{"id":38,"date":"2017-06-28T13:01:07","date_gmt":"2017-06-28T13:01:07","guid":{"rendered":"http:\/\/www.ull.es\/masteres\/desarrollo-y-gestion-de-recursos-humanos\/?page_id=38"},"modified":"2025-11-13T13:54:46","modified_gmt":"2025-11-13T13:54:46","slug":"competencias","status":"publish","type":"page","link":"https:\/\/www.ull.es\/grados\/matematicas\/fr\/plan-de-estudios\/competencias\/","title":{"rendered":"Comp\u00e9tences"},"content":{"rendered":"\n<div class=\"wp-block-stackable-columns alignfull stk-block-columns stk-block stk-8657999\" data-block-id=\"8657999\"><style>.stk-8657999 {padding-bottom:0px !important;margin-top:-30px !important;margin-bottom:0px !important;}@media screen and (max-width: 767px){.stk-8657999 {margin-top:-10% !important;}}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-8657999-column alignfull\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-914f03e\" data-v=\"4\" 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depicter-1-section-1\" data-name=\"Section 1\" data-type=\"section\" data-local-id=\"section-1\">\n<picture class=\"depicter-bg\">\n<source data-depicter-srcset=\"https:\/\/www.ull.es\/grados\/matematicas\/wp-content\/uploads\/sites\/45\/2025\/03\/blackboard-inscribed-with-scientific-formulas-calculations-768x511.jpg, https:\/\/www.ull.es\/grados\/matematicas\/wp-content\/uploads\/sites\/45\/2025\/03\/blackboard-inscribed-with-scientific-formulas-calculations.jpg 2x\" srcset=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" media=\"(max-width: 1024px)\" \/>\n\n<source data-depicter-srcset=\"https:\/\/www.ull.es\/grados\/matematicas\/wp-content\/uploads\/sites\/45\/2025\/03\/blackboard-inscribed-with-scientific-formulas-calculations.jpg, https:\/\/www.ull.es\/grados\/matematicas\/wp-content\/uploads\/sites\/45\/2025\/03\/blackboard-inscribed-with-scientific-formulas-calculations-1600x1065.jpg 2x\" srcset=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" media=\"(min-width: 1025px)\" \/>\n<img decoding=\"async\" src=\"data:image\/gif;base64,R0lGODlhAQABAIAAAAAAAP\/\/\/yH5BAEAAAAALAAAAAABAAEAAAIBRAA7\" data-ken-burns=\"false\" data-tablet-ken-burns=\"false\" data-mobile-ken-burns=\"false\" alt=\"\" data-depicter-src=\"https:\/\/www.ull.es\/grados\/matematicas\/wp-content\/uploads\/sites\/45\/2025\/03\/blackboard-inscribed-with-scientific-formulas-calculations.jpg\" data-object-fit=\"custom,custom,\" data-object-position=\"center top,,\" data-crop=\"{'focalPoint':{'x':0.5,'y':0.5},'mediaSize':{'width':1200,'height':798.75}}\" data-tablet-crop=\"{'focalPoint':{'x':0.5,'y':0.5},'mediaSize':{'width':1051.643192488262911865604110062122344970703125,'height':700}}\" data-mobile-crop=\"{'focalPoint':{'x':0.5,'y':0.5},'mediaSize':{'width':540.8450704225351728382520377635955810546875,'height':360}}\" \/>\n<\/picture>\n\n\n<h1 id=\"depicter-1-element-5\" class=\"depicter-element depicter-layer depicter-1-element-5\" data-type=\"text\" data-wrap=\"true\" data-name=\"Text 2\" data-local-id=\"element-5\" data-offset=\"x:122px;y:200px;origin:tl\" data-tablet-offset=\"x:218px;y:321px;origin:tl\" data-mobile-offset=\"x:28px;y:-100px;origin:tl\" data-width=\"956px,589px,348px\" data-height=\"auto,auto,auto\" data-responsive-scale=\"true,,\">Grado en Matem\u00e1ticas<\/h1>\n\n<div id=\"depicter-1-element-10\" class=\"depicter-element depicter-layer depicter-1-element-10\" data-type=\"shape\" data-wrap=\"true\" data-name=\"Shape 1\" data-local-id=\"element-10\" data-offset=\"x:134px;y:306px;origin:tl\" data-tablet-offset=\"x:224px;y:385px;origin:tl\" data-mobile-offset=\"x:28px;y:15px;origin:tl\" data-width=\"933px,532px,269px\" data-height=\"8px,8px,8px\" data-responsive-scale=\"true,,\"><\/div>\n<\/div>\n<\/div>\n<script>\n(window.depicterSetups = window.depicterSetups || []).push(function(){\n\tDepicter.basePath = 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!important;}.stk-ceecbdc:before{background-color:#360060 !important;}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content stk-content-align stk-ceecbdc-column alignfull\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-fc60a5d\" data-v=\"4\" data-block-id=\"fc60a5d\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-fc60a5d-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-fc60a5d-inner-blocks\">\n<div class=\"wp-block-stackable-spacer stk-block-spacer stk--no-padding stk-block stk-a3a8a68\" data-block-id=\"a3a8a68\"><style>.stk-a3a8a68 {height:0px !important;}<\/style><\/div>\n<\/div><\/div><\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-stackable-columns stk-block-columns stk-block stk-8b59b96\" data-block-id=\"8b59b96\"><style>.stk-8b59b96 .stk--block-align-8b59b96{align-items:flex-start !important;}.stk-8b59b96 {margin-top:25px !important;}.stk-8b59b96-column{--stk-columns-spacing:0px !important;--stk-column-gap:50px !important;}@media screen and (max-width: 767px){.stk-8b59b96-column{row-gap:var(--stk--preset--spacing--60, 2.25rem) !important;}}<\/style><div class=\"stk-row stk-inner-blocks stk--block-align-8b59b96 stk-block-content stk-content-align stk-8b59b96-column\">\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-dbb7e15\" data-v=\"4\" data-block-id=\"dbb7e15\"><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-dbb7e15-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-dbb7e15-inner-blocks\">\n<div class=\"wp-block-stackable-heading stk-block-heading stk-block-heading--v2 stk-block stk-689c258\" id=\"competencias\" data-block-id=\"689c258\"><style>.stk-689c258 .stk-block-heading__text{color:#5c068c !important;}<\/style><h1 class=\"stk-block-heading__text has-text-color\">Competencias<\/h1><\/div>\n\n\n\n<div class=\"wp-block-stackable-text stk-block-text stk-block stk-82992b2\" data-block-id=\"82992b2\"><p class=\"stk-block-text__text\">Las competencias son el conjunto de conocimientos, habilidades y actitudes a adquirir por el estudiantado, a lo largo de la titulaci\u00f3n, orientadas a la preparaci\u00f3n del ejercicio de actividades de car\u00e1cter profesional.<\/p><\/div>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-8b2d93c is-style-default\" id=\"competencias-generales\" data-block-id=\"8b2d93c\"><style>.stk-8b2d93c {border-style:solid !important;border-top-width:0px !important;border-right-width:0px !important;border-bottom-width:1px !important;border-left-width:0px !important;margin-bottom:11px !important;}<\/style>\n<summary class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-f6bf138 stk--container-small stk-block-accordion__heading\" data-v=\"4\" data-block-id=\"f6bf138\"><style>.stk-f6bf138 {padding-top:2px !important;padding-right:2px !important;padding-bottom:2px !important;padding-left:2px !important;}<\/style><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-f6bf138-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-f6bf138-inner-blocks\">\n<div class=\"wp-block-stackable-icon-label stk-block-icon-label stk-block stk-94bb4b4\" data-block-id=\"94bb4b4\"><style>.stk-94bb4b4 .stk-inner-blocks{gap:39px !important;}@media screen and (max-width: 1023px){.stk-94bb4b4 .stk-inner-blocks{gap:39px !important;}}@media screen and (max-width: 767px){.stk-94bb4b4 .stk-inner-blocks{gap:39px !important;}}<\/style><div class=\"stk-row stk-inner-blocks stk-block-content\">\n<div class=\"wp-block-stackable-icon stk-block-icon stk-block stk-d82d3b9\" data-block-id=\"d82d3b9\"><style>.stk-d82d3b9 .stk--svg-wrapper 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data-block-id=\"d5e53a0\"><style>.stk-d5e53a0 .stk-block-heading__text{color:#000000 !important;font-weight:500 !important;font-family:\"ArgentumSans\", Sans-serif !important;}<\/style><h4 class=\"stk-block-heading__text has-text-color\"><span style=\"color: #000000;\" class=\"stk-highlight\">Competencias generales<\/span><\/h4><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-e54d8ba stk-block-accordion__content\" data-v=\"4\" data-block-id=\"e54d8ba\"><style>.stk-e54d8ba {margin-top:-30px !important;}<\/style><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-e54d8ba-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-e54d8ba-inner-blocks\">\n<p>La Facultad de Matem\u00e1ticas, actualmente Secci\u00f3n de Matem\u00e1ticas, en su af\u00e1n por ofrecer unos estudios dentro de esta disciplina adaptados al Espacio Europeo de Educaci\u00f3n Superior oferta desde el curso 2010-2011 el Grado en Matem\u00e1ticas. Este nuevo Grado sustituy\u00f3 los t\u00edtulos de Licenciatura en Matem\u00e1ticas y Licenciatura en Ciencias y T\u00e9cnicas Estad\u00edsticas. El Grado posibilita la elecci\u00f3n de dos itinerarios en la configuraci\u00f3n de la optatividad, Matem\u00e1tica Pura y Aplicada y Estad\u00edstica e Investigaci\u00f3n Operativa.<\/p>\n\n\n\n<p>Esta oferta proporcionar\u00e1 un notable nivel cient\u00edfico e investigador al alumnado que opte por estos estudios, prepar\u00e1ndoles para un futuro con alto grado de competitividad, que les abrir\u00e1 numerosas puertas en el mundo laboral, y tambi\u00e9n les posibilitar\u00e1 la realizaci\u00f3n de m\u00e1steres en diferentes campos de la ciencia.<\/p>\n\n\n\n<p>Siguiendo las recomendaciones del Libro Blanco del T\u00edtulo de Grado en Matem\u00e1ticas, las competencias generales del grado son:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Conocer la naturaleza, m\u00e9todos y fines de los distintos campos de la Matem\u00e1tica junto con cierta perspectiva hist\u00f3rica de su desarrollo.<\/li>\n\n\n\n<li>Reconocer la presencia de la Matem\u00e1tica subyacente en la Naturaleza, en la Ciencia, en la Tecnolog\u00eda y en el Arte. Reconocer a la Matem\u00e1tica como parte integrante de la Educaci\u00f3n y la Cultura.<\/li>\n\n\n\n<li>Desarrollar las capacidades anal\u00edticas y de abstracci\u00f3n, la intuici\u00f3n y el pensamiento l\u00f3gico y riguroso a trav\u00e9s del estudio de la Matem\u00e1tica.<\/li>\n\n\n\n<li>Capacitar para la utilizaci\u00f3n de los conocimientos te\u00f3ricos y pr\u00e1cticos adquiridos en la definici\u00f3n y planteamiento de problemas y en la b\u00fasqueda de sus soluciones tanto en contextos acad\u00e9micos como profesionales.<\/li>\n\n\n\n<li>Preparar para posteriores estudios especializados, tanto en una disciplina matem\u00e1tica como en cualquiera de las ciencias que requieran buenos fundamentos matem\u00e1ticos.<\/li>\n<\/ul>\n<\/div><\/div><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-stackable-accordion stk-block-accordion stk-inner-blocks stk-block-content stk-block stk-c85b35c is-style-default\" id=\"competencias-transversales\" 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!important;font-family:\"ArgentumSans\", Sans-serif !important;}<\/style><h4 class=\"stk-block-heading__text has-text-color\"><span style=\"color: #000000;\" class=\"stk-highlight\">Competencias b\u00e1sicas y espec\u00edficas<\/span><\/h4><\/div>\n<\/div><\/div>\n<\/div><\/div><\/summary>\n\n\n\n<div class=\"wp-block-stackable-column stk-block-column stk-column stk-block stk-feeffb5 stk-block-accordion__content\" data-v=\"4\" data-block-id=\"feeffb5\"><style>.stk-feeffb5 {margin-top:-30px !important;}<\/style><div class=\"stk-column-wrapper stk-block-column__content stk-container stk-feeffb5-container stk--no-background stk--no-padding\"><div class=\"stk-block-content stk-inner-blocks stk-feeffb5-inner-blocks\">\n<p>De acuerdo a lo establecido en el Marco de Cualificaciones del EEES (conocidos como descriptores de Dubl\u00edn, o QF-EHEA en sus siglas en ingl\u00e9s), se exige que el estudiantado adquieran durante sus estudios las siguientes competencias b\u00e1sicas:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Demostrar poseer y comprender conocimientos en el \u00e1rea de las Matem\u00e1ticas a partir de la base de la educaci\u00f3n secundaria general, a un nivel que, si bien se apoya en libros de texto avanzados, incluye tambi\u00e9n algunos aspectos que implican conocimientos procedentes de la vanguardia en el estudio de las Matem\u00e1ticas.<\/li>\n\n\n\n<li>Saber aplicar esos conocimientos a su trabajo o vocaci\u00f3n de una forma profesional y poseer las competencias que suelen demostrarse por medio de la elaboraci\u00f3n y defensa de argumentos y la resoluci\u00f3n de problemas dentro del \u00e1rea de las Matem\u00e1ticas.<\/li>\n\n\n\n<li>Tener la capacidad de reunir e interpretar datos relevantes, dentro del \u00e1rea de las Matem\u00e1ticas, para emitir juicios que incluyan una reflexi\u00f3n sobre temas relevantes de \u00edndole social, cient\u00edfica o \u00e9tica.<\/li>\n\n\n\n<li>Poder transmitir informaci\u00f3n, ideas, problemas y soluciones a un p\u00fablico tanto especializado como no especializado.<\/li>\n\n\n\n<li>Haber desarrollado aquellas habilidades de aprendizaje necesarias para emprender estudios posteriores con un alto grado de autonom\u00eda.<\/li>\n<\/ul>\n\n\n\n<p>Adem\u00e1s, en base a las propuestas del Libro Blanco del T\u00edtulo de Grado en Matem\u00e1ticas, los estudiantes deben adquirir durante sus estudios las siguientes competencias de car\u00e1cter espec\u00edfico para obtener el t\u00edtulo:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Comprender y utilizar el lenguaje matem\u00e1tico. Adquirir la capacidad para enunciar proposiciones en distintos campos de la Matem\u00e1tica, para construir demostraciones y para transmitir los conocimientos matem\u00e1ticos adquiridos.<\/li>\n\n\n\n<li>Conocer demostraciones rigurosas de algunos teoremas cl\u00e1sicos en distintas \u00e1reas de la Matem\u00e1tica.<\/li>\n\n\n\n<li>Asimilar la definici\u00f3n de un nuevo objeto matem\u00e1tico, en t\u00e9rminos de otros ya conocidos, y ser capaz de utilizar este objeto en diferentes contextos.<\/li>\n\n\n\n<li>Saber abstraer las propiedades estructurales (de objetos matem\u00e1ticos, de la realidad observada, y de otros \u00e1mbitos) distingui\u00e9ndolas de aquellas puramente ocasionales y poder comprobarlas con demostraciones o refutarlas con contraejemplos, as\u00ed como identificar errores en razonamientos incorrectos.<\/li>\n\n\n\n<li>Aprender de manera aut\u00f3noma nuevos conocimientos y t\u00e9cnicas.<\/li>\n\n\n\n<li>Proponer, analizar, validar e interpretar modelos de situaciones reales sencillas, utilizando las herramientas matem\u00e1ticas m\u00e1s adecuadas a los fines que se persigan.<\/li>\n\n\n\n<li>Resolver problemas de Matem\u00e1ticas, mediante habilidades de c\u00e1lculo b\u00e1sico y otros, planificando su resoluci\u00f3n en funci\u00f3n de las herramientas de que se disponga y de las restricciones de tiempo y recursos.<\/li>\n\n\n\n<li>Utilizar aplicaciones inform\u00e1ticas de an\u00e1lisis estad\u00edstico, c\u00e1lculo num\u00e9rico y simb\u00f3lico, visualizaci\u00f3n gr\u00e1fica, optimizaci\u00f3n u otras para experimentar en Matem\u00e1ticas y resolver problemas.<\/li>\n\n\n\n<li>Desarrollar programas que resuelvan problemas matem\u00e1ticos utilizando para cada caso el entorno computacional adecuado.<\/li>\n<\/ul>\n<\/div><\/div><\/div>\n<\/details>\n<\/div><\/div><\/div>\n<\/div><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Comp\u00e9tences : Les comp\u00e9tences d\u00e9signent l\u2019ensemble des connaissances, des aptitudes et des attitudes que les \u00e9tudiants acqui\u00e8rent tout au long de leur programme d\u2019\u00e9tudes, en vue de les pr\u00e9parer \u00e0 exercer des activit\u00e9s professionnelles. Comp\u00e9tences g\u00e9n\u00e9rales : La Facult\u00e9 de math\u00e9matiques, actuellement la Section de math\u00e9matiques, s\u2019engage \u00e0 offrir des \u00e9tudes adapt\u00e9es au sein de cette discipline\u2026<\/p>","protected":false},"author":1,"featured_media":0,"parent":270,"menu_order":1,"comment_status":"closed","ping_status":"closed","template":"templates\/template-frontpage.php","meta":{"footnotes":""},"class_list":["post-38","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.ull.es\/grados\/matematicas\/fr\/wp-json\/wp\/v2\/pages\/38","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ull.es\/grados\/matematicas\/fr\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ull.es\/grados\/matematicas\/fr\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ull.es\/grados\/matematicas\/fr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ull.es\/grados\/matematicas\/fr\/wp-json\/wp\/v2\/comments?post=38"}],"version-history":[{"count":21,"href":"https:\/\/www.ull.es\/grados\/matematicas\/fr\/wp-json\/wp\/v2\/pages\/38\/revisions"}],"predecessor-version":[{"id":1524,"href":"https:\/\/www.ull.es\/grados\/matematicas\/fr\/wp-json\/wp\/v2\/pages\/38\/revisions\/1524"}],"up":[{"embeddable":true,"href":"https:\/\/www.ull.es\/grados\/matematicas\/fr\/wp-json\/wp\/v2\/pages\/270"}],"wp:attachment":[{"href":"https:\/\/www.ull.es\/grados\/matematicas\/fr\/wp-json\/wp\/v2\/media?parent=38"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}