id=\"form-field-field_9c43e1e\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Email\" required=\"required\">\n\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-tel elementor-field-group elementor-column elementor-field-group-field_e1d7b3c elementor-col-33 elementor-field-required\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_e1d7b3c\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tTel\u00e9fono\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t<input size=\"1\" type=\"tel\" name=\"form_fields[field_e1d7b3c]\" id=\"form-field-field_e1d7b3c\" class=\"elementor-field elementor-size-sm  elementor-field-textual\" placeholder=\"Tel\u00e9fono\" required=\"required\" pattern=\"[0-9()#&amp;+*-=.]+\" title=\"Only numbers and phone characters (#, -, *, etc) are accepted.\">\n\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-acceptance elementor-field-group elementor-column elementor-field-group-field_90ac35d elementor-col-50\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_90ac35d\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tDeseo recibir m\u00e1s informaci\u00f3n de la PUCV\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-subgroup\">\n\t\t\t<span class=\"elementor-field-option\">\n\t\t\t\t<input type=\"checkbox\" name=\"form_fields[field_90ac35d]\" id=\"form-field-field_90ac35d\" class=\"elementor-field elementor-size-sm  elementor-acceptance-field\">\n\t\t\t\t<label for=\"form-field-field_90ac35d\">Deseo recibir m\u00e1s informaci\u00f3n de la PUCV<\/label>\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-acceptance elementor-field-group elementor-column elementor-field-group-field_ecf6800 elementor-col-50\">\n\t\t\t\t\t\t\t\t\t\t\t\t<label for=\"form-field-field_ecf6800\" class=\"elementor-field-label elementor-screen-only\">\n\t\t\t\t\t\t\t\tDeseo recibir m\u00e1s informaci\u00f3n del Postgrado\t\t\t\t\t\t\t<\/label>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-subgroup\">\n\t\t\t<span class=\"elementor-field-option\">\n\t\t\t\t<input type=\"checkbox\" name=\"form_fields[field_ecf6800]\" id=\"form-field-field_ecf6800\" class=\"elementor-field elementor-size-sm  elementor-acceptance-field\">\n\t\t\t\t<label for=\"form-field-field_ecf6800\">Deseo recibir m\u00e1s informaci\u00f3n del Postgrado<\/label>\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-text\">\n\t\t\t\t\t<input size=\"1\" type=\"text\" name=\"form_fields[field_6b4a05b]\" id=\"form-field-field_6b4a05b\" class=\"elementor-field elementor-size-sm \" style=\"display:none !important;\">\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-type-recaptcha_v3 elementor-field-group elementor-column elementor-field-group-field_4c160e2 elementor-col-100 recaptcha_v3-bottomleft\">\n\t\t\t\t\t<div class=\"elementor-field\" id=\"form-field-field_4c160e2\"><div class=\"elementor-g-recaptcha\" data-sitekey=\"6LdQ0CAqAAAAAIoskpTJ1ADyWB4G7uif7DloC2uP\" data-type=\"v3\" data-action=\"Form\" data-badge=\"bottomleft\" data-size=\"invisible\"><\/div><\/div>\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<div class=\"elementor-field-group elementor-column elementor-field-type-submit elementor-col-100 e-form__buttons\">\n\t\t\t\t\t<button class=\"elementor-button elementor-size-sm\" type=\"submit\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-button-text\">Enviar<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/button>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/form>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>FACULTAD DE CIENCIAS MAG\u00cdSTER EN MATEM\u00c1TICAS Duraci\u00f3n 4 semestres Postulaci\u00f3n Desde el 14 de julio al 27 de octubre 2025 Inicio de clases Marzo Modalidad Presencial Valor del programa Valor matr\u00edcula semestral: $143.000.- Valor total del programa: $ 5.300.000 Valor semestral del programa: $1.325.000 Horarios Lunes a viernes (ambos inclusive), desde 08:15 a 18:20 horas. 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