{"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\/en\/plan-de-estudios\/competencias\/","title":{"rendered":"Competencies"},"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>Competencias 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. Competencias generales La Facultad de Matem\u00e1ticas, actualmente Secci\u00f3n de Matem\u00e1ticas, en su af\u00e1n por ofrecer unos estudios dentro de esta disciplina adaptados&#8230;<\/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\/en\/wp-json\/wp\/v2\/pages\/38","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ull.es\/grados\/matematicas\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ull.es\/grados\/matematicas\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ull.es\/grados\/matematicas\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ull.es\/grados\/matematicas\/en\/wp-json\/wp\/v2\/comments?post=38"}],"version-history":[{"count":21,"href":"https:\/\/www.ull.es\/grados\/matematicas\/en\/wp-json\/wp\/v2\/pages\/38\/revisions"}],"predecessor-version":[{"id":1524,"href":"https:\/\/www.ull.es\/grados\/matematicas\/en\/wp-json\/wp\/v2\/pages\/38\/revisions\/1524"}],"up":[{"embeddable":true,"href":"https:\/\/www.ull.es\/grados\/matematicas\/en\/wp-json\/wp\/v2\/pages\/270"}],"wp:attachment":[{"href":"https:\/\/www.ull.es\/grados\/matematicas\/en\/wp-json\/wp\/v2\/media?parent=38"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}