{"id":1638,"date":"2026-09-17T22:51:37","date_gmt":"2026-09-17T20:51:37","guid":{"rendered":"https:\/\/vicerrectorias.utp.edu.co\/academica\/?page_id=1638"},"modified":"2026-09-29T18:43:12","modified_gmt":"2026-09-29T16:43:12","slug":"proyecto","status":"publish","type":"page","link":"https:\/\/vicerrectorias.utp.edu.co\/academica\/proyecto\/","title":{"rendered":"Material Asincr\u00f3nico de Apoyo para Estudiantes con Dificultades Acad\u00e9micas"},"content":{"rendered":"\n<div style=\"height:131px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<div class=\"wp-block-cover aligncenter has-large-font-size\" style=\"margin-top:0;padding-top:5vw;padding-right:5vw;padding-bottom:5vw;padding-left:5vw;min-height:1301px;aspect-ratio:unset;\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-100 has-background-dim has-background-gradient\" style=\"background:linear-gradient(90deg,rgb(147,39,143) 53%,rgb(247,23,124) 53%)\"><\/span><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<div class=\"wp-block-group wp-container-content-9cfa9a5a\"><div class=\"wp-block-group__inner-container is-layout-constrained wp-container-core-group-is-layout-7cac7b9f wp-block-group-is-layout-constrained\">\n<div style=\"height:96px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-gallery has-nested-images columns-default is-cropped wp-block-gallery-1 is-layout-flex wp-block-gallery-is-layout-flex\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"831\" height=\"1156\" data-id=\"1731\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Diseno-sin-titulo-9.png\" alt=\"\" class=\"wp-image-1731\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Diseno-sin-titulo-9.png 831w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Diseno-sin-titulo-9-216x300.png 216w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Diseno-sin-titulo-9-736x1024.png 736w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Diseno-sin-titulo-9-768x1068.png 768w\" sizes=\"auto, (max-width: 831px) 100vw, 831px\" \/><\/figure>\n<\/figure>\n\n\n\n<div style=\"height:48px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h2 class=\"wp-block-heading alignwide has-white-color has-text-color\" style=\"padding-left:32px;font-size:29px;font-style:normal;font-weight:400;line-height:1;text-transform:uppercase\">te acompa\u00f1amos<\/h2>\n\n\n\n<div style=\"height:63px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-text-align-center wp-block-paragraph\">\u00a1Fortalece tus habilidades Comunicativas y de razonamiento cuantitativo!<\/p>\n\n\n\n<div style=\"height:47px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\" style=\"font-style:normal;font-weight:400\">Ponemos a disposici\u00f3n de la comunidad un compendio especializado de gu\u00edas did\u00e1cticas dise\u00f1adas para acompa\u00f1ar y enriquecer el proceso de aprendizaje universitario. En este espacio virtual encontrar\u00e1s material estructurado sobre competencias de lectura cr\u00edtica, escritura de textos acad\u00e9micos y comunicaci\u00f3n oral, as\u00ed como m\u00f3dulos tem\u00e1ticos de apoyo en Matem\u00e1ticas Fundamentales, C\u00e1lculo Diferencial y C\u00e1lculo Integral .<\/p>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><\/p>\n<\/div><\/div>\n<\/div><\/div>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"has-x-large-font-size wp-block-paragraph\"><strong>Talleres abiertos a la comunidad estudiantil<\/strong><\/p>\n\n\n\n<div class=\"wp-block-cover alignfull\" style=\"padding-top:4vw;padding-right:4vw;padding-bottom:4vw;padding-left:4vw;min-height:66vh;aspect-ratio:unset;\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-black-background-color has-background-dim-100 has-background-dim\"><\/span><div class=\"wp-block-cover__inner-container is-layout-flow wp-block-cover-is-layout-flow\">\n<div class=\"wp-block-group is-content-justification-center is-nowrap is-layout-flex wp-container-core-group-is-layout-e60ef384 wp-block-group-is-layout-flex\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"819\" height=\"1024\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/WhatsApp-Image-2026-09-17-at-10.34.44-AM-1-1-819x1024.jpeg\" alt=\"\" class=\"wp-image-1687\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/WhatsApp-Image-2026-09-17-at-10.34.44-AM-1-1-819x1024.jpeg 819w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/WhatsApp-Image-2026-09-17-at-10.34.44-AM-1-1-240x300.jpeg 240w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/WhatsApp-Image-2026-09-17-at-10.34.44-AM-1-1-768x960.jpeg 768w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/WhatsApp-Image-2026-09-17-at-10.34.44-AM-1-1.jpeg 1080w\" sizes=\"auto, (max-width: 819px) 100vw, 819px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"819\" height=\"1024\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/WhatsApp-Image-2026-09-17-at-10.34.44-AM-819x1024.jpeg\" alt=\"\" class=\"wp-image-1688\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/WhatsApp-Image-2026-09-17-at-10.34.44-AM-819x1024.jpeg 819w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/WhatsApp-Image-2026-09-17-at-10.34.44-AM-240x300.jpeg 240w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/WhatsApp-Image-2026-09-17-at-10.34.44-AM-768x960.jpeg 768w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/WhatsApp-Image-2026-09-17-at-10.34.44-AM.jpeg 1080w\" sizes=\"auto, (max-width: 819px) 100vw, 819px\" \/><\/figure>\n<\/div>\n<\/div><\/div>\n\n\n\n<div style=\"height:69px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"181\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-11-1024x181.png\" alt=\"\" class=\"wp-image-1788\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-11-1024x181.png 1024w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-11-300x53.png 300w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-11-768x136.png 768w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-11-1536x272.png 1536w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-11-2048x362.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<div style=\"height:94px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-cover is-light\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\" style=\"background-color:#c0fd19\"><\/span><div class=\"wp-block-cover__inner-container is-layout-constrained wp-block-cover-is-layout-constrained\">\n<div style=\"height:74px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"181\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-1-1024x181.png\" alt=\"\" class=\"wp-image-1735\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-1-1024x181.png 1024w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-1-300x53.png 300w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-1-768x136.png 768w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-1-1536x272.png 1536w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-1-2048x362.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"181\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-5-1-1024x181.png\" alt=\"\" class=\"wp-image-1762\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-5-1-1024x181.png 1024w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-5-1-300x53.png 300w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-5-1-768x136.png 768w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-5-1-1536x272.png 1536w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-5-1-2048x362.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-style:normal;font-weight:400\">Encuentra gu\u00edas dise\u00f1adas para acompa\u00f1arte en el desarrollo de tus habilidades matem\u00e1ticas y ayudarte a comprender, practicar y resolver diferentes situaciones acad\u00e9micas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-style:normal;font-weight:400\">Aborda temas como <strong>\u00e1lgebra, ecuaciones, inecuaciones, funciones, trigonometr\u00eda, l\u00edmites, derivadas e integrales<\/strong>, entre otros.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-style:normal;font-weight:400\"><strong>Aprende a tu ritmo, practica y fortalece tus conocimientos.<\/strong><\/p>\n\n\n\n<details class=\"wp-block-details has-large-font-size is-layout-flow wp-block-details-is-layout-flow\"><summary>GU\u00cdAS <\/summary>\n<details class=\"wp-block-details has-background has-medium-font-size is-layout-flow wp-block-details-is-layout-flow\" style=\"background-color:#c0fd19\"><summary>Gu\u00edas C\u00e1lculo Diferencial <\/summary>\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file has-background\" style=\"background-color:#c0fd19\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/1.-Trigonometria.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de 1. Trigonometr\u00eda.\"><\/object><a id=\"wp-block-file--media-c6fab0ec-590c-44eb-ade8-06e5060cbddb\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/1.-Trigonometria.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">1. Trigonometr\u00eda<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/1.-Trigonometria.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-c6fab0ec-590c-44eb-ade8-06e5060cbddb\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file has-background\" style=\"background-color:#c0fd19\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/2.-Limites-y-continuidad.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de 2. L\u00edmites y continuidad.\"><\/object><a id=\"wp-block-file--media-857218f8-5e5b-41f8-b6d3-261c7918aceb\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/2.-Limites-y-continuidad.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">2. L\u00edmites y continuidad<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/2.-Limites-y-continuidad.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-857218f8-5e5b-41f8-b6d3-261c7918aceb\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file has-background\" style=\"background-color:#c0fd19\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/3.-Derivadas.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de 3. Derivadas.\"><\/object><a id=\"wp-block-file--media-d9a36973-5b76-4715-b343-c9fd3a4a9e5c\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/3.-Derivadas.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">3. Derivadas<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/3.-Derivadas.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-d9a36973-5b76-4715-b343-c9fd3a4a9e5c\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:72px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/4.-Aplicacion-de-la-Derivadas.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de 4. Aplicaci\u00f3n de la  Derivadas.\"><\/object><a id=\"wp-block-file--media-6f1231dd-e841-4ea1-b775-4b52bdb15256\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/4.-Aplicacion-de-la-Derivadas.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">4. Aplicaci\u00f3n de la  Derivadas<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/4.-Aplicacion-de-la-Derivadas.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-6f1231dd-e841-4ea1-b775-4b52bdb15256\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:84px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Calculo-Diferencial-guias.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de C\u00e1lculo Diferencial, gu\u00edas.\"><\/object><a id=\"wp-block-file--media-442b5984-992f-4859-9937-a156216f8d52\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Calculo-Diferencial-guias.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">C\u00e1lculo Diferencial, gu\u00edas<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Calculo-Diferencial-guias.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-442b5984-992f-4859-9937-a156216f8d52\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:69px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Compendio-de-guias-de-calculo-diferencial.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de Compendio de gu\u00edas de c\u00e1lculo diferencial.\"><\/object><a id=\"wp-block-file--media-c9f5dea5-ca2e-4e53-b0c9-3433d136c96f\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Compendio-de-guias-de-calculo-diferencial.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Compendio de gu\u00edas de c\u00e1lculo diferencial<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Compendio-de-guias-de-calculo-diferencial.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-c9f5dea5-ca2e-4e53-b0c9-3433d136c96f\">Descarga<\/a><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-details has-background has-medium-font-size is-layout-flow wp-block-details-is-layout-flow\" style=\"background-color:#fc00ad\"><summary>Gu\u00edas C\u00e1lculo Integral<\/summary>\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-1-Sumas-de-Riemann.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de Guia 1 Sumas de Riemann.\"><\/object><a id=\"wp-block-file--media-cc48d718-7311-493d-bdfc-08e8df62038a\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-1-Sumas-de-Riemann.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Guia 1 Sumas de Riemann<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-1-Sumas-de-Riemann.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-cc48d718-7311-493d-bdfc-08e8df62038a\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:83px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-2-Metodos-de-Integracion.pdf\" type=\"application\/pdf\" style=\"width:100%;height:606px\" aria-label=\"Incrustado de Guia 2 Metodos de Integracion.\"><\/object><a id=\"wp-block-file--media-4f3796aa-4845-46db-975c-30a9dc97ecb1\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-2-Metodos-de-Integracion.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Guia 2 Metodos de Integracion<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-2-Metodos-de-Integracion.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-4f3796aa-4845-46db-975c-30a9dc97ecb1\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-2-Metodos-de-Integracion-1.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de Guia 2 Metodos de Integracion.\"><\/object><a id=\"wp-block-file--media-bdde4fd4-bfd6-403c-9695-9dd02fe4711a\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-2-Metodos-de-Integracion-1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Guia 2 Metodos de Integracion<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-2-Metodos-de-Integracion-1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-bdde4fd4-bfd6-403c-9695-9dd02fe4711a\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-3-Solidos-de-Revolucion.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de Guia 3 Solidos de Revolucion.\"><\/object><a id=\"wp-block-file--media-e79ffbe2-4775-4f2e-b836-47293fdf737f\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-3-Solidos-de-Revolucion.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Guia 3 Solidos de Revolucion<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-3-Solidos-de-Revolucion.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-e79ffbe2-4775-4f2e-b836-47293fdf737f\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-4-Regla-de-LHopital.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de Guia 4 Regla de LHopital.\"><\/object><a id=\"wp-block-file--media-9a58a89b-551d-436b-b987-19b6b1acfce7\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-4-Regla-de-LHopital.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Guia 4 Regla de LHopital<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-4-Regla-de-LHopital.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-9a58a89b-551d-436b-b987-19b6b1acfce7\">Descarga<\/a><\/div>\n<\/details>\n\n\n\n<details class=\"wp-block-details has-background has-medium-font-size is-layout-flow wp-block-details-is-layout-flow\" style=\"background-color:#93278f\"><summary>Gu\u00edas Matem\u00e1ticas Fundamentales  <\/summary>\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-1-FACTORIZACION-.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de GUIA No. 1 FACTORIZACI\u00d3N.\"><\/object><a id=\"wp-block-file--media-b6e3f9b0-9576-4291-89dc-6090e278aac4\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-1-FACTORIZACION-.pdf\">GUIA No. 1 FACTORIZACI\u00d3N<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-1-FACTORIZACION-.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-b6e3f9b0-9576-4291-89dc-6090e278aac4\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:59px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-2-ECUACIONES-LINEALES-Y-CUADRATICAS.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de GUIA No. 2 ECUACIONES LINEALES Y CUADR\u00c1TICAS.\"><\/object><a id=\"wp-block-file--media-24ee10b9-f0e7-4930-830c-5438bc5023b5\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-2-ECUACIONES-LINEALES-Y-CUADRATICAS.pdf\">GUIA No. 2 ECUACIONES LINEALES Y CUADR\u00c1TICAS<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-2-ECUACIONES-LINEALES-Y-CUADRATICAS.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-24ee10b9-f0e7-4930-830c-5438bc5023b5\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:71px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-3-DESIGUALDADES-LINEALES-Y-NO-LINEALES-.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de GUIA No. 3 DESIGUALDADES LINEALES Y NO LINEALES.\"><\/object><a id=\"wp-block-file--media-c29e675e-6f50-4391-b4b6-7285279ea1ad\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-3-DESIGUALDADES-LINEALES-Y-NO-LINEALES-.pdf\">GUIA No. 3 DESIGUALDADES LINEALES Y NO LINEALES<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-3-DESIGUALDADES-LINEALES-Y-NO-LINEALES-.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-c29e675e-6f50-4391-b4b6-7285279ea1ad\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:74px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-4-LINEA-RECTA.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de GUIA No. 4 LINEA RECTA.\"><\/object><a id=\"wp-block-file--media-2786cccd-d0f4-442a-a05d-c1e965a0bc5c\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-4-LINEA-RECTA.pdf\">GUIA No. 4 LINEA RECTA<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-4-LINEA-RECTA.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-2786cccd-d0f4-442a-a05d-c1e965a0bc5c\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:79px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-5-FUNCIONES-.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de GUIA No. 5 FUNCIONES.\"><\/object><a id=\"wp-block-file--media-6a64ff8b-0977-494a-88a8-8e052c9167d1\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-5-FUNCIONES-.pdf\">GUIA No. 5 FUNCIONES<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/GUIA-No.-5-FUNCIONES-.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-6a64ff8b-0977-494a-88a8-8e052c9167d1\">Descarga<\/a><\/div>\n<\/details>\n<\/details>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"181\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-2-1-1024x181.png\" alt=\"\" class=\"wp-image-1765\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-2-1-1024x181.png 1024w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-2-1-300x53.png 300w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-2-1-768x136.png 768w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-2-1-1536x272.png 1536w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-2-1-2048x362.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>Aprende a tu ritmo con nuestros video-tutoriales<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-style:normal;font-weight:400\">Encuentra recursos audiovisuales dise\u00f1ados para <strong>explicar de manera clara y pr\u00e1ctica temas de razonamiento cuantitativo<\/strong><\/p>\n\n\n\n<div class=\"wp-block-cover is-light\"><img loading=\"lazy\" decoding=\"async\" width=\"474\" height=\"842\" class=\"wp-block-cover__image-background wp-image-1752 size-full\" alt=\"\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Create-Stunning-Instagram-Story-Solid-Backgrounds.jpg\" data-object-fit=\"cover\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Create-Stunning-Instagram-Story-Solid-Backgrounds.jpg 474w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Create-Stunning-Instagram-Story-Solid-Backgrounds-169x300.jpg 169w\" sizes=\"auto, (max-width: 474px) 100vw, 474px\" \/><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim-0 has-background-dim\" style=\"background-color:#dedede\"><\/span><div class=\"wp-block-cover__inner-container is-layout-constrained wp-block-cover-is-layout-constrained\">\n<p class=\"wp-block-paragraph\">Estos videos te permitir\u00e1n <strong>reforzar conceptos, resolver dudas y repasar contenidos<\/strong> cuando lo necesites, complementando las gu\u00edas y otros espacios de acompa\u00f1amiento acad\u00e9mico.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"181\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-12-1024x181.png\" alt=\"\" class=\"wp-image-1806\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-12-1024x181.png 1024w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-12-300x53.png 300w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-12-768x136.png 768w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-12-1536x272.png 1536w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-12-2048x362.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Limites F\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/3YzPgKMgbug?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Derivadas Final\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/TU_HEgRr-Pw?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n<\/div><\/div>\n<\/div>\n<\/div>\n<\/div><\/div>\n\n\n\n<div style=\"height:78px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"181\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-11-1-1024x181.png\" alt=\"\" class=\"wp-image-1789\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-11-1-1024x181.png 1024w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-11-1-300x53.png 300w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-11-1-768x136.png 768w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-11-1-1536x272.png 1536w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-11-1-2048x362.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-cover is-light\"><span aria-hidden=\"true\" class=\"wp-block-cover__background has-background-dim\" style=\"background-color:#f7177c\"><\/span><div class=\"wp-block-cover__inner-container is-layout-constrained wp-block-cover-is-layout-constrained\">\n<div style=\"height:100px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"181\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-7-1024x181.png\" alt=\"\" class=\"wp-image-1772\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-7-1024x181.png 1024w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-7-300x53.png 300w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-7-768x136.png 768w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-7-1536x272.png 1536w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-7-2048x362.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<div style=\"height:33px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><\/div>\n<\/div>\n\n\n\n<div style=\"height:34px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"181\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-8-1024x181.png\" alt=\"\" class=\"wp-image-1773\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-8-1024x181.png 1024w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-8-300x53.png 300w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-8-768x136.png 768w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-8-1536x272.png 1536w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-8-2048x362.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-style:normal;font-weight:400\">Explora gu\u00edas did\u00e1cticas pensadas para fortalecer tus competencias en <strong>lectura, escritura y oralidad<\/strong>, brind\u00e1ndote herramientas para desenvolverte mejor en diferentes situaciones acad\u00e9micas.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-style:normal;font-weight:400\">Encuentra contenidos sobre <strong>escritura de textos acad\u00e9micos, anteproyectos de grado, tipolog\u00edas textuales, an\u00e1lisis de textos, cohesi\u00f3n y progresi\u00f3n tem\u00e1tica<\/strong>, adem\u00e1s de herramientas para la oralidad.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\" style=\"font-style:normal;font-weight:400\">Lee, escribe, comunica tus ideas y fortalece tu trayectoria acad\u00e9mica.<\/p>\n\n\n\n<div style=\"height:43px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-is-layout-8f761849 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\" style=\"flex-basis:100%\">\n<details class=\"wp-block-details has-medium-font-size is-layout-flow wp-block-details-is-layout-flow\"><summary><strong>GU\u00cdAS<\/strong><\/summary>\n<div style=\"height:36px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file has-background\" style=\"background-color:#c0fd19\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-1-escritura-de-anteproyecto-3.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de Gu\u00eda 1 escritura de anteproyecto.\"><\/object><a id=\"wp-block-file--media-6bd37933-42d1-4582-8dc3-3468205b6c0b\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-1-escritura-de-anteproyecto-3.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Gu\u00eda 1 escritura de anteproyecto<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-1-escritura-de-anteproyecto-3.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-6bd37933-42d1-4582-8dc3-3468205b6c0b\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:41px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file has-background\" style=\"background-color:#c0fd19\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-2-escritura-de-textos-academicos-1.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de Gu\u00eda 2 escritura de textos acad\u00e9micos.\"><\/object><a id=\"wp-block-file--media-a80019ef-f869-4c05-b757-1cc30291bebf\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-2-escritura-de-textos-academicos-1.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Gu\u00eda 2 escritura de textos acad\u00e9micos<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-2-escritura-de-textos-academicos-1.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-a80019ef-f869-4c05-b757-1cc30291bebf\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:52px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file has-background\" style=\"background-color:#c0fd19\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-3-Tipologias-textuales-para-la-comprension-y-el-analisis-critico.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de Gu\u00eda 3 Tipolog\u00edas textuales para la comprensi\u00f3n y el an\u00e1lisis cr\u00edtico.\"><\/object><a id=\"wp-block-file--media-025e550c-26b3-4a14-8672-079346307804\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-3-Tipologias-textuales-para-la-comprension-y-el-analisis-critico.pdf\">Gu\u00eda 3 Tipolog\u00edas textuales para la comprensi\u00f3n y el an\u00e1lisis cr\u00edtico<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-3-Tipologias-textuales-para-la-comprension-y-el-analisis-critico.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-025e550c-26b3-4a14-8672-079346307804\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:41px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file has-background\" style=\"background-color:#c0fd19\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-4-Cohesion-y-progresion-tematica-para-la-comprension-textual.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de Gu\u00eda 4 Cohesi\u00f3n y progresi\u00f3n tem\u00e1tica para la comprensi\u00f3n textual.\"><\/object><a id=\"wp-block-file--media-b76d8d69-9730-4799-a3a7-c4bfb0874e8c\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-4-Cohesion-y-progresion-tematica-para-la-comprension-textual.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Gu\u00eda 4 Cohesi\u00f3n y progresi\u00f3n tem\u00e1tica para la comprensi\u00f3n textual<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-4-Cohesion-y-progresion-tematica-para-la-comprension-textual.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-b76d8d69-9730-4799-a3a7-c4bfb0874e8c\">Descarga<\/a><\/div>\n\n\n\n<div style=\"height:47px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div data-wp-interactive=\"core\/file\" class=\"wp-block-file has-background\" style=\"background-color:#c0fd19\"><object data-wp-bind--hidden=\"!state.hasPdfPreview\" hidden class=\"wp-block-file__embed\" data=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-5-Herramientas-para-la-oralidad.pdf\" type=\"application\/pdf\" style=\"width:100%;height:600px\" aria-label=\"Incrustado de Gu\u00eda 5 Herramientas para la oralidad.\"><\/object><a id=\"wp-block-file--media-2f1c5f5e-dda6-45cf-91c6-83e7146f31b6\" href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-5-Herramientas-para-la-oralidad.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Gu\u00eda 5 Herramientas para la oralidad<\/a><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Guia-5-Herramientas-para-la-oralidad.pdf\" class=\"wp-block-file__button wp-element-button\" download aria-describedby=\"wp-block-file--media-2f1c5f5e-dda6-45cf-91c6-83e7146f31b6\">Descarga<\/a><\/div>\n<\/details>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"181\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-9-1024x181.png\" alt=\"\" class=\"wp-image-1774\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-9-1024x181.png 1024w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-9-300x53.png 300w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-9-768x136.png 768w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-9-1536x272.png 1536w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-9-2048x362.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p class=\"has-medium-font-size wp-block-paragraph\"><strong>Aprende a tu ritmo con nuestros video-tutoriales<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Encuentra recursos audiovisuales dise\u00f1ados para <strong>explicar de manera clara y pr\u00e1ctica temas de <\/strong>habilidades comunicativas<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"181\" src=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-12-1-1024x181.png\" alt=\"\" class=\"wp-image-1807\" srcset=\"https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-12-1-1024x181.png 1024w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-12-1-300x53.png 300w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-12-1-768x136.png 768w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-12-1-1536x272.png 1536w, https:\/\/vicerrectorias.utp.edu.co\/academica\/wp-content\/uploads\/sites\/9\/Banner-escolar-de-bienvenida-colorido-ilustrativo-12-1-2048x362.png 2048w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Estrategias para una buena exposici\u00f3n oral\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/-oePWVlqRVc?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<figure class=\"wp-block-embed 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is-layout-flow wp-block-group-is-layout-flow\">\n<div class=\"wp-block-group alignfull has-small-font-size is-content-justification-space-between is-nowrap is-layout-flex wp-container-core-group-is-layout-4d5d3555 wp-block-group-is-layout-flex\"><h1 class=\"wp-block-site-title has-small-font-size wp-container-content-b0223bd5\"><a href=\"https:\/\/vicerrectorias.utp.edu.co\/academica\" target=\"_self\" rel=\"home\">Vicerrector\u00eda Acad\u00e9mica<\/a><\/h1>\n\n\n<p class=\"wp-block-paragraph\">www.mineducacion.gov.co<\/p>\n\n\n\n<ul class=\"wp-block-social-links has-small-icon-size is-style-logos-only wp-container-content-b0223bd5 is-content-justification-right is-nowrap is-layout-flex wp-container-core-social-links-is-layout-68a84f0a wp-block-social-links-is-layout-flex\"><li class=\"wp-social-link wp-social-link-instagram wp-block-social-link\"><a href=\"#mineducacioncol\" class=\"wp-block-social-link-anchor\"><svg width=\"24\" height=\"24\" viewBox=\"0 0 24 24\" version=\"1.1\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" aria-hidden=\"true\" focusable=\"false\"><path d=\"M12,4.622c2.403,0,2.688,0.009,3.637,0.052c0.877,0.04,1.354,0.187,1.671,0.31c0.42,0.163,0.72,0.358,1.035,0.673 c0.315,0.315,0.51,0.615,0.673,1.035c0.123,0.317,0.27,0.794,0.31,1.671c0.043,0.949,0.052,1.234,0.052,3.637 s-0.009,2.688-0.052,3.637c-0.04,0.877-0.187,1.354-0.31,1.671c-0.163,0.42-0.358,0.72-0.673,1.035 c-0.315,0.315-0.615,0.51-1.035,0.673c-0.317,0.123-0.794,0.27-1.671,0.31c-0.949,0.043-1.233,0.052-3.637,0.052 s-2.688-0.009-3.637-0.052c-0.877-0.04-1.354-0.187-1.671-0.31c-0.42-0.163-0.72-0.358-1.035-0.673 c-0.315-0.315-0.51-0.615-0.673-1.035c-0.123-0.317-0.27-0.794-0.31-1.671C4.631,14.688,4.622,14.403,4.622,12 s0.009-2.688,0.052-3.637c0.04-0.877,0.187-1.354,0.31-1.671c0.163-0.42,0.358-0.72,0.673-1.035 c0.315-0.315,0.615-0.51,1.035-0.673c0.317-0.123,0.794-0.27,1.671-0.31C9.312,4.631,9.597,4.622,12,4.622 M12,3 C9.556,3,9.249,3.01,8.289,3.054C7.331,3.098,6.677,3.25,6.105,3.472C5.513,3.702,5.011,4.01,4.511,4.511 c-0.5,0.5-0.808,1.002-1.038,1.594C3.25,6.677,3.098,7.331,3.054,8.289C3.01,9.249,3,9.556,3,12c0,2.444,0.01,2.751,0.054,3.711 c0.044,0.958,0.196,1.612,0.418,2.185c0.23,0.592,0.538,1.094,1.038,1.594c0.5,0.5,1.002,0.808,1.594,1.038 c0.572,0.222,1.227,0.375,2.185,0.418C9.249,20.99,9.556,21,12,21s2.751-0.01,3.711-0.054c0.958-0.044,1.612-0.196,2.185-0.418 c0.592-0.23,1.094-0.538,1.594-1.038c0.5-0.5,0.808-1.002,1.038-1.594c0.222-0.572,0.375-1.227,0.418-2.185 C20.99,14.751,21,14.444,21,12s-0.01-2.751-0.054-3.711c-0.044-0.958-0.196-1.612-0.418-2.185c-0.23-0.592-0.538-1.094-1.038-1.594 c-0.5-0.5-1.002-0.808-1.594-1.038c-0.572-0.222-1.227-0.375-2.185-0.418C14.751,3.01,14.444,3,12,3L12,3z M12,7.378 c-2.552,0-4.622,2.069-4.622,4.622S9.448,16.622,12,16.622s4.622-2.069,4.622-4.622S14.552,7.378,12,7.378z M12,15 c-1.657,0-3-1.343-3-3s1.343-3,3-3s3,1.343,3,3S13.657,15,12,15z M16.804,6.116c-0.596,0-1.08,0.484-1.08,1.08 s0.484,1.08,1.08,1.08c0.596,0,1.08-0.484,1.08-1.08S17.401,6.116,16.804,6.116z\"><\/path><\/svg><span class=\"wp-block-social-link-label screen-reader-text\">Instagram<\/span><\/a><\/li>\n\n<li class=\"wp-social-link wp-social-link-x wp-block-social-link\"><a href=\"https:\/\/@mineducacion\" class=\"wp-block-social-link-anchor\"><svg width=\"24\" height=\"24\" viewBox=\"0 0 24 24\" version=\"1.1\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" aria-hidden=\"true\" focusable=\"false\"><path d=\"M13.982 10.622 20.54 3h-1.554l-5.693 6.618L8.745 3H3.5l6.876 10.007L3.5 21h1.554l6.012-6.989L15.868 21h5.245l-7.131-10.378Zm-2.128 2.474-.697-.997-5.543-7.93H8l4.474 6.4.697.996 5.815 8.318h-2.387l-4.745-6.787Z\" \/><\/svg><span class=\"wp-block-social-link-label screen-reader-text\">X<\/span><\/a><\/li><\/ul>\n<\/div>\n<\/div><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Talleres abiertos a la comunidad estudiantil 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