{"id":2153,"date":"2020-03-27T08:58:51","date_gmt":"2020-03-27T08:58:51","guid":{"rendered":"http:\/\/ssr.upm.es\/?page_id=2153"},"modified":"2026-03-02T12:49:45","modified_gmt":"2026-03-02T11:49:45","slug":"mutsc","status":"publish","type":"page","link":"https:\/\/ssr.upm.es\/en\/mutsc\/","title":{"rendered":"MU TSC"},"content":{"rendered":"<div class=\"vc_row wpb_row vc_row-fluid vc_custom_1622972398714\"><div class=\"wpb_column vc_column_container vc_col-sm-6\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"ubtn-ctn-center\"><a class=\"ubtn-link ult-adjust-bottom-margin ubtn-center ubtn-normal\" href=\"#itinerarioRF\" ><button type=\"button\" id=\"ubtn-2410\"  class=\"ubtn ult-adjust-bottom-margin ult-responsive ubtn-normal ubtn-top-bg  none  ubtn-center   tooltip-69f5e7f196857\"  data-hover=\"#000000\" data-border-color=\"#073796\" data-bg=\"#073796\" data-hover-bg=\"#dae0ef\" data-border-hover=\"#073796\" data-shadow-hover=\"\" data-shadow-click=\"none\" data-shadow=\"\" data-shd-shadow=\"\"  data-ultimate-target='#ubtn-2410'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:22px;\"}'  style=\"font-family:&#039;Open Sans&#039;;font-weight:700;border-radius:100px;border-width:3px;border-color:#073796;border-style:solid;background: #073796;color: #ffffff;\"><span class=\"ubtn-hover\" style=\"background-color:#dae0ef\"><\/span><span class=\"ubtn-data ubtn-text\" >IN EXTINCTION: \u201cRadioFrequency technologies and systems\u201d track<\/span><\/button><\/a><\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-6\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"ubtn-ctn-center\"><a class=\"ubtn-link ult-adjust-bottom-margin ubtn-center ubtn-normal\" href=\"\/en\/muirf\/\" ><button type=\"button\" id=\"ubtn-8010\"  class=\"ubtn ult-adjust-bottom-margin ult-responsive ubtn-normal ubtn-top-bg  none  ubtn-center   tooltip-69f5e7f1969e6\"  data-hover=\"#000000\" data-border-color=\"#073796\" data-bg=\"#073796\" data-hover-bg=\"#dae0ef\" data-border-hover=\"#073796\" data-shadow-hover=\"\" data-shadow-click=\"none\" data-shadow=\"\" data-shd-shadow=\"\"  data-ultimate-target='#ubtn-8010'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:22px;\"}'  style=\"font-family:&#039;Open Sans&#039;;font-weight:700;border-radius:100px;border-width:3px;border-color:#073796;border-style:solid;background: #073796;color: #ffffff;\"><span class=\"ubtn-hover\" style=\"background-color:#dae0ef\"><\/span><span class=\"ubtn-data ubtn-text\" >Academic year 2026-2027: Master's Degree in Radiofrequency Engineering<\/span><\/button><\/a><\/div><\/div><\/div><\/div><\/div><div class=\"vc_row wpb_row vc_row-fluid vc_custom_1622972410668\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"ubtn-ctn-center\"><a class=\"ubtn-link ult-adjust-bottom-margin ubtn-center ubtn-normal\" href=\"#itinerarioBD\" ><button type=\"button\" id=\"ubtn-4139\"  class=\"ubtn ult-adjust-bottom-margin ult-responsive ubtn-normal ubtn-top-bg  none  ubtn-center   tooltip-69f5e7f196b92\"  data-hover=\"#000000\" data-border-color=\"#073796\" data-bg=\"#073796\" data-hover-bg=\"#dae0ef\" data-border-hover=\"#073796\" data-shadow-hover=\"\" data-shadow-click=\"none\" data-shadow=\"\" data-shd-shadow=\"\"  data-ultimate-target='#ubtn-4139'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:22px;\"}'  style=\"font-family:&#039;Open Sans&#039;;font-weight:700;border-radius:100px;border-width:3px;border-color:#073796;border-style:solid;background: #073796;color: #ffffff;\"><span class=\"ubtn-hover\" style=\"background-color:#dae0ef\"><\/span><span class=\"ubtn-data ubtn-text\" >\u201cSignal processing and machine learning for big data\u201d track<\/span><\/button><\/a><\/div><\/div><\/div><\/div><\/div><div class=\"vc_row wpb_row vc_row-fluid vc_custom_1622972418818\"><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"ubtn-ctn-center\"><a class=\"ubtn-link ult-adjust-bottom-margin ubtn-center ubtn-normal\" href=\"#informacion_practica\" ><button type=\"button\" id=\"ubtn-2029\"  class=\"ubtn ult-adjust-bottom-margin ult-responsive ubtn-normal ubtn-top-bg  none  ubtn-center   tooltip-69f5e7f196cfb\"  data-hover=\"#000000\" data-border-color=\"#073796\" data-bg=\"#073796\" data-hover-bg=\"#dae0ef\" data-border-hover=\"#073796\" data-shadow-hover=\"\" data-shadow-click=\"none\" data-shadow=\"\" data-shd-shadow=\"\"  data-ultimate-target='#ubtn-2029'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:22px;\"}'  style=\"font-family:&#039;Open Sans&#039;;font-weight:700;border-radius:100px;border-width:3px;border-color:#073796;border-style:solid;background: #073796;color: #ffffff;\"><span class=\"ubtn-hover\" style=\"background-color:#dae0ef\"><\/span><span class=\"ubtn-data ubtn-text\" >Practical information<\/span><\/button><\/a><\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"ubtn-ctn-center\"><a class=\"ubtn-link ult-adjust-bottom-margin ubtn-center ubtn-normal\" href=\"#socios_colaboradores\" ><button type=\"button\" id=\"ubtn-4226\"  class=\"ubtn ult-adjust-bottom-margin ult-responsive ubtn-normal ubtn-top-bg  none  ubtn-center   tooltip-69f5e7f196db1\"  data-hover=\"#000000\" data-border-color=\"#073796\" data-bg=\"#073796\" data-hover-bg=\"#dae0ef\" data-border-hover=\"#073796\" data-shadow-hover=\"\" data-shadow-click=\"none\" data-shadow=\"\" data-shd-shadow=\"\"  data-ultimate-target='#ubtn-4226'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:22px;\"}'  style=\"font-family:&#039;Open Sans&#039;;font-weight:700;border-radius:100px;border-width:3px;border-color:#073796;border-style:solid;background: #073796;color: #ffffff;\"><span class=\"ubtn-hover\" style=\"background-color:#dae0ef\"><\/span><span class=\"ubtn-data ubtn-text\" >Cooperating partners<\/span><\/button><\/a><\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"ubtn-ctn-center\"><a class=\"ubtn-link ult-adjust-bottom-margin ubtn-center ubtn-normal\" href=\"#recomendaciones\" ><button type=\"button\" id=\"ubtn-7446\"  class=\"ubtn ult-adjust-bottom-margin ult-responsive ubtn-normal ubtn-top-bg  none  ubtn-center   tooltip-69f5e7f196e68\"  data-hover=\"#000000\" data-border-color=\"#073796\" data-bg=\"#073796\" data-hover-bg=\"#dae0ef\" data-border-hover=\"#073796\" data-shadow-hover=\"\" data-shadow-click=\"none\" data-shadow=\"\" data-shd-shadow=\"\"  data-ultimate-target='#ubtn-7446'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:22px;\"}'  style=\"font-family:&#039;Open Sans&#039;;font-weight:700;border-radius:100px;border-width:3px;border-color:#073796;border-style:solid;background: #073796;color: #ffffff;\"><span class=\"ubtn-hover\" style=\"background-color:#dae0ef\"><\/span><span class=\"ubtn-data ubtn-text\" >Testimonials<\/span><\/button><\/a><\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"ubtn-ctn-center\"><a class=\"ubtn-link ult-adjust-bottom-margin ubtn-center ubtn-normal\" href=\"#contacto\" ><button type=\"button\" id=\"ubtn-1072\"  class=\"ubtn ult-adjust-bottom-margin ult-responsive ubtn-normal ubtn-top-bg  none  ubtn-center   tooltip-69f5e7f196f0f\"  data-hover=\"#000000\" data-border-color=\"#073796\" data-bg=\"#073796\" data-hover-bg=\"#dae0ef\" data-border-hover=\"#073796\" data-shadow-hover=\"\" data-shadow-click=\"none\" data-shadow=\"\" data-shd-shadow=\"\"  data-ultimate-target='#ubtn-1072'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:22px;\"}'  style=\"font-family:&#039;Open Sans&#039;;font-weight:700;border-radius:100px;border-width:3px;border-color:#073796;border-style:solid;background: #073796;color: #ffffff;\"><span class=\"ubtn-hover\" style=\"background-color:#dae0ef\"><\/span><span class=\"ubtn-data ubtn-text\" >Contact<\/span><\/button><\/a><\/div><\/div><\/div><\/div><\/div><div class=\"vc_row wpb_row vc_row-fluid vc_custom_1587635589512 vc_row-o-equal-height vc_row-o-content-middle vc_row-flex\"><div class=\"wpb_column vc_column_container vc_col-sm-8\"><div class=\"vc_column-inner vc_custom_1560787615631\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_raw_code wpb_content_element wpb_raw_html\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<video src=\"\/wp-content\/uploads\/2021\/01\/master.mp4\" controls>\n\n\t\t<\/div>\n\t<\/div>\n<div class=\"vc_empty_space\"   style=\"height: 32px\"><span class=\"vc_empty_space_inner\"><\/span><\/div>\n\t<div class=\"wpb_text_column wpb_content_element\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>The Master's Degree in Signal Theory and Communications (MSTC) is offered by the Signals, Systems and Radiocommunications (SSR) department of the Higher Technical School of Telecommunication Engineers (ETSIT) of the Technical University of Madrid (UPM), and provides a complementary perspective to that offered by other professional masters of the ETSIT-UPM. Its objective is to provide its graduates with skills demanded by industry, research centres and the University to work in some of the most relevant topics of current interest worldwide. The degree is offered entirely in English: the classes, the study material and the interaction with the professors.<\/p>\n<p>MSTC has two tracks:<\/p>\n<p>Radiofrequency technologies and systems: corresponds to a classic telecommunication engineering area led by SSR.<br \/>\nSignal processing and machine learning for big data: addresses new\nchallenges in applying signal processing and machine learning techniques\nto massive datasets, covering topics that are currently in high demand\nin different industry sectors.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-4\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"smile_icon_list_wrap ult_info_list_container ult-adjust-bottom-margin\"><ul class=\"smile_icon_list left square with_bg\"><li class=\"icon_list_item\" style=\" font-size:72px;\"><div class=\"icon_list_icon\" data-animation=\"\" data-animation-delay=\"03\" style=\"font-size:24px;border-width:1px;border-style:none;background:#ffffff;color:#333333;border-color:#333333;\"><i class=\"far fa-calendar\" ><\/i><\/div><div class=\"icon_description\" id=\"Info-list-wrap-9830\" style=\"font-size:24px;\"><h3 class=\"ult-responsive info-list-heading\"  data-ultimate-target='#Info-list-wrap-9830 h3'  data-responsive-json-new='{\"font-size\":\"desktop:16px;\",\"line-height\":\"desktop:24px;\"}'  style=\"color:#073796;\">Accreditations<\/h3><div class=\"icon_description_text ult-responsive\"  data-ultimate-target='#Info-list-wrap-9830 .icon_description_text'  data-responsive-json-new='{\"font-size\":\"desktop:13px;\",\"line-height\":\"desktop:18px;\"}'  style=\"\"><p>2016 and 2021<\/p>\n<\/div><\/div><div class=\"icon_list_connector\"  style=\"border: none !important;\"><\/div><\/li><li class=\"icon_list_item\" style=\" font-size:72px;\"><div class=\"icon_list_icon\" data-animation=\"\" data-animation-delay=\"03\" style=\"font-size:24px;border-width:1px;border-style:none;background:#ffffff;color:#333333;border-color:#333333;\"><i class=\"fas fa-globe\" ><\/i><\/div><div class=\"icon_description\" id=\"Info-list-wrap-5469\" style=\"font-size:24px;\"><h3 class=\"ult-responsive info-list-heading\"  data-ultimate-target='#Info-list-wrap-5469 h3'  data-responsive-json-new='{\"font-size\":\"desktop:16px;\",\"line-height\":\"desktop:24px;\"}'  style=\"color:#073796;\">Language<\/h3><div class=\"icon_description_text ult-responsive\"  data-ultimate-target='#Info-list-wrap-5469 .icon_description_text'  data-responsive-json-new='{\"font-size\":\"desktop:13px;\",\"line-height\":\"desktop:18px;\"}'  style=\"\"><p>English<\/p>\n<\/div><\/div><div class=\"icon_list_connector\"  style=\"border: none !important;\"><\/div><\/li><li class=\"icon_list_item\" style=\" font-size:72px;\"><div class=\"icon_list_icon\" data-animation=\"\" data-animation-delay=\"03\" style=\"font-size:24px;border-width:1px;border-style:none;background:#ffffff;color:#333333;border-color:#333333;\"><i class=\"Defaults-group\" ><\/i><\/div><div class=\"icon_description\" id=\"Info-list-wrap-8471\" style=\"font-size:24px;\"><h3 class=\"ult-responsive info-list-heading\"  data-ultimate-target='#Info-list-wrap-8471 h3'  data-responsive-json-new='{\"font-size\":\"desktop:16px;\",\"line-height\":\"desktop:24px;\"}'  style=\"color:#073796;\">Places offered<\/h3><div class=\"icon_description_text ult-responsive\"  data-ultimate-target='#Info-list-wrap-8471 .icon_description_text'  data-responsive-json-new='{\"font-size\":\"desktop:13px;\",\"line-height\":\"desktop:18px;\"}'  style=\"\"><p>40<\/p>\n<\/div><\/div><div class=\"icon_list_connector\"  style=\"border: none !important;\"><\/div><\/li><li class=\"icon_list_item\" style=\" font-size:72px;\"><div class=\"icon_list_icon\" data-animation=\"\" data-animation-delay=\"03\" style=\"font-size:24px;border-width:1px;border-style:none;background:#ffffff;color:#333333;border-color:#333333;\"><i class=\"icomoon-the7-font-the7-more-00\" ><\/i><\/div><div class=\"icon_description\" id=\"Info-list-wrap-6036\" style=\"font-size:24px;\"><h3 class=\"ult-responsive info-list-heading\"  data-ultimate-target='#Info-list-wrap-6036 h3'  data-responsive-json-new='{\"font-size\":\"desktop:16px;\",\"line-height\":\"desktop:24px;\"}'  style=\"color:#073796;\">Total credits<\/h3><div class=\"icon_description_text ult-responsive\"  data-ultimate-target='#Info-list-wrap-6036 .icon_description_text'  data-responsive-json-new='{\"font-size\":\"desktop:13px;\",\"line-height\":\"desktop:18px;\"}'  style=\"\"><p>60 ECTS<\/p>\n<\/div><\/div><div class=\"icon_list_connector\"  style=\"border: none !important;\"><\/div><\/li><li class=\"icon_list_item\" style=\" font-size:72px;\"><div class=\"icon_list_icon\" data-animation=\"\" data-animation-delay=\"03\" style=\"font-size:24px;border-width:1px;border-style:none;background:#ffffff;color:#333333;border-color:#333333;\"><i class=\"fas fa-user-minus\" ><\/i><\/div><div class=\"icon_description\" id=\"Info-list-wrap-3654\" style=\"font-size:24px;\"><h3 class=\"ult-responsive info-list-heading\"  data-ultimate-target='#Info-list-wrap-3654 h3'  data-responsive-json-new='{\"font-size\":\"desktop:16px;\",\"line-height\":\"desktop:24px;\"}'  style=\"color:#073796;\">Min.-max. credits per year<\/h3><div class=\"icon_description_text ult-responsive\"  data-ultimate-target='#Info-list-wrap-3654 .icon_description_text'  data-responsive-json-new='{\"font-size\":\"desktop:13px;\",\"line-height\":\"desktop:18px;\"}'  style=\"\"><p>24-37 ECTS part time<br \/>\n38-60 ECTS full time<\/p>\n<\/div><\/div><div class=\"icon_list_connector\"  style=\"border: none !important;\"><\/div><\/li><li class=\"icon_list_item\" style=\" font-size:72px;\"><div class=\"icon_list_icon\" data-animation=\"\" data-animation-delay=\"03\" style=\"font-size:24px;border-width:1px;border-style:none;background:#ffffff;color:#333333;border-color:#333333;\"><i class=\"Defaults-question-circle\" ><\/i><\/div><div class=\"icon_description\" id=\"Info-list-wrap-8144\" style=\"font-size:24px;\"><h3 class=\"ult-responsive info-list-heading\"  data-ultimate-target='#Info-list-wrap-8144 h3'  data-responsive-json-new='{\"font-size\":\"desktop:16px;\",\"line-height\":\"desktop:24px;\"}'  style=\"color:#073796;\">Modality<\/h3><div class=\"icon_description_text ult-responsive\"  data-ultimate-target='#Info-list-wrap-8144 .icon_description_text'  data-responsive-json-new='{\"font-size\":\"desktop:13px;\",\"line-height\":\"desktop:18px;\"}'  style=\"\"><p>Face-to-face<\/p>\n<\/div><\/div><div class=\"icon_list_connector\"  style=\"border: none !important;\"><\/div><\/li><\/ul><\/div><\/div><\/div><\/div><\/div><div id=\"itinerarioRF\" class=\"vc_row wpb_row vc_row-fluid\"><div class=\"wpb_column vc_column_container vc_col-sm-12 vc_col-lg-offset-2 vc_col-lg-8\"><div class=\"vc_column-inner vc_custom_1560418610056\"><div class=\"wpb_wrapper\"><h2 style=\"color: #ffffff;text-align: center\" class=\"vc_custom_heading wpb_animate_when_almost_visible wpb_bottom-to-top bottom-to-top\" >\u201cRadiofrequency technologies and systems\u201d track<\/h2>\n\t<div class=\"wpb_text_column wpb_content_element  wpb_animate_when_almost_visible wpb_bottom-to-top bottom-to-top text_for_class_white\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>The \u201cRadioFrequency (RF) technologies and systems\u201d track is structured in nine specific subjects, other than the two common ones shared with the other track. Of these nine specific subjects, a block is devoted to fundamentals and technologies, and another to RF communication. The first block covers RF and antenna technologies, understanding and use of modern electromagnetic solvers, software radio, and advanced measurement techniques. The second block covers mobile communication systems, MIMO systems, and secure RF communications. The integration of technologies and applications offers students a new and fresh outlook of modern RF systems.<\/p>\n<h3><strong>Warning<\/strong>: <strong>this track is in extinction.<\/strong><\/h3>\n<p><em>In the 2026\/2027 academic year, the new Master's Degree in Radiofrequency Engineering is implemented. You can find all the information<\/em> <a href=\"https:\/\/ssr.upm.es\/en\/muirf\/\">here<\/a><\/p>\n\n\t\t<\/div>\n\t<\/div>\n<\/div><\/div><\/div><\/div><!-- Row Backgrounds --><div class=\"upb_bg_img\" data-ultimate-bg=\"url(https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/32-min-scaled.jpg)\" data-image-id=\"id^3293|url^http:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/32-min-scaled.jpg|caption^null|alt^null|title^32-min|description^null\" data-ultimate-bg-style=\"vcpb-vz-jquery\" data-bg-img-repeat=\"repeat\" data-bg-img-size=\"cover\" data-bg-img-position=\"\" data-parallx_sense=\"30\" data-bg-override=\"ex-full\" data-bg_img_attach=\"scroll\" data-upb-overlay-color=\"rgba(38,45,55,0.5)\" data-upb-bg-animation=\"\" data-fadeout=\"fadeout_row_value\" data-bg-animation=\"left-animation\" data-bg-animation-type=\"h\" data-animation-repeat=\"repeat\" data-fadeout-percentage=\"30\" data-parallax-content=\"\" data-parallax-content-sense=\"30\" data-row-effect-mobile-disable=\"true\" data-img-parallax-mobile-disable=\"true\" data-rtl=\"false\"  data-custom-vc-row=\"\"  data-vc=\"6.1\"  data-is_old_vc=\"\"  data-theme-support=\"\"   data-overlay=\"true\" data-overlay-color=\"rgba(38,45,55,0.5)\" data-overlay-pattern=\"\" data-overlay-pattern-opacity=\"0.8\" data-overlay-pattern-size=\"\" data-overlay-pattern-attachment=\"scroll\"    data-seperator=\"true\"  data-seperator-type=\"tilt_left_seperator\"  data-seperator-shape-size=\"40\"  data-seperator-svg-height=\"100\"  data-seperator-full-width=\"true\" data-seperator-position=\"top_bottom_seperator\"  data-seperator-background-color=\"#fff\"  data-icon=\"\"  ><\/div><div class=\"vc_row wpb_row vc_row-fluid vc_custom_1560787254950\"><div class=\"cls_big_data wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Optimization fundamentals<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>3 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"2560\" height=\"2383\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-scaled.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-scaled.jpg 2560w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-300x279.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-1024x953.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-768x715.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-1536x1430.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-2048x1907.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-13x12.jpg 13w\" sizes=\"(max-width: 2560px) 100vw, 2560px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/22-min\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-8931\"   data-ultimate-target='#uvc-exp-wrap-8931'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This course covers the fundamentals of the optimization of functions of continuous variables, considering both analytical and algoritmic aspects. Emphasis is made on techniques based on Lagrange and Karush-Kuhn-Tucker multipliers for constrained optimization. All the topics are motivated with concrete problems derived from practical applications.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-46c2e90102bbfbc0ce928d6854b880cc.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-46c2e90102bbfbc0ce928d6854b880cc > i {\n  margin-right: 8px;\n}\n#default-btn-46c2e90102bbfbc0ce928d6854b880cc * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000920_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" target=\"_blank\" id=\"default-btn-46c2e90102bbfbc0ce928d6854b880cc\" rel=\"noopener\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Radiofrequency optimization techniques<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>3 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"1536\" height=\"1152\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Tecnicas_optimizacion_RF.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Tecnicas_optimizacion_RF.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Tecnicas_optimizacion_RF-300x225.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Tecnicas_optimizacion_RF-1024x768.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Tecnicas_optimizacion_RF-768x576.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Tecnicas_optimizacion_RF-16x12.jpg 16w\" sizes=\"(max-width: 1536px) 100vw, 1536px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/tecnicas_optimizacion_rf\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-1522\"   data-ultimate-target='#uvc-exp-wrap-1522'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>The design of radiofrequency circuits and subsystems by means of electromagnetic and circuit simulators requires solving global optimization problems, often of noisy and costly functions. We will review the better-known heuristic methods, such as simulated annealing, genetic algorithms and evolution strategies. The use of surrogate models will be also dealt with by reviewing the space mapping technique. All these topics will be illustrated by practical projects, where students will optimize different radiofrequency subsystems or components.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-4d18a7f9eaa705a432e8f61e32ec3392.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-4d18a7f9eaa705a432e8f61e32ec3392 > i {\n  margin-right: 8px;\n}\n#default-btn-4d18a7f9eaa705a432e8f61e32ec3392 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000921_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-4d18a7f9eaa705a432e8f61e32ec3392\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Radiofrequency technologies<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>6 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"800\" height=\"568\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/INDRA_UPM-WHPA.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/INDRA_UPM-WHPA.jpg 800w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/INDRA_UPM-WHPA-300x213.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/INDRA_UPM-WHPA-768x545.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/INDRA_UPM-WHPA-16x12.jpg 16w\" sizes=\"(max-width: 800px) 100vw, 800px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/indra_upm-whpa\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-6563\"   data-ultimate-target='#uvc-exp-wrap-6563'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This course is a comprehensive approach to Radio Frequency systems and the technologies involved. It is not a design course for active and passive components or circuits. It is a top-down approach that begins with the specifications of a system and finishes with the selection of the appropriate technology, components, and circuits to meet these specifications. An in-depth understanding of the variety of components in the market, their specifications and limitations is basic for a successful design of complex RF systems.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-5f3160a752e7f6bdcab92541ceda3486.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-5f3160a752e7f6bdcab92541ceda3486 > i {\n  margin-right: 8px;\n}\n#default-btn-5f3160a752e7f6bdcab92541ceda3486 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000922_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-5f3160a752e7f6bdcab92541ceda3486\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" ><a href=\"\">Advanced topics on antenna technologies<\/a><\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>6 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"796\" height=\"665\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TemasAvanzados_Tecnologia_Antenas.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TemasAvanzados_Tecnologia_Antenas.jpg 796w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TemasAvanzados_Tecnologia_Antenas-300x251.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TemasAvanzados_Tecnologia_Antenas-768x642.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TemasAvanzados_Tecnologia_Antenas-14x12.jpg 14w\" sizes=\"(max-width: 796px) 100vw, 796px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/temasavanzados_tecnologia_antenas\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-2562\"   data-ultimate-target='#uvc-exp-wrap-2562'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>In this course a solid formation on advanced concepts in antennas technology is given. It covers both theoretical and practical aspects. Commercial or own software will be used for the design and simulation of antennas. The course is based on PBL concept.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-b6f583df0f685fd7d0acd475f2e962ee.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-b6f583df0f685fd7d0acd475f2e962ee > i {\n  margin-right: 8px;\n}\n#default-btn-b6f583df0f685fd7d0acd475f2e962ee * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000923_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-b6f583df0f685fd7d0acd475f2e962ee\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><\/div><div class=\"vc_row wpb_row vc_row-fluid vc_custom_1560787254950\"><div class=\"cls_big_data wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Mobile communications: 4G and beyond<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>3 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"1000\" height=\"697\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Com_Moviles_4G.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Com_Moviles_4G.jpg 1000w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Com_Moviles_4G-300x209.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Com_Moviles_4G-768x535.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Com_Moviles_4G-16x12.jpg 16w\" sizes=\"(max-width: 1000px) 100vw, 1000px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/com_moviles_4g\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-5427\"   data-ultimate-target='#uvc-exp-wrap-5427'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>In this course are presented the fundamentals of modern mobile communications and the planning of 4G systems. The course is focused in RF interface. Several techniques of RF resources management are given. Finally an overview of the future 5G systems is presented.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-7072ef161e671163ac0b9b6139360ceb.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-7072ef161e671163ac0b9b6139360ceb > i {\n  margin-right: 8px;\n}\n#default-btn-7072ef161e671163ac0b9b6139360ceb * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000924_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-7072ef161e671163ac0b9b6139360ceb\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Design of communication systems and equipment<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>6 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"914\" height=\"686\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Diseno-de-sistemas-y-equipos-de-comunicaciones-1.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Diseno-de-sistemas-y-equipos-de-comunicaciones-1.jpg 914w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Diseno-de-sistemas-y-equipos-de-comunicaciones-1-300x225.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Diseno-de-sistemas-y-equipos-de-comunicaciones-1-768x576.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Diseno-de-sistemas-y-equipos-de-comunicaciones-1-16x12.jpg 16w\" sizes=\"(max-width: 914px) 100vw, 914px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/diseno-de-sistemas-y-equipos-de-comunicaciones-2\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-4307\"   data-ultimate-target='#uvc-exp-wrap-4307'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>In this course it is described in deep the elements needed, hardware and software, for the implementation of digital communication systems. Digital communications fundamentals are given as well the advanced concepts on digital signal processing to correct practical problems in the transmission channel.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-01d0161869bc95d3dcefc2d73d5cf4c2.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-01d0161869bc95d3dcefc2d73d5cf4c2 > i {\n  margin-right: 8px;\n}\n#default-btn-01d0161869bc95d3dcefc2d73d5cf4c2 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000925_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-01d0161869bc95d3dcefc2d73d5cf4c2\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >From array processing to MIMO communications<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>6 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"800\" height=\"595\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Procesado_Array_MIMO.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Procesado_Array_MIMO.jpg 800w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Procesado_Array_MIMO-300x223.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Procesado_Array_MIMO-768x571.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Procesado_Array_MIMO-16x12.jpg 16w\" sizes=\"(max-width: 800px) 100vw, 800px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/procesado_array_mimo\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-1586\"   data-ultimate-target='#uvc-exp-wrap-1586'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>We present a unified view of array processing, modern beam forming and MIMO systems including Array processing. Adaptive antennas. Implementation issues related to MIMO communications, Single user MIMO communications, Multiple user MIMO communications, Multiple user \/ Multiple cells MIMO communications, Massive MIMO, Virtual MIMO and wireless sensor networks.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-e980b20698aee68a7f1c61c86905b5b9.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-e980b20698aee68a7f1c61c86905b5b9 > i {\n  margin-right: 8px;\n}\n#default-btn-e980b20698aee68a7f1c61c86905b5b9 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/2S\/GA_09AT_93000926_2S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-e980b20698aee68a7f1c61c86905b5b9\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Secure radiofrequency communications<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>3 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"800\" height=\"654\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Comunicaciones-de-RF-seguras-1.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Comunicaciones-de-RF-seguras-1.jpg 800w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Comunicaciones-de-RF-seguras-1-300x245.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Comunicaciones-de-RF-seguras-1-768x628.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Comunicaciones-de-RF-seguras-1-16x12.jpg 16w\" sizes=\"(max-width: 800px) 100vw, 800px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/comunicaciones-de-rf-seguras-2\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-5303\"   data-ultimate-target='#uvc-exp-wrap-5303'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This course focuses on communication systems that can be attacked in a hostile environment. Electronic measures and countermeasures for communications. The first issues are robust transmission methods, and then extend to intelligent attack resistant techniques.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-40f644bf8afbebc62d15afe9c75f81b8.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-40f644bf8afbebc62d15afe9c75f81b8 > i {\n  margin-right: 8px;\n}\n#default-btn-40f644bf8afbebc62d15afe9c75f81b8 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/2S\/GA_09AT_93000927_2S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-40f644bf8afbebc62d15afe9c75f81b8\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><\/div><div class=\"vc_row wpb_row vc_row-fluid vc_custom_1560787254950\"><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Laboratory course on radiofrequency measurements<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>6 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"1000\" height=\"750\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Lab_medidas_RF.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Lab_medidas_RF.jpg 1000w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Lab_medidas_RF-300x225.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Lab_medidas_RF-768x576.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Lab_medidas_RF-16x12.jpg 16w\" sizes=\"(max-width: 1000px) 100vw, 1000px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/lab_medidas_rf\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-9007\"   data-ultimate-target='#uvc-exp-wrap-9007'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>A number of practical sessions will be carried out on antenna measurement, materials characterization, calibration of vector network analyzers, active components measurement, Electromagnetic compatibility etc.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-2047b52216fa56aaef9ad9f7bc53b04a.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-2047b52216fa56aaef9ad9f7bc53b04a > i {\n  margin-right: 8px;\n}\n#default-btn-2047b52216fa56aaef9ad9f7bc53b04a * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/2S\/GA_09AT_93000928_2S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-2047b52216fa56aaef9ad9f7bc53b04a\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"cls_big_data wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Computational electromagnetics<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>6 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"1219\" height=\"895\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Electromagnetismo-computacional.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Electromagnetismo-computacional.jpg 1219w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Electromagnetismo-computacional-300x220.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Electromagnetismo-computacional-1024x752.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Electromagnetismo-computacional-768x564.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Electromagnetismo-computacional-16x12.jpg 16w\" sizes=\"(max-width: 1219px) 100vw, 1219px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/electromagnetismo-computacional\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-5424\"   data-ultimate-target='#uvc-exp-wrap-5424'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>It will present the fundamentals of the design and analysis of circuits and passive circuits at RF and microwaves frequency using the most used numerical method, MoM, FDTD, FEM, GTD, Mode Matching etc. Advanced design will be carried out by using commercial software available.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-60b84ed4a4437ec6748a244346035b78.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-60b84ed4a4437ec6748a244346035b78 > i {\n  margin-right: 8px;\n}\n#default-btn-60b84ed4a4437ec6748a244346035b78 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/2S\/GA_09AT_93000929_2S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-60b84ed4a4437ec6748a244346035b78\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Master's Thesis (MT)<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>12 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"1024\" height=\"683\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-1024x683.jpg\" class=\"vc_single_image-img attachment-large\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-1024x683.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-300x200.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-768x512.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-1536x1024.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-2048x1365.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-16x12.jpg 16w\" sizes=\"(max-width: 1024px) 100vw, 1024px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/tfm-min\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-6664\"   data-ultimate-target='#uvc-exp-wrap-6664'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>The Final Master Thesis offers a great opportunity to closely collaborate with your favorite professor on advanced topics to be agreed with him\/her. Located in the second semester with 12 ECTS, at that time you will have the global perspective about which are the more challenging topics or more demanded by local or international companies you desire to deepen. After an initial discussion with your academic advisor about your preferences, he\/she will put in contact with the most suitable researcher among our professors who will lead your final stage before obtaining the final degree. You will have the chance to access to the professional laboratories in our department and get involved in our research or our technological transfer projects. Finally you will have to elaborate an extended report describing your achievements and make an oral presentation defending your results in front of other professors experts in the field. In the end, you will have gained full professional maturity to continue your career in academia or high technological companies with unique capabilities.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><\/div><\/div><\/div><\/div><div id=\"itinerarioBD\" class=\"vc_row wpb_row vc_row-fluid\"><div class=\"wpb_column vc_column_container vc_col-sm-12 vc_col-lg-offset-2 vc_col-lg-8\"><div class=\"vc_column-inner vc_custom_1560418610056\"><div class=\"wpb_wrapper\"><h2 style=\"color: #ffffff;text-align: center\" class=\"vc_custom_heading wpb_animate_when_almost_visible wpb_bottom-to-top bottom-to-top\" >\u201cSignal processing and machine learning for big data\u201d track<\/h2>\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class_white\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>The \u201csignal processing and machine learning for Big Data (BD)\u201d track is structured in twelve specific subjects, other than the two common ones shared with the other track.\nFundamental subjects on optimization methods for BD, statistical modelling, and time series analysis, provide the background for other subjects devoted to machine learning subjects (predictive and descriptive learning, reinforcement learning and bio-inspired models), and signal processing techniques for BD. The track programme has been designed to provide the scientific foundations and practical orientation towards data analytics and artificial intelligenge in different industrial sectors, including telecommunications and media.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<\/div><\/div><\/div><\/div><!-- Row Backgrounds --><div class=\"upb_bg_img\" data-ultimate-bg=\"url(https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/19-min-scaled.jpg)\" data-image-id=\"id^3279|url^http:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/19-min-scaled.jpg|caption^null|alt^null|title^19-min|description^null\" data-ultimate-bg-style=\"vcpb-vz-jquery\" data-bg-img-repeat=\"repeat\" data-bg-img-size=\"cover\" data-bg-img-position=\"\" data-parallx_sense=\"30\" data-bg-override=\"ex-full\" data-bg_img_attach=\"scroll\" data-upb-overlay-color=\"rgba(38,45,55,0.5)\" data-upb-bg-animation=\"\" data-fadeout=\"fadeout_row_value\" data-bg-animation=\"left-animation\" data-bg-animation-type=\"h\" data-animation-repeat=\"repeat\" data-fadeout-percentage=\"30\" data-parallax-content=\"\" data-parallax-content-sense=\"30\" data-row-effect-mobile-disable=\"true\" data-img-parallax-mobile-disable=\"true\" data-rtl=\"false\"  data-custom-vc-row=\"\"  data-vc=\"6.1\"  data-is_old_vc=\"\"  data-theme-support=\"\"   data-overlay=\"true\" data-overlay-color=\"rgba(38,45,55,0.5)\" data-overlay-pattern=\"\" data-overlay-pattern-opacity=\"0.8\" data-overlay-pattern-size=\"\" data-overlay-pattern-attachment=\"scroll\"    data-seperator=\"true\"  data-seperator-type=\"tilt_left_seperator\"  data-seperator-shape-size=\"40\"  data-seperator-svg-height=\"100\"  data-seperator-full-width=\"true\" data-seperator-position=\"top_bottom_seperator\"  data-seperator-background-color=\"#fff\"  data-icon=\"\"  ><\/div><div class=\"vc_row wpb_row vc_row-fluid vc_custom_1560787254950\"><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Optimization fundamentals<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>3 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"2560\" height=\"2383\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-scaled.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-scaled.jpg 2560w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-300x279.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-1024x953.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-768x715.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-1536x1430.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-2048x1907.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/22-min-13x12.jpg 13w\" sizes=\"(max-width: 2560px) 100vw, 2560px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/22-min\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-4987\"   data-ultimate-target='#uvc-exp-wrap-4987'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This course covers the fundamentals of the optimization of functions of continuous variables, considering both analytical and algoritmic aspects. Emphasis is made on techniques based on Lagrange and Karush-Kuhn-Tucker multipliers for constrained optimization. All the topics are motivated with concrete problems derived from practical applications.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-f340668195f43efe85546547cee7fcc3.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-f340668195f43efe85546547cee7fcc3 > i {\n  margin-right: 8px;\n}\n#default-btn-f340668195f43efe85546547cee7fcc3 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000920_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-f340668195f43efe85546547cee7fcc3\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Optimization techniques for big data analysis<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>3 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"2560\" height=\"1707\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/23-compressed-scaled.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/23-compressed-scaled.jpg 2560w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/23-compressed-300x200.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/23-compressed-1024x683.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/23-compressed-768x512.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/23-compressed-1536x1024.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/23-compressed-2048x1365.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/23-compressed-16x12.jpg 16w\" sizes=\"(max-width: 2560px) 100vw, 2560px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/23-compressed\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-4357\"   data-ultimate-target='#uvc-exp-wrap-4357'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This course uses most of the topics already covered in Optimization Fundamentals, but now focuses on the specific problems that arise with big data. Although we will provide the theoretical fundaments of the techniques developed, we will emphasize several key case studies in big data applications. We will distinguish three main blocks: 1) Parallelization of simple problems such as linear equations, matrix inversion and nonlinear problems. 2) Distributed optimization and statistical learning, covering network optimization techniques such as consensus, diffusion and gossip. 3) Parallelization of massive data optimization using coordinate descent-based methods.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-0158175d3f087a0785d46b702c54c7eb.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-0158175d3f087a0785d46b702c54c7eb > i {\n  margin-right: 8px;\n}\n#default-btn-0158175d3f087a0785d46b702c54c7eb * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000938_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-0158175d3f087a0785d46b702c54c7eb\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"cls_big_data wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Statistical modelling<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>3 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"2560\" height=\"1707\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/20-min-scaled.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/20-min-scaled.jpg 2560w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/20-min-300x200.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/20-min-1024x683.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/20-min-768x512.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/20-min-1536x1024.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/20-min-2048x1365.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/20-min-16x12.jpg 16w\" sizes=\"(max-width: 2560px) 100vw, 2560px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/20-min\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-9748\"   data-ultimate-target='#uvc-exp-wrap-9748'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This course provides the foundations of statistical analysis of data as fundamental background for the study of machine learning techniques. The course reviews the probability theory as well as basic concepts and tools for descriptive statistic and statistical inference.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-c86b358b2d046c3c3af4cc0f8f1bf3f6.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-c86b358b2d046c3c3af4cc0f8f1bf3f6 > i {\n  margin-right: 8px;\n}\n#default-btn-c86b358b2d046c3c3af4cc0f8f1bf3f6 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000939_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-c86b358b2d046c3c3af4cc0f8f1bf3f6\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Time series analysis<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>4.5 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"2560\" height=\"1708\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/21-min-scaled.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/21-min-scaled.jpg 2560w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/21-min-300x200.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/21-min-1024x683.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/21-min-768x513.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/21-min-1536x1025.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/21-min-2048x1367.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/21-min-16x12.jpg 16w\" sizes=\"(max-width: 2560px) 100vw, 2560px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/21-min\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-6035\"   data-ultimate-target='#uvc-exp-wrap-6035'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This course is an introduction to the theory and practice of time series analysis, providing statistical tools to analyze random data that are ordered in time.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-80a4d75361d3edb02d0fade142ce213d.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-80a4d75361d3edb02d0fade142ce213d > i {\n  margin-right: 8px;\n}\n#default-btn-80a4d75361d3edb02d0fade142ce213d * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000940_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-80a4d75361d3edb02d0fade142ce213d\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><\/div><div class=\"vc_row wpb_row vc_row-fluid vc_custom_1560787254950\"><div class=\"cls_big_data wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Predictive and descriptive learning<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>6 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"2560\" height=\"1706\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/24-compressed-scaled.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/24-compressed-scaled.jpg 2560w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/24-compressed-300x200.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/24-compressed-1024x683.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/24-compressed-768x512.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/24-compressed-1536x1024.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/24-compressed-2048x1365.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/24-compressed-16x12.jpg 16w\" sizes=\"(max-width: 2560px) 100vw, 2560px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/24-compressed\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-3626\"   data-ultimate-target='#uvc-exp-wrap-3626'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This course covers the principles and methodology for the design, evaluation and selection of a large variety of Machine Learning methods for supervised and unsupervised learning. Special emphasis is placed on algorithms suitable for parallel implementation to manage very large-scale data.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-46b696739ddb9829aff6822f36cc4593.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-46b696739ddb9829aff6822f36cc4593 > i {\n  margin-right: 8px;\n}\n#default-btn-46b696739ddb9829aff6822f36cc4593 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000941_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-46b696739ddb9829aff6822f36cc4593\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Data science foundations and applications<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>2 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"2560\" height=\"1440\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/25-min-scaled.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/25-min-scaled.jpg 2560w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/25-min-300x169.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/25-min-1024x576.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/25-min-768x432.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/25-min-1536x864.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/25-min-2048x1152.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/25-min-16x9.jpg 16w\" sizes=\"(max-width: 2560px) 100vw, 2560px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/25-min\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-8194\"   data-ultimate-target='#uvc-exp-wrap-8194'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This course aims to help students to gain a global perspective of all the courses in this Track. Students will learn to critically assess the value of different scientific and technological approaches to derive knowledge from data in real-world applications. Case studies and debates are addressed over a set of conferences bringing together leading experts in different sectors: Cognitive Radio and Networks, Future Internet Services, Social Networks and Multimedia Analytics, Internet-of-Things, Machine-to-Machine, Smart Cities, Smart Grids, Biomedical Applications, Biometrics and Forensics, Financial Services, Robotic systems...\n8 Signal Processing for Big Data\nThis course addresses new challenges of signal processing when applied on large-scale data, including processing algorithms for large-scale sparse data, as the Sparse Fourier transform, discrete signal processing on graphs (DSPG), and the use of Tensors for analyzing Big Data.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-cba5fb89cdb8bff11dcca83bbaefd1f1.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-cba5fb89cdb8bff11dcca83bbaefd1f1 > i {\n  margin-right: 8px;\n}\n#default-btn-cba5fb89cdb8bff11dcca83bbaefd1f1 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000942_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-cba5fb89cdb8bff11dcca83bbaefd1f1\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Machine learning lab<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>4.5 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"1920\" height=\"1080\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/MUTSC.jpeg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/MUTSC.jpeg 1920w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/MUTSC-300x169.jpeg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/MUTSC-1024x576.jpeg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/MUTSC-768x432.jpeg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/MUTSC-1536x864.jpeg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/MUTSC-16x9.jpeg 16w\" sizes=\"(max-width: 1920px) 100vw, 1920px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/grados-y-muit\/mutsc-2\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-5383\"   data-ultimate-target='#uvc-exp-wrap-5383'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>In this lab students will consolidate their knowledge of theories and fundamental background received along the first semester of the Master. Particular attention is given to experimental work on Big Data platforms and tools (Hadoop, Spark, H2O, R, Python, Scala,...) applied over practical large-scale problems. Several real use cases are considered, mainly working with financial time series, sensor signals, and speech and audio signals.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-251d9a7978fbd4a1916cd5a17f54abe7.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-251d9a7978fbd4a1916cd5a17f54abe7 > i {\n  margin-right: 8px;\n}\n#default-btn-251d9a7978fbd4a1916cd5a17f54abe7 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/1S\/GA_09AT_93000943_1S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-251d9a7978fbd4a1916cd5a17f54abe7\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Large scale media analytics<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>4 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"2560\" height=\"1551\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/31-min-scaled.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/31-min-scaled.jpg 2560w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/31-min-300x182.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/31-min-1024x620.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/31-min-768x465.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/31-min-1536x930.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/31-min-2048x1241.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/31-min-16x10.jpg 16w\" sizes=\"(max-width: 2560px) 100vw, 2560px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/31-min\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-9737\"   data-ultimate-target='#uvc-exp-wrap-9737'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This subject aims at presenting the most relevant techniques and methodologies to analyze multimedia collections at large scale. Several use cases are studied: large-scale content search and retrieval, automatic classification and content understanding, and hybrid (content-based and collaborative) multimedia recommendation systems.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-5be9b11047ad5d840087fceee197c192.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-5be9b11047ad5d840087fceee197c192 > i {\n  margin-right: 8px;\n}\n#default-btn-5be9b11047ad5d840087fceee197c192 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/2S\/GA_09AT_93000944_2S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-5be9b11047ad5d840087fceee197c192\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><\/div><div class=\"vc_row wpb_row vc_row-fluid vc_custom_1560787254950\"><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Signal processing for big data<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>4 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"659\" height=\"358\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/03\/26.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/03\/26.jpg 659w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/03\/26-300x163.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/03\/26-16x9.jpg 16w\" sizes=\"(max-width: 659px) 100vw, 659px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/attachment\/26\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-4297\"   data-ultimate-target='#uvc-exp-wrap-4297'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This course presents a selection of the most recent and relevant techniques for massively processing, transmitting and storing images and video. It addresses new concepts as new signal sampling frameworks, Compressive Sensing, Random projections, and introduces innovative practical use cases such as the intuitive visualization of high dimensional data and applications in the computer vision field.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-686ea41a00df73cca51f73f92b73eba9.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-686ea41a00df73cca51f73f92b73eba9 > i {\n  margin-right: 8px;\n}\n#default-btn-686ea41a00df73cca51f73f92b73eba9 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/2S\/GA_09AT_93000945_2S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-686ea41a00df73cca51f73f92b73eba9\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"cls_big_data wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Big data for image and video signals<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>4 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"2560\" height=\"1707\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/27-min-scaled.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/27-min-scaled.jpg 2560w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/27-min-300x200.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/27-min-1024x683.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/27-min-768x512.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/27-min-1536x1024.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/27-min-2048x1365.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/27-min-16x12.jpg 16w\" sizes=\"(max-width: 2560px) 100vw, 2560px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/27-min\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-6504\"   data-ultimate-target='#uvc-exp-wrap-6504'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This course presents a selection of the most recent and relevant techniques for massively processing, transmitting and storing images and video. It addresses new concepts as new signal sampling frameworks, Compressive Sensing, Random projections, and introduces innovative practical use cases such as the intuitive visualization of high dimensional data and applications in the computer vision field.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-c0e5b02c1b877a1f8cd7d1e770dd99f2.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-c0e5b02c1b877a1f8cd7d1e770dd99f2 > i {\n  margin-right: 8px;\n}\n#default-btn-c0e5b02c1b877a1f8cd7d1e770dd99f2 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/2S\/GA_09AT_93000946_2S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-c0e5b02c1b877a1f8cd7d1e770dd99f2\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Bio-inspired learning<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>3 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"1990\" height=\"1226\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/28-min.png\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/28-min.png 1990w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/28-min-300x185.png 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/28-min-1024x631.png 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/28-min-768x473.png 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/28-min-1536x946.png 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/28-min-16x10.png 16w\" sizes=\"(max-width: 1990px) 100vw, 1990px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/28-min\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-2665\"   data-ultimate-target='#uvc-exp-wrap-2665'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>The goal of this course is to develop biologically-inspired approaches to Machine Learning, including Artificial Neural Networks, Deep Neural Networks and Swarm Systems. The course also introduces concepts and applications of System of System Engineering and Simulation of Intelligent Systems.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-19abaee1dbc2a849e57be4672cb8b94f.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-19abaee1dbc2a849e57be4672cb8b94f > i {\n  margin-right: 8px;\n}\n#default-btn-19abaee1dbc2a849e57be4672cb8b94f * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/2S\/GA_09AT_93000947_2S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-19abaee1dbc2a849e57be4672cb8b94f\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Reinforcement learning<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>3 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"2560\" height=\"1440\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/29-min-scaled.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/29-min-scaled.jpg 2560w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/29-min-300x169.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/29-min-1024x576.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/29-min-768x432.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/29-min-1536x864.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/29-min-2048x1152.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/29-min-16x9.jpg 16w\" sizes=\"(max-width: 2560px) 100vw, 2560px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/29-min\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-5460\"   data-ultimate-target='#uvc-exp-wrap-5460'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>This course presents the motivation, fundamentals and different existing methods for solving Reinforcement Learning problems. Several practical use cases related to distributed communication and sensor networks are considered along the course.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-e8b591630eeed7f40e6c1dd576a053ed.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-e8b591630eeed7f40e6c1dd576a053ed > i {\n  margin-right: 8px;\n}\n#default-btn-e8b591630eeed7f40e6c1dd576a053ed * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/2S\/GA_09AT_93000948_2S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-e8b591630eeed7f40e6c1dd576a053ed\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><\/div><div class=\"vc_row wpb_row vc_row-fluid vc_custom_1560787254950\"><div class=\"cls_big_data wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Application projects<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>4 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"2560\" height=\"1879\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/30-min-scaled.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/30-min-scaled.jpg 2560w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/30-min-300x220.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/30-min-1024x752.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/30-min-768x564.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/30-min-1536x1128.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/30-min-2048x1503.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/30-min-16x12.jpg 16w\" sizes=\"(max-width: 2560px) 100vw, 2560px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/30-min\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-4059\"   data-ultimate-target='#uvc-exp-wrap-4059'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>In this course students can reinforce their learning experience working on practical projects that they can select from a broad range of areas: cognitive radio, sensor networks, social sensors, social graphs, sentiment analysis, smartphone sensors and social networks, smart cities, multimedia analytics (image, video, speech, music and audio), biometrics and forensic analytics, biomedical engineering, financial trading, environmental monitoring, robotics systems... This course will also propose Kaggle-style competitions (www.kaggle.com) where students will form teams and work together. This will allow students to apply the concepts learned in the different courses and develop the computational skills to analyze data in a collaborative setting.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-e20c0be4c40156bef58a3d3b37d19965.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-e20c0be4c40156bef58a3d3b37d19965 > i {\n  margin-right: 8px;\n}\n#default-btn-e20c0be4c40156bef58a3d3b37d19965 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/www.upm.es\/comun_gauss\/publico\/guias\/2025-26\/2S\/GA_09AT_93000949_2S_2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-s link-hover-off\" id=\"default-btn-e20c0be4c40156bef58a3d3b37d19965\"><span>Learning guide<\/span><\/a><\/div><\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><h4 style=\"color: #073796;text-align: left\" class=\"vc_custom_heading title_for_class\" >Master's Thesis (MT)<\/h4><div class=\"vc_separator wpb_content_element vc_separator_align_right vc_sep_width_100 vc_sep_pos_align_center vc_sep_color_grey vc_separator-has-text\" ><span class=\"vc_sep_holder vc_sep_holder_l\"><span  class=\"vc_sep_line\"><\/span><\/span><h4>12 ECTS<\/h4><span class=\"vc_sep_holder vc_sep_holder_r\"><span  class=\"vc_sep_line\"><\/span><\/span>\n<\/div>\n\t<div  class=\"wpb_single_image wpb_content_element vc_align_center\">\n\t\t\n\t\t<figure class=\"wpb_wrapper vc_figure\">\n\t\t\t<div class=\"vc_single_image-wrapper   vc_box_border_grey\"><img width=\"2560\" height=\"1707\" src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-scaled.jpg\" class=\"vc_single_image-img attachment-full\" alt=\"\" loading=\"lazy\" srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-scaled.jpg 2560w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-300x200.jpg 300w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-1024x683.jpg 1024w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-768x512.jpg 768w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-1536x1024.jpg 1536w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-2048x1365.jpg 2048w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/TFM-min-16x12.jpg 16w\" sizes=\"(max-width: 2560px) 100vw, 2560px\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/tfm-min\/\" \/><\/div>\n\t\t<\/figure>\n\t<\/div>\n<div class=\"ult_exp_section_layer ult-adjust-bottom-margin custom_expandable\" >\n\t<div id=\"uvc-exp-wrap-6357\"   data-ultimate-target='#uvc-exp-wrap-6357'  data-responsive-json-new='{\"font-size\":\"desktop:20px;\",\"line-height\":\"desktop:20px;\"}'  class=\"ult_exp_section  ult-responsive\" style=\"color:#ffffff;background-color:#073796; font-weight:normal;  text-align:center;\" data-textcolor=\"#ffffff\"data-texthover=\"#073796\"data-icncolor=\"#333333\"data-ihover=\"#333333\"data-height=\"0\"data-cntbg=\"#073796\"data-cnthvrbg=\"#ffffff\"data-headerbg=\"#073796\"data-headerhover=\"#ffffff\"data-title=\"Descripci\u00f3n\"data-newtitle=\"Ocultar descripci\u00f3n\"data-icon=\"\"data-newicon=\"\"data-activeicon=\"#333333\"data-effect=\"slideToggle\"data-override=\"0\"data-activetitle=\"#ffffff\"data-activebg=\"#073796\"data-img=\"\"data-newimg=\"\"><div  class=\"ult_exp_section-main\">\n\t\t\t\t\t<div class=\"ult_expheader\" >Description\n\t\t\t\t\t <\/div><\/div>\n\t\t\t\t<\/div><div class=\"ult_exp_content\" style=\"background-color:#ffffff;  \"><div class=\"ult_ecpsub_cont\" style=\" \" >\n\t<div class=\"wpb_text_column wpb_content_element  text_for_class\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>The Final Master Thesis offers a great opportunity to closely collaborate with your favorite professor on advanced topics to be agreed with him\/her. Located in the second semester with 12 ECTS, at that time you will have the global perspective about which are the more challenging topics or more demanded by local or international companies you desire to deepen. After an initial discussion with your academic advisor about your preferences, he\/she will put in contact with the most suitable researcher among our professors who will lead your final stage before obtaining the final degree. You will have the chance to access to the professional laboratories in our department and get involved in our research or our technological transfer projects. Finally you will have to elaborate an extended report describing your achievements and make an oral presentation defending your results in front of other professors experts in the field. In the end, you will have gained full professional maturity to continue your career in academia or high technological companies with unique capabilities.<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<\/div><\/div>\n\n\t\t\t<\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-3\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><\/div><\/div><\/div><\/div><div id=\"informacion_practica\" class=\"vc_row wpb_row vc_row-fluid\"><div class=\"wpb_column vc_column_container vc_col-sm-12 vc_col-lg-offset-2 vc_col-lg-8\"><div class=\"vc_column-inner vc_custom_1560418610056\"><div class=\"wpb_wrapper\"><h2 style=\"color: #ffffff;text-align: center\" class=\"vc_custom_heading wpb_animate_when_almost_visible wpb_bottom-to-top bottom-to-top\" >Practical information<\/h2><\/div><\/div><\/div><\/div><!-- Row Backgrounds --><div class=\"upb_bg_img\" data-ultimate-bg=\"url(https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Informacion-min-scaled.jpg)\" data-image-id=\"id^3443|url^http:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/Informacion-min-scaled.jpg|caption^null|alt^null|title^Informacion-min|description^null\" data-ultimate-bg-style=\"vcpb-default\" data-bg-img-repeat=\"repeat\" data-bg-img-size=\"cover\" data-bg-img-position=\"\" data-parallx_sense=\"30\" data-bg-override=\"ex-full\" data-bg_img_attach=\"scroll\" data-upb-overlay-color=\"rgba(38,45,55,0.5)\" data-upb-bg-animation=\"\" data-fadeout=\"fadeout_row_value\" data-bg-animation=\"left-animation\" data-bg-animation-type=\"h\" data-animation-repeat=\"repeat\" data-fadeout-percentage=\"30\" data-parallax-content=\"\" data-parallax-content-sense=\"30\" data-row-effect-mobile-disable=\"true\" data-img-parallax-mobile-disable=\"true\" data-rtl=\"false\"  data-custom-vc-row=\"\"  data-vc=\"6.1\"  data-is_old_vc=\"\"  data-theme-support=\"\"   data-overlay=\"true\" data-overlay-color=\"rgba(38,45,55,0.5)\" data-overlay-pattern=\"\" data-overlay-pattern-opacity=\"0.8\" data-overlay-pattern-size=\"\" data-overlay-pattern-attachment=\"scroll\"    data-seperator=\"true\"  data-seperator-type=\"tilt_left_seperator\"  data-seperator-shape-size=\"40\"  data-seperator-svg-height=\"100\"  data-seperator-full-width=\"true\" data-seperator-position=\"top_bottom_seperator\"  data-seperator-background-color=\"#fff\"  data-icon=\"\"  ><\/div><div class=\"vc_row wpb_row vc_row-fluid\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"vc_row wpb_row vc_inner vc_row-fluid vc_row-o-equal-height vc_row-flex\"><div class=\"wpb_column vc_column_container vc_col-sm-4\"><div class=\"vc_column-inner vc_custom_1560417813494\"><div class=\"wpb_wrapper\"><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-4\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div id=\"ultimate-heading-836669f5e7f1a2c86\" class=\"uvc-heading ult-adjust-bottom-margin ultimate-heading-836669f5e7f1a2c86 uvc-9963\" data-hspacer=\"no_spacer\"  data-halign=\"center\" style=\"text-align:center\"><div class=\"uvc-heading-spacer no_spacer\" style=\"top\"><\/div><div class=\"uvc-main-heading ult-responsive\"  data-ultimate-target='.uvc-heading.ultimate-heading-836669f5e7f1a2c86 h2'  data-responsive-json-new='{\"font-size\":\"desktop:24px;\",\"line-height\":\"desktop:34px;\"}' ><h2 style=\"font-weight:bold;margin-bottom:5px;\">Pre-registration<\/h2><\/div><div class=\"uvc-sub-heading ult-responsive\"  data-ultimate-target='.uvc-heading.ultimate-heading-836669f5e7f1a2c86 .uvc-sub-heading '  data-responsive-json-new='{\"font-size\":\"desktop:16px;\",\"line-height\":\"desktop:28px;\"}'  style=\"font-weight:normal;margin-bottom:20px;\">The University establishes the enrollment dates that are published in:<\/p>\n<p><a href=\"https:\/\/www.upm.es\/Estudiantes\/Estudios_Titulaciones\/Estudios_Master\">Estudios Oficiales de M\u00e1ster<\/a><\/p>\n<p>Official Master&#8217;s Degree Studies<\/div><\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-4\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><\/div><\/div><\/div><\/div><div class=\"vc_row wpb_row vc_inner vc_row-fluid vc_custom_1642086119951 vc_row-o-equal-height vc_row-flex\"><div class=\"wpb_column vc_column_container vc_col-sm-4\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div id=\"ultimate-heading-651569f5e7f1a2e58\" class=\"uvc-heading ult-adjust-bottom-margin ultimate-heading-651569f5e7f1a2e58 uvc-3407\" data-hspacer=\"no_spacer\"  data-halign=\"center\" style=\"text-align:center\"><div class=\"uvc-heading-spacer no_spacer\" style=\"top\"><\/div><div class=\"uvc-main-heading ult-responsive\"  data-ultimate-target='.uvc-heading.ultimate-heading-651569f5e7f1a2e58 h2'  data-responsive-json-new='{\"font-size\":\"desktop:24px;\",\"line-height\":\"desktop:34px;\"}' ><h2 style=\"font-weight:bold;margin-bottom:5px;\">Calendar and schedule<\/h2><\/div><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">.shortcode-single-image-wrap.shortcode-single-image-2853ed1274a232c6c8fc00c32c4e0efb.enable-bg-rollover .rollover i,\n.shortcode-single-image-wrap.shortcode-single-image-2853ed1274a232c6c8fc00c32c4e0efb.enable-bg-rollover .rollover-video i {\n  background: ;\n  background: -webkit-linear-gradient();\n  background: linear-gradient();\n}\n.shortcode-single-image-wrap.shortcode-single-image-2853ed1274a232c6c8fc00c32c4e0efb .rollover-icon {\n  font-size: 32px;\n  color: #ffffff;\n  min-width: 44px;\n  min-height: 44px;\n  line-height: 44px;\n  border-radius: 100px;\n  border-style: solid;\n  border-width: 0px;\n}\n.dt-icon-bg-on.shortcode-single-image-wrap.shortcode-single-image-2853ed1274a232c6c8fc00c32c4e0efb .rollover-icon {\n  background: rgba(255,255,255,0.3);\n  box-shadow: none;\n}\n<\/style><div class=\"shortcode-single-image-wrap shortcode-single-image-2853ed1274a232c6c8fc00c32c4e0efb alignnone  vc_custom_1642085623809 enable-bg-rollover dt-icon-bg-off\" ><div class=\"shortcode-single-image\"><div class=\"fancy-media-wrap  layzr-bg\" style=\"\"><img class=\"preload-me lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20200%20200&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/46-min-scaled-200x200.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/46-min-scaled-200x200.jpg 200w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/46-min-scaled-400x400.jpg 400w\" width=\"200\" height=\"200\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/46-min\/\" style=\"\" alt=\"\" \/><\/div><\/div><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-c81abbf94a3bdfb5b67c534f3ca3f510.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-c81abbf94a3bdfb5b67c534f3ca3f510 > i {\n  margin-right: 8px;\n}\n#default-btn-c81abbf94a3bdfb5b67c534f3ca3f510 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"http:\/\/ssr.upm.es\/wp-content\/uploads\/2025\/07\/MSTCcalendar2025-26.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off  vc_custom_1752422827802\" id=\"default-btn-c81abbf94a3bdfb5b67c534f3ca3f510\"><span>Calendario 2025-26<\/span><\/a><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-08194c2bd6baaab429c1c308289e4e39.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-08194c2bd6baaab429c1c308289e4e39 > i {\n  margin-right: 8px;\n}\n#default-btn-08194c2bd6baaab429c1c308289e4e39 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"http:\/\/ssr.upm.es\/wp-content\/uploads\/2025\/07\/MSTCschedule2025-26_S1.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off  vc_custom_1752645299243\" id=\"default-btn-08194c2bd6baaab429c1c308289e4e39\"><span>Horarios 1S 2025-26<\/span><\/a><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-8be4aa96cbb50b8e77a51f3a03add372.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-8be4aa96cbb50b8e77a51f3a03add372 > i {\n  margin-right: 8px;\n}\n#default-btn-8be4aa96cbb50b8e77a51f3a03add372 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"http:\/\/ssr.upm.es\/wp-content\/uploads\/2025\/07\/MSTCschedule2025-26_S2.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off\" id=\"default-btn-8be4aa96cbb50b8e77a51f3a03add372\"><span>Horarios 2S 2025-26<\/span><\/a><\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-4\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div id=\"ultimate-heading-852269f5e7f1a34a8\" class=\"uvc-heading ult-adjust-bottom-margin ultimate-heading-852269f5e7f1a34a8 uvc-4003\" data-hspacer=\"no_spacer\"  data-halign=\"center\" style=\"text-align:center\"><div class=\"uvc-heading-spacer no_spacer\" style=\"top\"><\/div><div class=\"uvc-main-heading ult-responsive\"  data-ultimate-target='.uvc-heading.ultimate-heading-852269f5e7f1a34a8 h2'  data-responsive-json-new='{\"font-size\":\"desktop:24px;\",\"line-height\":\"desktop:34px;\"}' ><h2 style=\"font-weight:bold;margin-bottom:5px;\">Exams<\/h2><\/div><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">.shortcode-single-image-wrap.shortcode-single-image-8e9b73c74d2b50f7ffa813b1735143a3.enable-bg-rollover .rollover i,\n.shortcode-single-image-wrap.shortcode-single-image-8e9b73c74d2b50f7ffa813b1735143a3.enable-bg-rollover .rollover-video i {\n  background: ;\n  background: -webkit-linear-gradient();\n  background: linear-gradient();\n}\n.shortcode-single-image-wrap.shortcode-single-image-8e9b73c74d2b50f7ffa813b1735143a3 .rollover-icon {\n  font-size: 32px;\n  color: #ffffff;\n  min-width: 44px;\n  min-height: 44px;\n  line-height: 44px;\n  border-radius: 100px;\n  border-style: solid;\n  border-width: 0px;\n}\n.dt-icon-bg-on.shortcode-single-image-wrap.shortcode-single-image-8e9b73c74d2b50f7ffa813b1735143a3 .rollover-icon {\n  background: rgba(255,255,255,0.3);\n  box-shadow: none;\n}\n<\/style><div class=\"shortcode-single-image-wrap shortcode-single-image-8e9b73c74d2b50f7ffa813b1735143a3 alignnone  vc_custom_1642085630895 enable-bg-rollover dt-icon-bg-off\" ><div class=\"shortcode-single-image\"><div class=\"fancy-media-wrap  layzr-bg\" style=\"\"><img class=\"preload-me lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20200%20200&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/exams-200x200.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/exams-200x200.jpg 200w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/exams-400x400.jpg 400w\" width=\"200\" height=\"200\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/exams\/\" style=\"\" alt=\"\" \/><\/div><\/div><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-e2c79006f0bfe18ceaf05cd8790e9da9.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-e2c79006f0bfe18ceaf05cd8790e9da9 > i {\n  margin-right: 8px;\n}\n#default-btn-e2c79006f0bfe18ceaf05cd8790e9da9 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"http:\/\/ssr.upm.es\/wp-content\/uploads\/2025\/07\/MSTCexams2025-26_S1.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off  vc_custom_1752424938928\" id=\"default-btn-e2c79006f0bfe18ceaf05cd8790e9da9\"><span>Ex\u00e1menes 1S 2025-26<\/span><\/a><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-51f22f25c3d084e80cbb814f95452f8d.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-51f22f25c3d084e80cbb814f95452f8d > i {\n  margin-right: 8px;\n}\n#default-btn-51f22f25c3d084e80cbb814f95452f8d * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"http:\/\/ssr.upm.es\/wp-content\/uploads\/2025\/07\/MSTCexams2025-26_S2.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off  vc_custom_1752425167848\" id=\"default-btn-51f22f25c3d084e80cbb814f95452f8d\"><span>Ex\u00e1menes 2S 2025-26<\/span><\/a><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-e687512e6fc74374f2392d98e95ceb0c.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-e687512e6fc74374f2392d98e95ceb0c > i {\n  margin-right: 8px;\n}\n#default-btn-e687512e6fc74374f2392d98e95ceb0c * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"http:\/\/ssr.upm.es\/wp-content\/uploads\/2025\/07\/MSTCexams2025-26_X.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off\" id=\"default-btn-e687512e6fc74374f2392d98e95ceb0c\"><span>Ex\u00e1menes extra 2025-26<\/span><\/a><\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-4\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div id=\"ultimate-heading-444969f5e7f1a3a56\" class=\"uvc-heading ult-adjust-bottom-margin ultimate-heading-444969f5e7f1a3a56 uvc-7002\" data-hspacer=\"no_spacer\"  data-halign=\"center\" style=\"text-align:center\"><div class=\"uvc-heading-spacer no_spacer\" style=\"top\"><\/div><div class=\"uvc-main-heading ult-responsive\"  data-ultimate-target='.uvc-heading.ultimate-heading-444969f5e7f1a3a56 h2'  data-responsive-json-new='{\"font-size\":\"desktop:24px;\",\"line-height\":\"desktop:34px;\"}' ><h2 style=\"font-weight:bold;margin-bottom:5px;\">Misc<\/h2><\/div><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">.shortcode-single-image-wrap.shortcode-single-image-e048ebfc02d39d2e63dd44a584d9543c.enable-bg-rollover .rollover i,\n.shortcode-single-image-wrap.shortcode-single-image-e048ebfc02d39d2e63dd44a584d9543c.enable-bg-rollover .rollover-video i {\n  background: ;\n  background: -webkit-linear-gradient();\n  background: linear-gradient();\n}\n.shortcode-single-image-wrap.shortcode-single-image-e048ebfc02d39d2e63dd44a584d9543c .rollover-icon {\n  font-size: 32px;\n  color: #ffffff;\n  min-width: 44px;\n  min-height: 44px;\n  line-height: 44px;\n  border-radius: 100px;\n  border-style: solid;\n  border-width: 0px;\n}\n.dt-icon-bg-on.shortcode-single-image-wrap.shortcode-single-image-e048ebfc02d39d2e63dd44a584d9543c .rollover-icon {\n  background: rgba(255,255,255,0.3);\n  box-shadow: none;\n}\n<\/style><div class=\"shortcode-single-image-wrap shortcode-single-image-e048ebfc02d39d2e63dd44a584d9543c alignnone  vc_custom_1642085647643 enable-bg-rollover dt-icon-bg-off\" ><div class=\"shortcode-single-image\"><div class=\"fancy-media-wrap  layzr-bg\" style=\"\"><img class=\"preload-me lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20200%20200&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/05\/otros_links-200x200.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/05\/otros_links-200x200.jpg 200w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/05\/otros_links-400x400.jpg 400w\" width=\"200\" height=\"200\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/mutsc\/otros_links\/\" style=\"\" alt=\"\" \/><\/div><\/div><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-d0971cc0172917954a9306863d733ead.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-d0971cc0172917954a9306863d733ead > i {\n  margin-right: 8px;\n}\n#default-btn-d0971cc0172917954a9306863d733ead * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"\/wp-content\/uploads\/2020\/05\/Triptico_42x21_2_compressed.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off  vc_custom_1642084903659\" id=\"default-btn-d0971cc0172917954a9306863d733ead\"><span>Flyer<\/span><\/a><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-8cc5908914948093156b52f94893db8e.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-8cc5908914948093156b52f94893db8e > i {\n  margin-right: 8px;\n}\n#default-btn-8cc5908914948093156b52f94893db8e * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"\/wp-content\/uploads\/2020\/05\/Competences.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off  vc_custom_1642084919178\" id=\"default-btn-8cc5908914948093156b52f94893db8e\"><span>Competencies<\/span><\/a><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-7dc95a05de80513d7c5095b48f164499.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-7dc95a05de80513d7c5095b48f164499 > i {\n  margin-right: 8px;\n}\n#default-btn-7dc95a05de80513d7c5095b48f164499 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"\/wp-content\/uploads\/2020\/05\/Quality.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off  vc_custom_1642084933841\" id=\"default-btn-7dc95a05de80513d7c5095b48f164499\"><span>Quality system<\/span><\/a><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-0e81f452dfb1f780939ce77b79ced870.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-0e81f452dfb1f780939ce77b79ced870 > i {\n  margin-right: 8px;\n}\n#default-btn-0e81f452dfb1f780939ce77b79ced870 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"\/wp-content\/uploads\/2023\/10\/Acceso_y_Admision_MUTSC.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off  vc_custom_1698662046819\" target=\"_blank\" id=\"default-btn-0e81f452dfb1f780939ce77b79ced870\" rel=\"noopener\"><span>Access and Admission<\/span><\/a><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-a873d9baa2b7a48662b59bd77cba0ff8.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-a873d9baa2b7a48662b59bd77cba0ff8 > i {\n  margin-right: 8px;\n}\n#default-btn-a873d9baa2b7a48662b59bd77cba0ff8 * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"\/wp-content\/uploads\/2023\/10\/Tutores_TFM_MUTSC.pdf\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off  vc_custom_1698664617055\" target=\"_blank\" id=\"default-btn-a873d9baa2b7a48662b59bd77cba0ff8\" rel=\"noopener\"><span>M.Sc. thesis Supervisors<\/span><\/a><\/div><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">#default-btn-0811b105e73b30b9d04d3ff1527f719e.ico-right-side > i {\n  margin-right: 0px;\n  margin-left: 8px;\n}\n#default-btn-0811b105e73b30b9d04d3ff1527f719e > i {\n  margin-right: 8px;\n}\n#default-btn-0811b105e73b30b9d04d3ff1527f719e * {\n  vertical-align: middle;\n}\n<\/style><div class=\"btn-align-center\"><a href=\"https:\/\/sqf.etsit.upm.es\/sqfApp\/\" class=\"default-btn-shortcode dt-btn dt-btn-m link-hover-off\" id=\"default-btn-0811b105e73b30b9d04d3ff1527f719e\"><span>Suggestions, etc.<\/span><\/a><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div id=\"socios_colaboradores\" class=\"vc_row wpb_row vc_row-fluid\"><div class=\"wpb_column vc_column_container vc_col-sm-12 vc_col-lg-offset-2 vc_col-lg-8\"><div class=\"vc_column-inner vc_custom_1560418610056\"><div class=\"wpb_wrapper\"><h2 style=\"color: #ffffff;text-align: center\" class=\"vc_custom_heading wpb_animate_when_almost_visible wpb_bottom-to-top bottom-to-top\" >Cooperating partners<\/h2><\/div><\/div><\/div><\/div><!-- Row Backgrounds --><div class=\"upb_bg_img\" data-ultimate-bg=\"url(https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/48-min-scaled.jpg)\" data-image-id=\"id^3447|url^http:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/05\/48-min-scaled.jpg|caption^null|alt^null|title^48-min|description^null\" data-ultimate-bg-style=\"vcpb-default\" data-bg-img-repeat=\"repeat\" data-bg-img-size=\"cover\" data-bg-img-position=\"\" data-parallx_sense=\"30\" data-bg-override=\"ex-full\" data-bg_img_attach=\"scroll\" data-upb-overlay-color=\"rgba(38,45,55,0.5)\" data-upb-bg-animation=\"\" data-fadeout=\"fadeout_row_value\" data-bg-animation=\"left-animation\" data-bg-animation-type=\"h\" data-animation-repeat=\"repeat\" data-fadeout-percentage=\"30\" data-parallax-content=\"\" data-parallax-content-sense=\"30\" data-row-effect-mobile-disable=\"true\" data-img-parallax-mobile-disable=\"true\" data-rtl=\"false\"  data-custom-vc-row=\"\"  data-vc=\"6.1\"  data-is_old_vc=\"\"  data-theme-support=\"\"   data-overlay=\"true\" data-overlay-color=\"rgba(38,45,55,0.5)\" data-overlay-pattern=\"\" data-overlay-pattern-opacity=\"0.8\" data-overlay-pattern-size=\"\" data-overlay-pattern-attachment=\"scroll\"    data-seperator=\"true\"  data-seperator-type=\"tilt_left_seperator\"  data-seperator-shape-size=\"40\"  data-seperator-svg-height=\"100\"  data-seperator-full-width=\"true\" data-seperator-position=\"top_bottom_seperator\"  data-seperator-background-color=\"#fff\"  data-icon=\"\"  ><\/div><div class=\"vc_row wpb_row vc_row-fluid\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a {\n  width: 36px;\n  height: 36px;\n  border-radius: 500px;\n}\n.dt-arrow-border-on.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a:not(:hover):before {\n  border-width: 0px;\n}\n.dt-arrow-hover-border-on.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a:hover:after {\n  border-width: 0px;\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a.owl-prev {\n  top: 50%;\n  transform: translateY(calc(-50% + 0px));\n  left: -43px;\n}\n@media all and (-ms-high-contrast: none) {\n  .gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a.owl-prev {\n    transform: translateY(-50%);\n    margin-top: 0px;\n  }\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a.owl-prev i {\n  padding: 0px 0px 0px 0px;\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a.owl-next {\n  top: 50%;\n  transform: translateY(calc(-50% + 0px));\n  right: -43px;\n}\n@media all and (-ms-high-contrast: none) {\n  .gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a.owl-next {\n    transform: translateY(-50%);\n    margin-top: 0px;\n  }\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a.owl-next i {\n  padding: 0px 0px 0px 0px;\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav i {\n  font-size: 18px;\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a:not(:hover) i,\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a:not(:hover) i:before {\n  color: #ffffff;\n  background: none;\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a:hover i,\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-nav a:hover i:before {\n  color: rgba(255,255,255,0.75);\n  background: none;\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-dots {\n  top: calc(100% + 20px);\n  left: 50%;\n  transform: translateX(calc(-50% + 0px));\n}\n@media all and (-ms-high-contrast: none) {\n  .gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-dots {\n    transform: translateX(-50%);\n    margin-left: 0px;\n  }\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .owl-dot {\n  width: 10px;\n  height: 10px;\n  margin: 0 8px;\n}\n@media screen and (max-width: 778px) {\n  .gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.hide-arrows .owl-nav a {\n    display: none;\n  }\n}\n@media screen and (max-width: 778px) {\n  .gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.reposition-arrows .owl-nav .owl-prev {\n    top: 50%;\n    transform: translateY(calc(-50% + 0px));\n    left: 10px;\n  }\n  .gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.reposition-arrows .owl-nav .owl-next {\n    top: 50%;\n    transform: translateY(calc(-50% + 0px));\n    right: 10px;\n  }\n}\n@media screen and (max-width: 778px) and all and (-ms-high-contrast: none) {\n  .gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.reposition-arrows .owl-nav .owl-prev {\n    transform: translateY(-50%);\n    margin-top: 0px;\n  }\n}\n@media screen and (max-width: 778px) and all and (-ms-high-contrast: none) {\n  .gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.reposition-arrows .owl-nav .owl-next {\n    transform: translateY(-50%);\n    margin-top: 0px;\n  }\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 figure,\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .rollover,\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 img,\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 .gallery-rollover {\n  border-radius: 0px;\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.enable-bg-rollover .gallery-rollover {\n  background: ;\n  background: -webkit-linear-gradient();\n  background: linear-gradient();\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.enable-img-shadow figure {\n  box-shadow: ;\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.enable-img-shadow .owl-stage-outer {\n  padding: 14px 0;\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.enable-bg-rollover.hover-scale figure .rollover:after {\n  background: ;\n  background: -webkit-linear-gradient();\n  background: linear-gradient();\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.gallery-shortcode .gallery-zoom-ico {\n  width: 44px;\n  height: 44px;\n  line-height: 44px;\n  border-radius: 100px;\n  margin: -22px 0 0 -22px;\n  border-width: 0px;\n}\n.dt-icon-bg-on.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.gallery-shortcode .gallery-zoom-ico {\n  background: rgba(255,255,255,0.3);\n  box-shadow: none;\n}\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.gallery-shortcode .gallery-zoom-ico:before,\n.gallery-carousel-shortcode.gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12.gallery-shortcode .gallery-zoom-ico span {\n  font-size: 32px;\n  line-height: 44px;\n  color: #ffffff;\n  background: none;\n}\n<\/style><div class=\"owl-carousel gallery-carousel-shortcode gallery-shortcode  dt-gallery-container dt-owl-carousel-call gallery-carousel-shortcode-id-06b76e50bdbabd52464b27e85a85bb12 quick-scale-img enable-bg-rollover meta-info-off dt-arrow-border-on dt-arrow-hover-border-on bullets-small-dot-stroke reposition-arrows dt-icon-bg-off arrows-bg-on disable-arrows-hover-bg arrows-hover-bg-on  hover-fade\" data-scroll-mode=\"1\" data-col-num=\"6\" data-wide-col-num=\"6\" data-laptop-col=\"5\" data-h-tablet-columns-num=\"4\" data-v-tablet-columns-num=\"3\" data-phone-columns-num=\"1\" data-col-gap=\"10\" data-stage-padding=\"0\" data-speed=\"600\" data-autoplay=\"false\" data-autoplay_speed=\"6000\" data-arrows=\"true\" data-bullet=\"false\" data-next-icon=\"icon-ar-017-r\" data-prev-icon=\"icon-ar-017-l\" data-img-shadow-size=\"12px\" data-img-shadow-spread=\"3px\"><div data-post-id=\"2386\" data-date=\"2020-04-24T12:50:29+02:00\" data-name=\"capgemini-Consulting\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/capgemini-Consulting.png\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"800\" data-large_image_height=\"95\" data-dt-img-description=\"\" title=\"capgemini-Consulting\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20800%2095&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/capgemini-Consulting.png\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/capgemini-Consulting.png 800w\" alt=\"\" width=\"800\" height=\"95\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2387\" data-date=\"2020-04-24T12:50:29+02:00\" data-name=\"tyro\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/tyro.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"354\" data-large_image_height=\"128\" data-dt-img-description=\"\" title=\"tyro\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20354%20128&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/tyro.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/tyro.jpg 354w\" alt=\"\" width=\"354\" height=\"128\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2388\" data-date=\"2020-04-24T12:50:29+02:00\" data-name=\"evo\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/evo.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"172\" data-large_image_height=\"258\" data-dt-img-description=\"\" title=\"evo\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20172%20258&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/evo.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/evo.jpg 172w\" alt=\"\" width=\"172\" height=\"258\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2389\" data-date=\"2020-04-24T12:50:29+02:00\" data-name=\"bigeek\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/bigeek.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"244\" data-large_image_height=\"259\" data-dt-img-description=\"\" title=\"bigeek\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20244%20259&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/bigeek.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/bigeek.jpg 244w\" alt=\"\" width=\"244\" height=\"259\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2390\" data-date=\"2020-04-24T12:50:29+02:00\" data-name=\"orenge\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/orenge.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"338\" data-large_image_height=\"333\" data-dt-img-description=\"\" title=\"orenge\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20338%20333&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/orenge.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/orenge.jpg 338w\" alt=\"\" width=\"338\" height=\"333\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2391\" data-date=\"2020-04-24T12:50:29+02:00\" data-name=\"bbva\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/bbva.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"322\" data-large_image_height=\"289\" data-dt-img-description=\"\" title=\"bbva\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20322%20289&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/bbva.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/bbva.jpg 322w\" alt=\"\" width=\"322\" height=\"289\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2392\" data-date=\"2020-04-24T12:50:30+02:00\" data-name=\"stratio\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/stratio.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"349\" data-large_image_height=\"243\" data-dt-img-description=\"\" title=\"stratio\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20349%20243&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/stratio.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/stratio.jpg 349w\" alt=\"\" width=\"349\" height=\"243\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2393\" data-date=\"2020-04-24T12:50:30+02:00\" data-name=\"ener\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/ener.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"350\" data-large_image_height=\"166\" data-dt-img-description=\"\" title=\"ener\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20350%20166&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/ener.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/ener.jpg 350w\" alt=\"\" width=\"350\" height=\"166\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2394\" data-date=\"2020-04-24T12:50:30+02:00\" data-name=\"airbus\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/airbus.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"213\" data-large_image_height=\"60\" data-dt-img-description=\"\" title=\"airbus\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20213%2060&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/airbus.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/airbus.jpg 213w\" alt=\"\" width=\"213\" height=\"60\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2395\" data-date=\"2020-04-24T12:50:30+02:00\" data-name=\"indra\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/indra.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"350\" data-large_image_height=\"166\" data-dt-img-description=\"\" title=\"indra\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20350%20166&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/indra.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/indra.jpg 350w\" alt=\"\" width=\"350\" height=\"166\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2396\" data-date=\"2020-04-24T12:50:30+02:00\" data-name=\"keedio\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/keedio.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"213\" data-large_image_height=\"102\" data-dt-img-description=\"\" title=\"keedio\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20213%20102&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/keedio.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/keedio.jpg 213w\" alt=\"\" width=\"213\" height=\"102\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2397\" data-date=\"2020-04-24T12:50:30+02:00\" data-name=\"telefonica\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/telefonica.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"213\" data-large_image_height=\"61\" data-dt-img-description=\"\" title=\"telefonica\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20213%2061&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/telefonica.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/telefonica.jpg 213w\" alt=\"\" width=\"213\" height=\"61\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2398\" data-date=\"2020-04-24T12:50:31+02:00\" data-name=\"gmv\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/gmv.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"213\" data-large_image_height=\"91\" data-dt-img-description=\"\" title=\"gmv\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20213%2091&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/gmv.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/gmv.jpg 213w\" alt=\"\" width=\"213\" height=\"91\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><div data-post-id=\"2399\" data-date=\"2020-04-24T12:50:31+02:00\" data-name=\"astellia\"><figure class=\"post\"><a href=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/astellia.jpg\" class=\"rollover dt-pswp-item layzr-bg\" data-large_image_width=\"213\" data-large_image_height=\"54\" data-dt-img-description=\"\" title=\"astellia\"><img class=\"preload-me owl-lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20213%2054&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/astellia.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/04\/astellia.jpg 213w\" alt=\"\" width=\"213\" height=\"54\"  \/><span class=\"gallery-rollover\"><span class=\"gallery-zoom-ico icomoon-the7-font-the7-zoom-06\"><span><\/span><\/span><\/span><\/a><\/figure><\/div><\/div><\/div><\/div><\/div><\/div><div id=\"recomendaciones\" class=\"vc_row wpb_row vc_row-fluid vc_custom_1620382620309\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div id=\"ultimate-heading-590169f5e7f1a612d\" class=\"uvc-heading ult-adjust-bottom-margin ultimate-heading-590169f5e7f1a612d uvc-7910 accent-border-color uvc-heading-default-font-sizes\" data-hspacer=\"no_spacer\"  data-halign=\"center\" style=\"text-align:center\"><div class=\"uvc-heading-spacer no_spacer\" style=\"top\"><\/div><div class=\"uvc-main-heading ult-responsive\"  data-ultimate-target='.uvc-heading.ultimate-heading-590169f5e7f1a612d h2'  data-responsive-json-new='{\"font-size\":\"\",\"line-height\":\"\"}' ><h2 style=\"--font-weight:theme;margin-top:120px;margin-bottom:60px;\">Testimonials<\/h2><\/div><\/div><div class=\"vc_row wpb_row vc_inner vc_row-fluid\"><div class=\"wpb_column vc_column_container vc_col-sm-6\"><div class=\"vc_column-inner vc_custom_1621246497723\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_raw_code wpb_content_element wpb_raw_html\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<div style=\"display: flex;\">\n<img src=\"\/wp-content\/uploads\/2022\/06\/RaquelDuenas.jpg\" width=\"180\" height=\"180\" style=\"padding-right: 20px;\">\n<div>\n<h5>The most relevant feature I'd like to stress about MSTC is the balanced combination of theory and practice. Throughout my undergraduate studies I felt problems are faced from the theoretical perspective, whereas in MSTC they are faced from both the theory and practice viewpoints, with a clear application to the real engineering world.<\/h5>\nRaquel Due\u00f1as Su\u00e1rez - Data scientist en SGAE\n<\/div>\n<\/div>\n\t\t<\/div>\n\t<\/div>\n<\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-6\"><div class=\"vc_column-inner vc_custom_1621246617522\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_raw_code wpb_content_element wpb_raw_html\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<div style=\"display: flex;\">\n<img src=\"\/wp-content\/uploads\/2021\/03\/carlos_rodriguez_.jpg\" width=\"180\" height=\"180\" style=\"padding-right: 20px;\">\n<div>\n<h5>MTSC gave me a higher specialisation in the signal processing and machine learning areas, besides critical thinking to tackle different problems in AI and business.<\/h5>\nCarlos Rodr\u00edguez Abell\u00e1n - Senior Data Scientist en Telef\u00f3nica\n<\/div>\n<\/div>\n\t\t<\/div>\n\t<\/div>\n<\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-6\"><div class=\"vc_column-inner vc_custom_1560421363056\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_raw_code wpb_content_element wpb_raw_html\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<div style=\"display: flex;\">\n<img src=\"\/wp-content\/uploads\/2021\/03\/xia.jpg\" width=\"180\" height=\"180\" style=\"padding-right: 20px;\">\n<div>\n<h5>From the SSR department I can highlight the professional attitude, the wide knowledge from the faculties and the tight relationship between students and faculties.<\/h5>\nXiaolian Sun - Especialista en medidas de antenas en LEHA (Laboratoratorio de Ensayos y Homologaci\u00f3n de Antenas de la UPM)\n<\/div>\n<\/div>\n\t\t<\/div>\n\t<\/div>\n<\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-6\"><div class=\"vc_column-inner vc_custom_1560421369779\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_raw_code wpb_content_element wpb_raw_html\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<div style=\"display: flex;\">\n<img src=\"\/wp-content\/uploads\/2021\/03\/Ekhi_.jpg\" width=\"180\" height=\"180\" style=\"padding-right: 20px;\">\n<div>\n<h5>After 13 years working in the satellite communications sector, I was looking for expanding my knowledge. Finding this M.Sc. degree was exactly what I needed. I knew that UPM was the university which was going to provide me a high quality learning programme.<\/h5>\nEkhi Uranga - Centro Europeo de Astronom\u00eda Espacial (ESAC) de la Agencia Europea del Espacio (ESA)\n<\/div>\n<\/div>\n\t\t<\/div>\n\t<\/div>\n<\/div><\/div><\/div><\/div><div class=\"vc_row wpb_row vc_inner vc_row-fluid\"><div class=\"wpb_column vc_column_container vc_col-sm-6\"><div class=\"vc_column-inner vc_custom_1621246617522\"><div class=\"wpb_wrapper\">\n\t<div class=\"wpb_raw_code wpb_content_element wpb_raw_html\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<div style=\"display: flex;\">\n<img src=\"\/wp-content\/uploads\/2022\/06\/TessaMennink.jpg\" width=\"180\" height=\"180\" style=\"padding-right: 20px;\">\n<div>\n<h5>Next to the fact that I enjoyed the content of the courses of UPM's MSTC, I also found the quality of education very good and got motivated by the enthusiasm of the professors. Also, I have been truly touched by their dedication and willingness to assist students. All in all, my time at UPM exceeded all my expectations.<\/h5>\nTessa Mennink - Delft University of Technology\n<\/div>\n<\/div>\n\t\t<\/div>\n\t<\/div>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div id=\"contacto\" class=\"vc_row wpb_row vc_row-fluid vc_custom_1619694236583\"><div class=\"wpb_column vc_column_container vc_col-sm-12 vc_col-lg-offset-2 vc_col-lg-8\"><div class=\"vc_column-inner vc_custom_1560418610056\"><div class=\"wpb_wrapper\"><h2 style=\"color: #ffffff;text-align: center\" class=\"vc_custom_heading wpb_animate_when_almost_visible wpb_bottom-to-top bottom-to-top\" >Contact<\/h2><\/div><\/div><\/div><\/div><!-- Row Backgrounds --><div class=\"upb_bg_img\" data-ultimate-bg=\"url(https:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/49-min-1-scaled.jpg)\" data-image-id=\"id^3305|url^http:\/\/ssr.upm.es\/wp-content\/uploads\/2021\/04\/49-min-1-scaled.jpg|caption^null|alt^null|title^49-min (1)|description^null\" data-ultimate-bg-style=\"vcpb-default\" data-bg-img-repeat=\"repeat\" data-bg-img-size=\"cover\" data-bg-img-position=\"\" data-parallx_sense=\"30\" data-bg-override=\"ex-full\" data-bg_img_attach=\"scroll\" data-upb-overlay-color=\"rgba(38,45,55,0.5)\" data-upb-bg-animation=\"\" data-fadeout=\"fadeout_row_value\" data-bg-animation=\"left-animation\" data-bg-animation-type=\"h\" data-animation-repeat=\"repeat\" data-fadeout-percentage=\"30\" data-parallax-content=\"\" data-parallax-content-sense=\"30\" data-row-effect-mobile-disable=\"true\" data-img-parallax-mobile-disable=\"true\" data-rtl=\"false\"  data-custom-vc-row=\"\"  data-vc=\"6.1\"  data-is_old_vc=\"\"  data-theme-support=\"\"   data-overlay=\"true\" data-overlay-color=\"rgba(38,45,55,0.5)\" data-overlay-pattern=\"\" data-overlay-pattern-opacity=\"0.8\" data-overlay-pattern-size=\"\" data-overlay-pattern-attachment=\"scroll\"    data-seperator=\"true\"  data-seperator-type=\"tilt_left_seperator\"  data-seperator-shape-size=\"40\"  data-seperator-svg-height=\"100\"  data-seperator-full-width=\"true\" data-seperator-position=\"top_bottom_seperator\"  data-seperator-background-color=\"#fff\"  data-icon=\"\"  ><\/div><div class=\"vc_row wpb_row vc_row-fluid\"><div class=\"wpb_column vc_column_container vc_col-sm-12\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"vc_row wpb_row vc_inner vc_row-fluid vc_row-o-equal-height vc_row-flex\"><div class=\"wpb_column vc_column_container vc_col-sm-6\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><style type=\"text\/css\" data-type=\"the7_shortcodes-inline-css\">.shortcode-single-image-wrap.shortcode-single-image-71d89e29881479d2293d380d602bd12c.enable-bg-rollover .rollover i,\n.shortcode-single-image-wrap.shortcode-single-image-71d89e29881479d2293d380d602bd12c.enable-bg-rollover .rollover-video i {\n  background: ;\n  background: -webkit-linear-gradient();\n  background: linear-gradient();\n}\n.shortcode-single-image-wrap.shortcode-single-image-71d89e29881479d2293d380d602bd12c .rollover-icon {\n  font-size: 32px;\n  color: #ffffff;\n  min-width: 44px;\n  min-height: 44px;\n  line-height: 44px;\n  border-radius: 100px;\n  border-style: solid;\n  border-width: 0px;\n}\n.dt-icon-bg-on.shortcode-single-image-wrap.shortcode-single-image-71d89e29881479d2293d380d602bd12c .rollover-icon {\n  background: rgba(255,255,255,0.3);\n  box-shadow: none;\n}\n<\/style><div class=\"shortcode-single-image-wrap shortcode-single-image-71d89e29881479d2293d380d602bd12c alignnone  enable-bg-rollover dt-icon-bg-off\" style=\"margin-top:0px; margin-bottom:0px; margin-left:0px; margin-right:0px;\"><div class=\"shortcode-single-image cls_right_img\"><div class=\"fancy-media-wrap  layzr-bg\" style=\"\"><img class=\"preload-me lazy-load\" src=\"data:image\/svg+xml,%3Csvg%20xmlns%3D&#39;http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg&#39;%20viewBox%3D&#39;0%200%20299%20200&#39;%2F%3E\" data-src=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/05\/Gonzalez-de-Aza-Miguel-A\u0301ngel-299x200.jpg\" data-srcset=\"https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/05\/Gonzalez-de-Aza-Miguel-A\u0301ngel-299x200.jpg 299w, https:\/\/ssr.upm.es\/wp-content\/uploads\/2020\/05\/Gonzalez-de-Aza-Miguel-A\u0301ngel-598x400.jpg 598w\" width=\"299\" height=\"200\"  data-dt-location=\"https:\/\/ssr.upm.es\/en\/dt_team\/miguel-angel-gonzalez-de-aza\/gonzalez-de-aza-miguel-angel\/\" style=\"\" alt=\"\" \/><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"wpb_column vc_column_container vc_col-sm-6\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"vc_empty_space\"   style=\"height: 64px\"><span class=\"vc_empty_space_inner\"><\/span><\/div>\n\t<div class=\"wpb_text_column wpb_content_element\" >\n\t\t<div class=\"wpb_wrapper\">\n\t\t\t<p>MSTC Coordinator: Miguel \u00c1ngel Gonz\u00e1lez de Aza<\/p>\n<p>Email: m&#97;&#x73;&#x74;e&#114;&#x2e;&#x74;s&#99;&#64;&#x75;&#x70;m&#46;&#x65;&#x73;<\/p>\n<p>Telephone: +34 9106 72303<\/p>\n\n\t\t<\/div>\n\t<\/div>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div>","protected":false},"excerpt":{"rendered":"<p>EN EXTINCION: Itinerario \u201cTecnolog\u00edas y sistemas de radiofrecuencia\u201dCurso 2026\/2027: M\u00e1ster Universitario en Ingenier\u00eda de RadiofrecuenciaItinerario \u201cProcesado de se\u00f1al y aprendizaje autom\u00e1tico para datos masivos\u201dInformaci\u00f3n pr\u00e1cticaSocios colaboradoresRecomendacionesContacto El M\u00e1ster Universitario (MU) en Teor\u00eda de la Se\u00f1al y Comunicaciones (TSC) es una titulaci\u00f3n ofrecida por el Departamento de Se\u00f1ales, Sistemas y Radiocomunicaciones (SSR) de la Escuela T\u00e9cnica&hellip;<\/p>","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/ssr.upm.es\/en\/wp-json\/wp\/v2\/pages\/2153"}],"collection":[{"href":"https:\/\/ssr.upm.es\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ssr.upm.es\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ssr.upm.es\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ssr.upm.es\/en\/wp-json\/wp\/v2\/comments?post=2153"}],"version-history":[{"count":443,"href":"https:\/\/ssr.upm.es\/en\/wp-json\/wp\/v2\/pages\/2153\/revisions"}],"predecessor-version":[{"id":4641,"href":"https:\/\/ssr.upm.es\/en\/wp-json\/wp\/v2\/pages\/2153\/revisions\/4641"}],"wp:attachment":[{"href":"https:\/\/ssr.upm.es\/en\/wp-json\/wp\/v2\/media?parent=2153"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}