{"id":185320,"date":"2021-03-14T23:06:32","date_gmt":"2021-03-15T04:06:32","guid":{"rendered":"https:\/\/www.ucm.edu.co\/?post_type=programa&#038;p=185320"},"modified":"2021-03-14T23:48:12","modified_gmt":"2021-03-15T04:48:12","slug":"plan-de-estudios","status":"publish","type":"programa","link":"https:\/\/www.ucm.edu.co\/en\/programa\/ingenieria-industrial\/plan-de-estudios\/","title":{"rendered":"Syllabus"},"content":{"rendered":"<div id=\"seccion_areas_plan_estudios\" class=\"texto_gris_tres\">\n\t\t\t<div class=\"area_plan_estudios\">\n\t\t\t<span class=\"color_area_plan_estudios\" style=\"background-color: #669c35\"><\/span>\n\t\t\tBasic sciences\n\t\t<\/div>\n\t\t\t<div class=\"area_plan_estudios\">\n\t\t\t<span class=\"color_area_plan_estudios\" style=\"background-color: #00b5be\"><\/span>\n\t\t\tProfessional\n\t\t<\/div>\n\t\t\t<div class=\"area_plan_estudios\">\n\t\t\t<span class=\"color_area_plan_estudios\" style=\"background-color: #ff9e34\"><\/span>\n\t\t\tSocio-humanistic\n\t\t<\/div>\n\t<\/div>\n\n<div class=\"acordeon plan_estudios\">\n\t\t\t<h3 class=\"periodo abierto texto_azul_tres\">Semester 1<\/h3>\n\t\t<div class=\"contenedor_elementos_apilables isotope\">\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #669c35\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tC\u00e1lculo diferencial\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #669c35\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tGeometr\u00eda anal\u00edtica\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #669c35\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tFundamentos de qu\u00edmica\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tIntroducci\u00f3n a la Ingenier\u00eda Industrial\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">1 Credit<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #ff9e34\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tHumanismo cultura ciudadana\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #ff9e34\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tLenguaje y cultura\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tOptativas del ciclo b\u00e1sico disciplinar\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<h3 class=\"periodo texto_azul_tres\">Semester 2<\/h3>\n\t\t<div class=\"contenedor_elementos_apilables isotope\">\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #ff9e34\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tChristology\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tDibujo para ingenier\u00eda\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tMateriales para ingenier\u00eda\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #669c35\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tLinear algebra\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #669c35\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tC\u00e1lculo integral\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tF\u00edsica mec\u00e1nica\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<h3 class=\"periodo texto_azul_tres\">Semester 3<\/h3>\n\t\t<div class=\"contenedor_elementos_apilables isotope\">\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tEmprenderismo y responsabilidad social\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tProcesos industriales\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tElectrot\u00e9cnia industrial\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tEconomy\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tM\u00e9todos experimentales en f\u00edsica\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #669c35\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tC\u00e1lculo vectorial\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tElectricidad y magnetismo\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<h3 class=\"periodo texto_azul_tres\">Semester 4<\/h3>\n\t\t<div class=\"contenedor_elementos_apilables isotope\">\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #ff9e34\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\t\u00c9tica\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">1 Credit<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tProbabilidad e inferencia estad\u00edstica\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tOrganizaci\u00f3n del trabajo\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tFundamentos de computaci\u00f3n\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tThermodynamics\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tEcuaciones diferenciales\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<h3 class=\"periodo texto_azul_tres\">Semester 5<\/h3>\n\t\t<div class=\"contenedor_elementos_apilables isotope\">\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tModelos de regresi\u00f3n y series de tiempo\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tPlaneaci\u00f3n y control de la producci\u00f3n\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tGesti\u00f3n del talento humano y administraci\u00f3n\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tCostos y presupuestos\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tLegislaci\u00f3n\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tGesti\u00f3n de la tecnolog\u00eda e innovaci\u00f3n\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<h3 class=\"periodo texto_azul_tres\">Semester 6<\/h3>\n\t\t<div class=\"contenedor_elementos_apilables isotope\">\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #ff9e34\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tProfessional Ethics\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">1 Credit<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tExperimental design\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tDise\u00f1o y mantenimiento de plantas\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tControl estad\u00edstico de calidad\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tIngenier\u00eda econ\u00f3mica\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tMetodolog\u00eda de la investigaci\u00f3n\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">1 Credit<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tMarketing\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tContexto profesional\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">1 Credit<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<h3 class=\"periodo texto_azul_tres\">Semester 7<\/h3>\n\t\t<div class=\"contenedor_elementos_apilables isotope\">\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #ff9e34\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tElectiva formaci\u00f3n humanista\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tOptimizaci\u00f3n\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tErgonom\u00eda y seguridad ocupacional\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tGesti\u00f3n financiera\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tElective I\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tOptativa del ciclo profesional\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<h3 class=\"periodo texto_azul_tres\">Semester 8<\/h3>\n\t\t<div class=\"contenedor_elementos_apilables isotope\">\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #ff9e34\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tElectiva formaci\u00f3n humanista\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tInvestigaci\u00f3n operativa\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tLog\u00edstica industrial\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tGesti\u00f3n de proyectos\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tOptativa del ciclo profesional II\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tOptativa del ciclo de integraci\u00f3n I\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<h3 class=\"periodo texto_azul_tres\">Semester 9<\/h3>\n\t\t<div class=\"contenedor_elementos_apilables isotope\">\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #ff9e34\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tElectiva formaci\u00f3n humanista\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tSimulaci\u00f3n\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tSistemas de gesti\u00f3n\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">2 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tElective II\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tOptativa del ciclo de integraci\u00f3n II\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tOptativa del ciclo de integraci\u00f3n III\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<h3 class=\"periodo texto_azul_tres\">Semester 10<\/h3>\n\t\t<div class=\"contenedor_elementos_apilables isotope\">\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tGerencia de proyectos\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">3 Credits<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elemento_apilable texto_azul_cuatro fondo_blanco\" >\n\t\t\t\t\t<div class=\"overlap_elemento_apilable\" style=\"background-color: #00b5be\"><\/div>\n\t\t\t\t\t<div class=\"textos_elemento_apilable\">\n\t\t\t\t\t\t<h4 class=\"texto_azul_cuatro\">\n\t\t\t\t\t\t\tPr\u00e1ctica flexibles\n\t\t\t\t\t\t<\/h4>\n\t\t\t\t\t\t<p class=\"texto_azul_tres texto_pequeno\">11\n\t\t\t\t\t\t\tCr\u00e9ditos<\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n<!-- .acordeon -->\n\n\n\n\n<div style=\"height:20px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>*Note:<\/strong>&nbsp;Students of the Catholic University of Manizales must accredit proficiency in English as a foreign language as a degree requirement in accordance with the criteria in the&nbsp;<a href=\"https:\/\/www.ucm.edu.co\/wp-content\/uploads\/2021\/03\/007_2019_Actualiza_normativa_lengua_extranjera.pdf\" target=\"_blank\" rel=\"noreferrer noopener\">Foreign Language Regulations<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Nota:&nbsp;Los estudiantes de la Universidad Cat\u00f3lica de Manizales deben acreditar suficiencia en ingl\u00e9s como lengua extranjera como requisito de grado de acuerdo con los criterios en la&nbsp;Reglamentaci\u00f3n de Lengua Extranjera<\/p>","protected":false},"featured_media":0,"parent":185305,"menu_order":447,"template":"","modalidades":[],"centros_tutoriales":[],"niveles_formacion":[],"cats_programa":[],"class_list":["post-185320","programa","type-programa","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Plan de estudios - UCM - Universidad Cat\u00f3lica de Manizales<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.ucm.edu.co\/en\/programa\/ingenieria-industrial\/plan-de-estudios\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Plan de estudios - UCM - Universidad Cat\u00f3lica de Manizales\" \/>\n<meta property=\"og:description\" content=\"Nota:&nbsp;Los estudiantes de la Universidad Cat\u00f3lica de Manizales deben acreditar suficiencia en ingl\u00e9s como lengua extranjera como requisito de grado de acuerdo con los criterios en la&nbsp;Reglamentaci\u00f3n de Lengua Extranjera\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.ucm.edu.co\/en\/programa\/ingenieria-industrial\/plan-de-estudios\/\" \/>\n<meta property=\"og:site_name\" content=\"UCM - Universidad Cat\u00f3lica de Manizales\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/ucatolicamanizales\" \/>\n<meta property=\"article:modified_time\" content=\"2021-03-15T04:48:12+00:00\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@ucm_manizales\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.ucm.edu.co\\\/programa\\\/ingenieria-industrial\\\/plan-de-estudios\\\/\",\"url\":\"https:\\\/\\\/www.ucm.edu.co\\\/programa\\\/ingenieria-industrial\\\/plan-de-estudios\\\/\",\"name\":\"Plan de estudios - UCM - Universidad Cat\u00f3lica de Manizales\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.ucm.edu.co\\\/#website\"},\"datePublished\":\"2021-03-15T04:06:32+00:00\",\"dateModified\":\"2021-03-15T04:48:12+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.ucm.edu.co\\\/programa\\\/ingenieria-industrial\\\/plan-de-estudios\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.ucm.edu.co\\\/programa\\\/ingenieria-industrial\\\/plan-de-estudios\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.ucm.edu.co\\\/programa\\\/ingenieria-industrial\\\/plan-de-estudios\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Portada\",\"item\":\"https:\\\/\\\/www.ucm.edu.co\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Programas\",\"item\":\"https:\\\/\\\/www.ucm.edu.co\\\/programa\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Ingenier\u00eda Industrial\",\"item\":\"https:\\\/\\\/www.ucm.edu.co\\\/?post_type=programa&p=185305\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"Plan de estudios\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.ucm.edu.co\\\/#website\",\"url\":\"https:\\\/\\\/www.ucm.edu.co\\\/\",\"name\":\"UCM - Universidad Cat\u00f3lica de Manizales\",\"description\":\"Ven a ser quien quieres ser\",\"publisher\":{\"@id\":\"https:\\\/\\\/www.ucm.edu.co\\\/#organization\"},\"alternateName\":\"UCM\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.ucm.edu.co\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/www.ucm.edu.co\\\/#organization\",\"name\":\"Universidad Cat\u00f3lica de Manizales\",\"alternateName\":\"UCM\",\"url\":\"https:\\\/\\\/www.ucm.edu.co\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/www.ucm.edu.co\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/www.ucm.edu.co\\\/wp-content\\\/uploads\\\/2021\\\/03\\\/favicon_ucm.png\",\"contentUrl\":\"https:\\\/\\\/www.ucm.edu.co\\\/wp-content\\\/uploads\\\/2021\\\/03\\\/favicon_ucm.png\",\"width\":512,\"height\":512,\"caption\":\"Universidad Cat\u00f3lica de Manizales\"},\"image\":{\"@id\":\"https:\\\/\\\/www.ucm.edu.co\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/ucatolicamanizales\",\"https:\\\/\\\/x.com\\\/ucm_manizales\",\"https:\\\/\\\/www.instagram.com\\\/ucatolicamanizales\\\/\",\"https:\\\/\\\/co.linkedin.com\\\/school\\\/ucatolicamanizales\\\/\",\"https:\\\/\\\/www.youtube.com\\\/user\\\/UCMtelevision\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Plan de estudios - UCM - Universidad Cat\u00f3lica de Manizales","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.ucm.edu.co\/en\/programa\/ingenieria-industrial\/plan-de-estudios\/","og_locale":"en_US","og_type":"article","og_title":"Plan de estudios - UCM - Universidad Cat\u00f3lica de Manizales","og_description":"Nota:&nbsp;Los estudiantes de la Universidad Cat\u00f3lica de Manizales deben acreditar suficiencia en ingl\u00e9s como lengua extranjera como requisito de grado de acuerdo con los criterios en la&nbsp;Reglamentaci\u00f3n de Lengua Extranjera","og_url":"https:\/\/www.ucm.edu.co\/en\/programa\/ingenieria-industrial\/plan-de-estudios\/","og_site_name":"UCM - Universidad Cat\u00f3lica de Manizales","article_publisher":"https:\/\/www.facebook.com\/ucatolicamanizales","article_modified_time":"2021-03-15T04:48:12+00:00","twitter_card":"summary_large_image","twitter_site":"@ucm_manizales","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.ucm.edu.co\/programa\/ingenieria-industrial\/plan-de-estudios\/","url":"https:\/\/www.ucm.edu.co\/programa\/ingenieria-industrial\/plan-de-estudios\/","name":"Plan de estudios - UCM - Universidad Cat\u00f3lica de Manizales","isPartOf":{"@id":"https:\/\/www.ucm.edu.co\/#website"},"datePublished":"2021-03-15T04:06:32+00:00","dateModified":"2021-03-15T04:48:12+00:00","breadcrumb":{"@id":"https:\/\/www.ucm.edu.co\/programa\/ingenieria-industrial\/plan-de-estudios\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.ucm.edu.co\/programa\/ingenieria-industrial\/plan-de-estudios\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.ucm.edu.co\/programa\/ingenieria-industrial\/plan-de-estudios\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Portada","item":"https:\/\/www.ucm.edu.co\/"},{"@type":"ListItem","position":2,"name":"Programas","item":"https:\/\/www.ucm.edu.co\/programa\/"},{"@type":"ListItem","position":3,"name":"Ingenier\u00eda Industrial","item":"https:\/\/www.ucm.edu.co\/?post_type=programa&p=185305"},{"@type":"ListItem","position":4,"name":"Plan de estudios"}]},{"@type":"WebSite","@id":"https:\/\/www.ucm.edu.co\/#website","url":"https:\/\/www.ucm.edu.co\/","name":"UCM - Universidad Cat\u00f3lica de Manizales","description":"Ven a ser quien quieres ser","publisher":{"@id":"https:\/\/www.ucm.edu.co\/#organization"},"alternateName":"UCM","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.ucm.edu.co\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/www.ucm.edu.co\/#organization","name":"Universidad Cat\u00f3lica de Manizales","alternateName":"UCM","url":"https:\/\/www.ucm.edu.co\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.ucm.edu.co\/#\/schema\/logo\/image\/","url":"https:\/\/www.ucm.edu.co\/wp-content\/uploads\/2021\/03\/favicon_ucm.png","contentUrl":"https:\/\/www.ucm.edu.co\/wp-content\/uploads\/2021\/03\/favicon_ucm.png","width":512,"height":512,"caption":"Universidad Cat\u00f3lica de Manizales"},"image":{"@id":"https:\/\/www.ucm.edu.co\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/ucatolicamanizales","https:\/\/x.com\/ucm_manizales","https:\/\/www.instagram.com\/ucatolicamanizales\/","https:\/\/co.linkedin.com\/school\/ucatolicamanizales\/","https:\/\/www.youtube.com\/user\/UCMtelevision"]}]}},"_links":{"self":[{"href":"https:\/\/www.ucm.edu.co\/en\/wp-json\/wp\/v2\/programas\/185320","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.ucm.edu.co\/en\/wp-json\/wp\/v2\/programas"}],"about":[{"href":"https:\/\/www.ucm.edu.co\/en\/wp-json\/wp\/v2\/types\/programa"}],"up":[{"embeddable":true,"href":"https:\/\/www.ucm.edu.co\/en\/wp-json\/wp\/v2\/programas\/185305"}],"wp:attachment":[{"href":"https:\/\/www.ucm.edu.co\/en\/wp-json\/wp\/v2\/media?parent=185320"}],"wp:term":[{"taxonomy":"modalidad","embeddable":true,"href":"https:\/\/www.ucm.edu.co\/en\/wp-json\/wp\/v2\/modalidades?post=185320"},{"taxonomy":"centro_tutorial","embeddable":true,"href":"https:\/\/www.ucm.edu.co\/en\/wp-json\/wp\/v2\/centros_tutoriales?post=185320"},{"taxonomy":"nivel_formacion","embeddable":true,"href":"https:\/\/www.ucm.edu.co\/en\/wp-json\/wp\/v2\/niveles_formacion?post=185320"},{"taxonomy":"cat_programa","embeddable":true,"href":"https:\/\/www.ucm.edu.co\/en\/wp-json\/wp\/v2\/cats_programa?post=185320"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}