{"id":25977,"date":"2025-04-17T16:15:56","date_gmt":"2025-04-17T19:15:56","guid":{"rendered":"http:\/\/localhost\/faci-wordpress\/?page_id=25977"},"modified":"2026-06-07T21:56:56","modified_gmt":"2026-06-08T00:56:56","slug":"doctorado-en-matematica-aplicada","status":"publish","type":"page","link":"https:\/\/ciencias.ubiobio.cl\/faci\/index.php\/doctorado-en-matematica-aplicada\/","title":{"rendered":"DOCTORADO EN MATEM\u00c1TICA APLICADA"},"content":{"rendered":"<div style=\"max-width: 960px;\">\n<div style=\"position: relative; overflow: hidden; background-image: linear-gradient(135deg,rgba(13,38,85,.92) 0%,rgba(13,38,85,.65) 100%),url('https:\/\/ciencias.ubiobio.cl\/faci\/wp-content\/uploads\/2025\/04\/img_carr_16-scaled.jpg'); background-size: cover; background-position: center; border-radius: 12px; padding: 48px 32px; margin-bottom: 32px; color: #fff; min-height: 240px; border-top: 5px solid #E8A020;\">\n<div style=\"display: inline-block; background: #E8A020; color: #fff; font-size: 11px; font-weight: bold; padding: 6px 14px; border-radius: 6px; text-transform: uppercase; letter-spacing: .8px; margin-bottom: 18px;\">Programa de Doctorado<\/div>\n<h1 style=\"color: #fff; font-size: 30px; font-weight: bold; margin: 0 0 14px; line-height: 1.2;\">Doctorado en Matem\u00e1tica Aplicada<\/h1>\n<p style=\"color: rgba(255,255,255,.92); font-size: 15px; line-height: 1.6; margin: 0 0 20px; max-width: 720px;\">Programa orientado a formar capital humano altamente calificado en teor\u00eda y m\u00e9todos matem\u00e1ticos, destinado a la investigaci\u00f3n original.<\/p>\n<div><span style=\"display: inline-block; background: rgba(255,255,255,.15); color: #fff; font-size: 12px; padding: 6px 12px; border-radius: 20px; border: 1px solid rgba(255,255,255,.25); margin: 4px 6px 4px 0;\">\ud83d\udccd Concepci\u00f3n<\/span><span style=\"display: inline-block; background: rgba(255,255,255,.15); color: #fff; font-size: 12px; padding: 6px 12px; border-radius: 20px; border: 1px solid rgba(255,255,255,.25); margin: 4px 6px 4px 0;\">\u23f1 8 semestres<\/span><span style=\"display: inline-block; background: rgba(255,255,255,.15); color: #fff; font-size: 12px; padding: 6px 12px; border-radius: 20px; border: 1px solid rgba(255,255,255,.25); margin: 4px 6px 4px 0;\">\ud83c\udfdb Departamento de Matem\u00e1tica<\/span><\/div>\n<div style=\"margin-top: 18px;\"><a style=\"display: inline-block; background: #E8A020; color: #fff; font-size: 13px; font-weight: bold; padding: 11px 22px; border-radius: 6px; text-decoration: none; margin: 4px 8px 4px 0;\" href=\"https:\/\/doctorado-mat.ubiobio.cl\/\" target=\"_blank\" rel=\"noopener\">\ud83c\udf10 Sitio oficial del programa \u2192<\/a><a style=\"display: inline-block; background: rgba(255,255,255,.15); color: #fff; border: 1px solid rgba(255,255,255,.35); font-size: 13px; font-weight: 600; padding: 10px 22px; border-radius: 6px; text-decoration: none; margin: 4px 0 4px 0;\" href=\"https:\/\/postgrados.ubiobio.cl\/Doctorados\/36\/Matematica_Aplicada_Concepcion\/\" target=\"_blank\" rel=\"noopener\">Postular en Postgrados UBB \u2192<\/a><\/div>\n<\/div>\n<div>\n<div style=\"display: inline-block; vertical-align: top; width: 48%; box-sizing: border-box; background: #fff; border: 1px solid #E8ECF1; border-radius: 12px; padding: 24px; border-top: 4px solid #E8A020; margin: 0 1% 18px 0;\">\n<h2 style=\"color: #0d2655; font-size: 18px; margin: 0 0 12px;\">Objetivo del programa<\/h2>\n<p style=\"color: #4b5563; font-size: 14px; line-height: 1.65; margin: 0;\">El objetivo principal del Programa de Doctorado en Matem\u00e1tica Aplicada es formar capital humano altamente calificado en teor\u00eda y m\u00e9todos matem\u00e1ticos, destinados a la investigaci\u00f3n original, que ayuden a ampliar el horizonte de conocimiento matem\u00e1tico, y puedan aportar en la formulaci\u00f3n, comprensi\u00f3n y resoluci\u00f3n de problemas provenientes de las m\u00e1s diversas \u00e1reas del conocimiento, como ciencias naturales, tecnol\u00f3gicas e industriales.<\/p>\n<\/div>\n<div style=\"display: inline-block; vertical-align: top; width: 48%; box-sizing: border-box; background: #fff; border: 1px solid #E8ECF1; border-radius: 12px; padding: 24px; border-top: 4px solid #0D2655; margin: 0 0 18px 0;\">\n<h2 style=\"color: #0d2655; font-size: 18px; margin: 0 0 12px;\">Perfil del graduado(a)<\/h2>\n<p style=\"color: #4b5563; font-size: 14px; line-height: 1.65; margin: 0;\">El doctor en Matem\u00e1tica Aplicada ser\u00e1 un profesional capacitado para realizar en forma aut\u00f3noma, investigaciones que produzcan conocimiento de frontera en matem\u00e1tica pura y aplicada, con reconocimiento nacional e internacional. Estar\u00e1 en condiciones de modelar, desarrollar y resolver problemas que aparecen en distintas ciencias tales como ingenier\u00eda, econom\u00eda, biolog\u00eda, comunicaciones, estad\u00edstica y f\u00edsica. Se caracterizar\u00e1 por tener las competencias para formular y desarrollar con \u00e9xito proyectos de investigaci\u00f3n.<\/p>\n<\/div>\n<\/div>\n<h2 style=\"color: #0d2655; border-left: 4px solid #E8A020; padding-left: 12px; margin: 36px 0 20px; font-size: 22px;\">L\u00edneas de investigaci\u00f3n<\/h2>\n<div>\n<div style=\"display: inline-block; vertical-align: top; width: 48%; box-sizing: border-box; background: #fff; border: 1px solid #E8ECF1; border-radius: 12px; padding: 22px; border-top: 4px solid #E8A020; margin: 0 1% 18px 0; min-height: 160px;\">\n<h3 style=\"color: #0d2655; font-size: 15px; font-weight: bold; margin: 0 0 10px; line-height: 1.3;\">An\u00e1lisis Num\u00e9rico de Ecuaciones Diferenciales Parciales<\/h3>\n<p style=\"color: #4b5563; font-size: 13px; line-height: 1.55; margin: 0;\">M\u00e9todos de Elementos Finitos Conforme y No-Conforme, M\u00e9todos de Elementos Finitos para problemas de Mec\u00e1nica de S\u00f3lidos y Fluidos, M\u00e9todos de Elementos Virtuales, An\u00e1lisis Matem\u00e1tico y Num\u00e9rico para Modelos Biol\u00f3gicos.<\/p>\n<\/div>\n<div style=\"display: inline-block; vertical-align: top; width: 48%; box-sizing: border-box; background: #fff; border: 1px solid #E8ECF1; border-radius: 12px; padding: 22px; border-top: 4px solid #E8A020; margin: 0 1% 18px 0; min-height: 160px;\">\n<h3 style=\"color: #0d2655; font-size: 15px; font-weight: bold; margin: 0 0 10px; line-height: 1.3;\">An\u00e1lisis de Ecuaciones Diferenciales Parciales<\/h3>\n<p style=\"color: #4b5563; font-size: 13px; line-height: 1.55; margin: 0;\">Problemas Inversos, Estabilidad de soluciones de EDP, Ecuaciones Diferenciales Parciales Lineales y No lineales (existencia de soluciones, regularidad, estabilidad), Problemas de Control Optimal para EDP.<\/p>\n<\/div>\n<div style=\"display: inline-block; vertical-align: top; width: 48%; box-sizing: border-box; background: #fff; border: 1px solid #E8ECF1; border-radius: 12px; padding: 22px; border-top: 4px solid #E8A020; margin: 0 1% 18px 0; min-height: 160px;\">\n<h3 style=\"color: #0d2655; font-size: 15px; font-weight: bold; margin: 0 0 10px; line-height: 1.3;\">Sistemas Din\u00e1micos y Aplicaciones<\/h3>\n<p style=\"color: #4b5563; font-size: 13px; line-height: 1.55; margin: 0;\">Ecuaciones Diferenciales Ordinarias y Aplicaciones, Sistemas Din\u00e1micos Diferenciables y Topol\u00f3gicos, Teor\u00eda Erg\u00f3dica, Ecuaciones en Diferencia, Sistemas Din\u00e1micos Hamiltonianos, Mec\u00e1nica Celeste y Mec\u00e1nica Anal\u00edtica, Din\u00e1mica Compleja.<\/p>\n<\/div>\n<\/div>\n<h2 style=\"color: #0d2655; border-left: 4px solid #0D2655; padding-left: 12px; margin: 36px 0 20px; font-size: 22px;\">Requisitos de admisi\u00f3n<\/h2>\n<div style=\"background: #fff; border: 1px solid #E8ECF1; border-radius: 12px; padding: 24px; border-top: 4px solid #0D2655; margin-bottom: 24px;\">\n<p style=\"color: #4b5563; font-size: 14px; line-height: 1.65; margin: 0 0 14px;\">Licenciatura o magister en matem\u00e1ticas o \u00e1reas afines, presentar curr\u00edculum vitae, certificados acad\u00e9micos, carta de intenci\u00f3n, cartas de recomendaci\u00f3n acad\u00e9mica y entrevista con el Comit\u00e9 Acad\u00e9mico del Programa.<\/p>\n<p><a style=\"display: inline-block; background: #E8A020; color: #fff; font-size: 13px; font-weight: 600; padding: 10px 20px; border-radius: 6px; text-decoration: none;\" href=\"https:\/\/postgrados.ubiobio.cl\/Doctorados\/36\/Matematica_Aplicada_Concepcion\/\" target=\"_blank\" rel=\"noopener\">Postular ahora \u2192<\/a><\/p>\n<\/div>\n<h2 style=\"color: #0d2655; border-left: 4px solid #E8A020; padding-left: 12px; margin: 36px 0 20px; font-size: 22px;\">Direcci\u00f3n y contacto<\/h2>\n<div>\n<div style=\"display: inline-block; vertical-align: top; width: 48%; box-sizing: border-box; background: #fff; border: 1px solid #E8ECF1; border-radius: 12px; padding: 24px; border-top: 4px solid #0D2655; margin: 0 1% 18px 0; min-height: 340px;\"><span style=\"display: block; color: #0d2655; font-size: 13px; font-weight: bold; text-transform: uppercase; letter-spacing: .5px; margin-bottom: 18px;\">Director del Programa<\/span><\/p>\n<div style=\"text-align: center; margin-bottom: 14px;\"><img decoding=\"async\" style=\"width: 100px; height: 100px; border-radius: 50%; object-fit: cover; border: 3px solid #E8A020;\" src=\"https:\/\/ciencias.ubiobio.cl\/faci\/wp-content\/uploads\/2026\/06\/claudal-1-1.jpg\" alt=\"Claudio Vidal D\u00edaz\" \/><\/div>\n<div style=\"text-align: center;\"><span style=\"display: block; color: #0d2655; font-size: 17px; font-weight: bold; margin-bottom: 14px;\">Claudio Vidal D\u00edaz<\/span><\/div>\n<div style=\"border-top: 1px solid #E8ECF1; padding-top: 14px;\">\n<p style=\"color: #374151; font-size: 13px; margin: 0 0 6px;\"><strong>Correo:<\/strong> <a style=\"color: #92400e; text-decoration: none;\" href=\"mailto:doctorado.matematica@ubiobio.cl\">doctorado.matematica@ubiobio.cl<\/a><\/p>\n<p style=\"color: #374151; font-size: 13px; margin: 0 0 6px;\"><strong>Tel\u00e9fono:<\/strong> (41) 311 1728<\/p>\n<p style=\"color: #374151; font-size: 13px; margin: 0;\"><strong>Ubicaci\u00f3n:<\/strong> Concepci\u00f3n: Av. Collao 1202<\/p>\n<\/div>\n<\/div>\n<div style=\"display: inline-block; vertical-align: top; width: 48%; box-sizing: border-box; background: #fff; border: 1px solid #E8ECF1; border-radius: 12px; padding: 24px; border-top: 4px solid #0D2655; margin: 0 0 18px 0; min-height: 340px;\"><span style=\"display: block; color: #0d2655; font-size: 13px; font-weight: bold; text-transform: uppercase; letter-spacing: .5px; margin-bottom: 18px;\">Secretar\u00eda del Programa<\/span><\/p>\n<div style=\"text-align: center; margin-bottom: 14px;\"><img decoding=\"async\" style=\"width: 100px; height: 100px; border-radius: 50%; object-fit: cover; border: 3px solid #E8A020;\" src=\"https:\/\/ciencias.ubiobio.cl\/faci\/wp-content\/uploads\/2026\/06\/WhatsApp-Image-2026-05-18-at-12.21.09.jpeg\" alt=\"Secretar\u00eda Doctorado\" \/><\/div>\n<div style=\"text-align: center;\"><span style=\"display: block; color: #0d2655; font-size: 17px; font-weight: bold; margin-bottom: 14px;\">Secretar\u00eda Doctorado<\/span><\/div>\n<div style=\"border-top: 1px solid #E8ECF1; padding-top: 14px;\">\n<p style=\"color: #374151; font-size: 13px; margin: 0 0 6px;\"><strong>Tel\u00e9fono:<\/strong> (41) 311 1728<\/p>\n<p style=\"color: #374151; font-size: 13px; margin: 0;\"><strong>Ubicaci\u00f3n:<\/strong> Concepci\u00f3n: Av. Collao 1202<\/p>\n<\/div>\n<\/div>\n<\/div>\n<h2 style=\"color: #0d2655; border-left: 4px solid #E8A020; padding-left: 12px; margin: 36px 0 20px; font-size: 22px;\">Plan de estudios<\/h2>\n<div style=\"background: #fff; border: 1px solid #E8ECF1; border-radius: 12px; padding: 18px; text-align: center;\"><a href=\"https:\/\/ciencias.ubiobio.cl\/faci\/wp-content\/uploads\/2025\/04\/MALLA-DOCTORADO-MATEMATICA-06-061578341683418.png\" target=\"_blank\" rel=\"noopener\"><img decoding=\"async\" style=\"max-width: 100%; height: auto; border-radius: 8px;\" src=\"https:\/\/ciencias.ubiobio.cl\/faci\/wp-content\/uploads\/2025\/04\/MALLA-DOCTORADO-MATEMATICA-06-061578341683418.png\" alt=\"Plan de estudios\" \/><\/a><\/p>\n<p style=\"color: #6b7280; font-size: 12px; margin: 10px 0 0;\">Haz clic para ver el plan en tama\u00f1o completo \u00b7 <a style=\"color: #92400e;\" href=\"https:\/\/doctorado-mat.ubiobio.cl\/\" target=\"_blank\" rel=\"noopener\">M\u00e1s detalles en sitio oficial \u2192<\/a><\/p>\n<\/div>\n<h2 style=\"color: #0d2655; border-left: 4px solid #0D2655; padding-left: 12px; margin: 36px 0 20px; font-size: 22px;\">Enlaces relacionados<\/h2>\n<div><a style=\"display: inline-block; background: #E8A020; color: #fff; font-size: 13px; font-weight: 600; padding: 10px 20px; border-radius: 6px; text-decoration: none; margin: 0 8px 8px 0;\" href=\"\/faci\/index.php\/programas-de-postgrado\/\">\u2190 Todos los programas de postgrado<\/a><a style=\"display: inline-block; background: #fff; color: #0d2655; border: 2px solid #0D2655; font-size: 13px; font-weight: 600; padding: 8px 20px; border-radius: 6px; text-decoration: none; margin: 0 8px 8px 0;\" href=\"\/faci\/index.php\/oferta-academica\/\">Oferta acad\u00e9mica<\/a><a style=\"display: inline-block; background: #fff; color: #0d2655; border: 2px solid #0D2655; font-size: 13px; font-weight: 600; padding: 8px 20px; border-radius: 6px; text-decoration: none; margin: 0 8px 8px 0;\" href=\"\/faci\/index.php\/investigacion-lab-publicaciones\/\">Investigaci\u00f3n<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Programa de Doctorado Doctorado en Matem\u00e1tica Aplicada Programa orientado a formar capital humano altamente calificado en teor\u00eda y m\u00e9todos matem\u00e1ticos,&#8230;<\/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-25977","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/ciencias.ubiobio.cl\/faci\/index.php\/wp-json\/wp\/v2\/pages\/25977","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ciencias.ubiobio.cl\/faci\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ciencias.ubiobio.cl\/faci\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ciencias.ubiobio.cl\/faci\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ciencias.ubiobio.cl\/faci\/index.php\/wp-json\/wp\/v2\/comments?post=25977"}],"version-history":[{"count":15,"href":"https:\/\/ciencias.ubiobio.cl\/faci\/index.php\/wp-json\/wp\/v2\/pages\/25977\/revisions"}],"predecessor-version":[{"id":27410,"href":"https:\/\/ciencias.ubiobio.cl\/faci\/index.php\/wp-json\/wp\/v2\/pages\/25977\/revisions\/27410"}],"wp:attachment":[{"href":"https:\/\/ciencias.ubiobio.cl\/faci\/index.php\/wp-json\/wp\/v2\/media?parent=25977"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}