{"id":2859,"date":"2026-02-12T11:04:43","date_gmt":"2026-02-12T10:04:43","guid":{"rendered":"https:\/\/academics.dii.unipd.it\/phd\/?post_type=avada_portfolio&#038;p=2859"},"modified":"2026-03-13T11:27:31","modified_gmt":"2026-03-13T10:27:31","slug":"transvers","status":"publish","type":"avada_portfolio","link":"https:\/\/academics.dii.unipd.it\/phd\/avada_portfolio\/transvers\/","title":{"rendered":"TRANSVERSAL &amp; METHODOLOGICAL SKILLS"},"content":{"rendered":"<p><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-1 fusion-flex-container nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-background-position:left top;--awb-border-sizes-top:0px;--awb-border-sizes-bottom:0px;--awb-border-sizes-left:0px;--awb-border-sizes-right:0px;--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-padding-top:70px;--awb-padding-bottom:0px;--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"max-width:calc( 1280px + 0px );margin-left: calc(-0px \/ 2 );margin-right: calc(-0px \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-0 fusion_builder_column_1_1 1_1 fusion-flex-column fusion-flex-align-self-flex-start fusion-column-no-min-height\" style=\"--awb-bg-blend:overlay;--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:2%;--awb-spacing-right-large:0px;--awb-margin-bottom-large:0px;--awb-spacing-left-large:0px;--awb-width-medium:100%;--awb-spacing-right-medium:0px;--awb-spacing-left-medium:0px;--awb-width-small:100%;--awb-spacing-right-small:0px;--awb-spacing-left-small:0px;\"><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-tabs fusion-tabs-1 clean vertical-tabs icon-position-left mobile-mode-accordion\" style=\"--awb-title-border-radius-top-left:0px;--awb-title-border-radius-top-right:0px;--awb-title-border-radius-bottom-right:0px;--awb-title-border-radius-bottom-left:0px;--awb-alignment:center;--awb-inactive-color:var(--awb-color2);--awb-background-color:var(--awb-color1);--awb-border-color:var(--awb-color3);--awb-active-border-color:var(--awb-color4);\"><div class=\"nav\"><ul class=\"nav-tabs\" role=\"tablist\"><li class=\"active\" role=\"presentation\"><a class=\"tab-link\" data-toggle=\"tab\" role=\"tab\" aria-controls=\"tab-108f8817d033fbddc0a\" aria-selected=\"true\" id=\"fusion-tab-overview\" href=\"#tab-108f8817d033fbddc0a\"><h4 class=\"fusion-tab-heading\"><i class=\"fontawesome-icon university-spinner\" aria-hidden=\"true\" style=\"font-size:13px;\"><\/i>OVERVIEW<\/h4><\/a><\/li><li role=\"presentation\"><a class=\"tab-link\" data-toggle=\"tab\" role=\"tab\" aria-controls=\"tab-da79ba9515fb4f151ba\" aria-selected=\"false\" tabindex=\"-1\" id=\"fusion-tab-subjectscovered\" href=\"#tab-da79ba9515fb4f151ba\"><h4 class=\"fusion-tab-heading\"><i class=\"fontawesome-icon university-book\" aria-hidden=\"true\" style=\"font-size:13px;\"><\/i>SUBJECTS COVERED<\/h4><\/a><\/li><\/ul><\/div><div class=\"tab-content\"><div class=\"nav fusion-mobile-tab-nav\"><ul class=\"nav-tabs\" role=\"tablist\"><li class=\"active\" role=\"presentation\"><a class=\"tab-link\" data-toggle=\"tab\" role=\"tab\" aria-controls=\"tab-108f8817d033fbddc0a\" aria-selected=\"true\" id=\"mobile-fusion-tab-overview\" href=\"#tab-108f8817d033fbddc0a\"><h4 class=\"fusion-tab-heading\"><i class=\"fontawesome-icon university-spinner\" aria-hidden=\"true\" style=\"font-size:13px;\"><\/i>OVERVIEW<\/h4><\/a><\/li><\/ul><\/div><div class=\"tab-pane fade fusion-clearfix in active\" role=\"tabpanel\" tabindex=\"0\" aria-labelledby=\"fusion-tab-overview\" id=\"tab-108f8817d033fbddc0a\">\n<p><span data-path-to-node=\"5,0\"><span data-path-to-node=\"5,0\" data-index-in-node=\"28\">T<\/span><b data-path-to-node=\"5,0\" data-index-in-node=\"28\">ransversal and methodological courses<\/b> are designed to provide the shared scientific &#8220;backbone&#8221; of the PhD Programme in Industrial Engineering. While the five curricula focus on vertical technologies, these courses offer the essential mathematical, statistical, and managerial tools applicable across all engineering disciplines. <\/span><span data-path-to-node=\"5,2\"><span class=\"citation-445 interactive-span-hovered\">The goal is to equip researchers with the rigorous methodological foundation needed to model complex systems, analyze experimental data, and transform scientific results into innovation, in line with the program&#8217;s objectives of fostering entrepreneurship and interdisciplinary research<\/span><\/span><span data-path-to-node=\"5,4\">.<\/span><\/p>\n<\/div><div class=\"nav fusion-mobile-tab-nav\"><ul class=\"nav-tabs\" role=\"tablist\"><li role=\"presentation\"><a class=\"tab-link\" data-toggle=\"tab\" role=\"tab\" aria-controls=\"tab-da79ba9515fb4f151ba\" aria-selected=\"false\" tabindex=\"-1\" id=\"mobile-fusion-tab-subjectscovered\" href=\"#tab-da79ba9515fb4f151ba\"><h4 class=\"fusion-tab-heading\"><i class=\"fontawesome-icon university-book\" aria-hidden=\"true\" style=\"font-size:13px;\"><\/i>SUBJECTS COVERED<\/h4><\/a><\/li><\/ul><\/div><div class=\"tab-pane fade fusion-clearfix\" role=\"tabpanel\" tabindex=\"0\" aria-labelledby=\"fusion-tab-subjectscovered\" id=\"tab-da79ba9515fb4f151ba\">\n<p data-path-to-node=\"10\">The didactic offer covers two main pillars: <b data-path-to-node=\"10\" data-index-in-node=\"44\">Quantitative Methods<\/b> and <b data-path-to-node=\"10\" data-index-in-node=\"69\">Innovation Management<\/b>.<\/p>\n<ul>\n<li data-path-to-node=\"11,0,0\"><b data-path-to-node=\"11,0,0\" data-index-in-node=\"0\">Statistical Analysis:<\/b> <i data-path-to-node=\"11,0,0\" data-index-in-node=\"22\">Statistics for Engineers<\/i>. Focuses on the rigorous treatment of experimental data, hypothesis testing, and uncertainty quantification, essential for validating scientific research.<\/li>\n<li data-path-to-node=\"11,1,0\"><b data-path-to-node=\"11,1,0\" data-index-in-node=\"0\">Advanced Optimization:<\/b> <i data-path-to-node=\"11,1,0\" data-index-in-node=\"23\">Stochastic and Gradient Methods for Single- and Multi-Objective Optimization<\/i>. Provides advanced algorithms to solve complex design problems, minimizing costs or maximizing efficiency under conflicting constraints.<\/li>\n<li data-path-to-node=\"11,2,0\"><b data-path-to-node=\"11,2,0\" data-index-in-node=\"0\">Computational Efficiency:<\/b> <i data-path-to-node=\"11,2,0\" data-index-in-node=\"26\">Introduction to Model Order Reduction<\/i>. Techniques to reduce the complexity of mathematical models, enabling faster simulations without compromising accuracy\u2014crucial for digital twins and real-time control.<\/li>\n<li id=\"p-rc_5b04181e6b0026d1-244\" data-path-to-node=\"11,3,0\"><span data-path-to-node=\"11,3,0,0\"><b data-path-to-node=\"11,3,0,0\" data-index-in-node=\"0\">Entrepreneurship:<\/b> <i data-path-to-node=\"11,3,0,0\" data-index-in-node=\"18\">Introduction to Open Innovation, Lean Startup, and Design Thinking<\/i>. <\/span><span data-path-to-node=\"11,3,0,2\"><span class=\"citation-443\">A strategic module aimed at developing an entrepreneurial mindset, teaching how to validate business ideas and manage the transition from lab research to market<\/span><\/span><span data-path-to-node=\"11,3,0,4\">.<\/span><\/li>\n<\/ul>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-2 fusion-flex-container hundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-background-color:var(--awb-color2);--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-flex-start fusion-flex-content-wrap\" style=\"width:calc( 100% + 0px ) !important;max-width:calc( 100% + 0px ) !important;margin-left: calc(-0px \/ 2 );margin-right: calc(-0px \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-1 fusion_builder_column_1_1 1_1 fusion-flex-column fusion-flex-align-self-flex-start fusion-column-no-min-height\" style=\"--awb-bg-blend:overlay;--awb-bg-size:cover;--awb-width-large:100%;--awb-margin-top-large:0px;--awb-spacing-right-large:0px;--awb-margin-bottom-large:20px;--awb-spacing-left-large:0px;--awb-width-medium:100%;--awb-spacing-right-medium:0px;--awb-spacing-left-medium:0px;--awb-width-small:100%;--awb-spacing-right-small:0px;--awb-spacing-left-small:0px;\"><div class=\"fusion-column-wrapper fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-section-separator section-separator bigtriangle fusion-section-separator-1\" style=\"--awb-spacer-height:99px;--awb-svg-margin-left:0px;--awb-svg-margin-right:0px;--awb-svg-margin-left-medium:0px;--awb-svg-margin-right-medium:0px;--awb-svg-margin-left-small:0px;--awb-svg-margin-right-small:0px;--awb-divider-height:99px;--awb-spacer-padding-top:inherit;--awb-sep-padding:0;--awb-svg-padding:0;\"><div class=\"fusion-section-separator-svg\"><svg class=\"fusion-big-triangle-candy\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" version=\"1.1\" width=\"100%\" height=\"100\" viewBox=\"0 0 100 100\" preserveAspectRatio=\"none\" fill=\"rgba(255,255,255,1)\"><path d=\"M-1 -1 L50 99 L101 -1 Z\"><\/path><\/svg><\/div><div class=\"fusion-section-separator-spacer\"><div class=\"fusion-section-separator-spacer-height\"><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"fusion-fullwidth fullwidth-box fusion-builder-row-3 fusion-flex-container has-pattern-background has-mask-background nonhundred-percent-fullwidth non-hundred-percent-height-scrolling\" style=\"--awb-border-radius-top-left:0px;--awb-border-radius-top-right:0px;--awb-border-radius-bottom-right:0px;--awb-border-radius-bottom-left:0px;--awb-background-color:var(--awb-color2);--awb-flex-wrap:wrap;\" ><div class=\"fusion-builder-row fusion-row fusion-flex-align-items-center fusion-flex-content-wrap\" style=\"max-width:1331.2px;margin-left: calc(-4% \/ 2 );margin-right: calc(-4% \/ 2 );\"><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-2 fusion_builder_column_1_2 1_2 fusion-flex-column\" style=\"--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:10px;--awb-spacing-right-large:3.84%;--awb-margin-bottom-large:10px;--awb-spacing-left-large:3.84%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-flex-start fusion-content-layout-column\"><div class=\"fusion-title title fusion-title-1 fusion-sep-none fusion-title-text fusion-title-size-two\"><h2 class=\"fusion-title-heading title-heading-left fusion-responsive-typography-calculated\" style=\"margin:0;text-transform:capitalize;--fontSize:34;line-height:var(--awb-typography1-line-height);\">Courses<\/h2><\/div><ul style=\"--awb-line-height:23.8px;--awb-icon-width:23.8px;--awb-icon-height:23.8px;--awb-icon-margin:9.8px;--awb-content-margin:33.6px;\" class=\"fusion-checklist fusion-checklist-1 fusion-checklist-default type-icons\"><li class=\"fusion-li-item\" style=\"\"><span class=\"icon-wrapper circle-no\"><i class=\"fusion-li-icon awb-icon-check\" aria-hidden=\"true\"><\/i><\/span><div class=\"fusion-li-item-content\">\n<p>Introduction to Model Order Reduction<\/p>\n<\/div><\/li><li class=\"fusion-li-item\" style=\"\"><span class=\"icon-wrapper circle-no\"><i class=\"fusion-li-icon awb-icon-check\" aria-hidden=\"true\"><\/i><\/span><div class=\"fusion-li-item-content\">\n<p>Statistics for Engineers<\/p>\n<\/div><\/li><li class=\"fusion-li-item\" style=\"\"><span class=\"icon-wrapper circle-no\"><i class=\"fusion-li-icon awb-icon-check\" aria-hidden=\"true\"><\/i><\/span><div class=\"fusion-li-item-content\">\n<p>Stochastic and Gradient Methods for Single- and Multi-Objective Optimization<\/p>\n<\/div><\/li><li class=\"fusion-li-item\" style=\"\"><span class=\"icon-wrapper circle-no\"><i class=\"fusion-li-icon awb-icon-check\" aria-hidden=\"true\"><\/i><\/span><div class=\"fusion-li-item-content\">\n<p>Introduction to Open Innovation, lean start up and design thinking<\/p>\n<\/div><\/li><\/ul><div class=\"fusion-text fusion-text-1\"><p>To explore the <b>complete list of courses<\/b> offered by the Curriculum please consult the dedicated page.<\/p>\n<\/div><\/div><\/div><div class=\"fusion-layout-column fusion_builder_column fusion-builder-column-3 fusion_builder_column_1_2 1_2 fusion-flex-column fusion-flex-align-self-center\" style=\"--awb-bg-size:cover;--awb-width-large:50%;--awb-margin-top-large:10px;--awb-spacing-right-large:3.84%;--awb-margin-bottom-large:10px;--awb-spacing-left-large:3.84%;--awb-width-medium:100%;--awb-order-medium:0;--awb-spacing-right-medium:1.92%;--awb-spacing-left-medium:1.92%;--awb-width-small:100%;--awb-order-small:0;--awb-spacing-right-small:1.92%;--awb-spacing-left-small:1.92%;\"><div class=\"fusion-column-wrapper fusion-column-has-shadow fusion-flex-justify-content-center fusion-content-layout-column\"><a class=\"fb-icon-element-1 fb-icon-element fontawesome-icon fa-arrow-right fas circle-yes fusion-text-flow fusion-link\" style=\"--awb-circlecolor-hover:var(--awb-color4);--awb-circlebordercolor-hover:var(--awb-color4);--awb-circlebordersize:1px;--awb-font-size:88px;--awb-width:176px;--awb-height:176px;--awb-line-height:174px;--awb-margin-right:50px;\" href=\"https:\/\/www.unipd.it\/dottoratoscheda\/industrial-engineering\" aria-label=\"Link to https:\/\/www.unipd.it\/dottoratoscheda\/industrial-engineering\" target=\"_self\"><\/a><\/div><\/div><\/div><\/div><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Our modern institution is interested in cultivating an environment where young students can come together and learn in a creative and flexible environment. 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