{"id":710,"date":"2021-01-12T15:15:24","date_gmt":"2021-01-12T15:15:24","guid":{"rendered":"https:\/\/iseg.gomo.dev\/?post_type=course&#038;p=710"},"modified":"2026-03-12T16:51:16","modified_gmt":"2026-03-12T16:51:16","slug":"applied-mathematics-for-economics-and-management","status":"publish","type":"course","link":"https:\/\/www.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/","title":{"rendered":"Applied Mathematics for Economics and Management"},"content":{"rendered":"<div class=\"wp-block-uagb-tabs uagb-block-2f3a3a0f uagb-tabs__wrap uagb-tabs__hstyle1-desktop uagb-tabs__vstyle6-tablet uagb-tabs__vstyle6-mobile\" data-tab-active=\"0\"><ul class=\"uagb-tabs__panel uagb-tabs__align-left\" role=\"tablist\"><li class=\"uagb-tab uagb-tabs__active\" role=\"none\"><a href=\"#uagb-tabs__tab0\" class=\"uagb-tabs-list uagb-tabs__icon-position-left\" data-tab=\"0\" role=\"tab\"><div>Overview<\/div><\/a><\/li><li class=\"uagb-tab\" role=\"none\"><a href=\"#uagb-tabs__tab1\" class=\"uagb-tabs-list uagb-tabs__icon-position-left\" data-tab=\"1\" role=\"tab\"><div>Details of the degree<\/div><\/a><\/li><li class=\"uagb-tab\" role=\"none\"><a href=\"#uagb-tabs__tab2\" class=\"uagb-tabs-list uagb-tabs__icon-position-left\" data-tab=\"2\" role=\"tab\"><div>Admissions &amp; Fees<\/div><\/a><\/li><\/ul><div class=\"uagb-tabs__body-wrap\">\n<div class=\"wp-block-uagb-tabs-child uagb-tabs__body-container uagb-inner-tab-0\" aria-labelledby=\"uagb-tabs__tab0\">\n<p class=\"has-huge-font-size\">This PhD prepares students to carry out research worthy of publication in scientific journals with a strong peer-review system. It aims to develop the skills to devise and implement new mathematical tools and models with applications in the fields of Economics, Management, and Finance.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>The teaching and research team of the Programme covers a wide range of fields, including, Actuarial Science, Dynamical Systems, Econometrics, Mathematical Analysis, Mathematical Finance, Operations Research, Probability and Stochastic Processes, and Statistics and Time Series. On completion of the degree, the graduates are expected to:<\/p>\n\n\n\n<ul>\n<li>to be able to carry out research work worthy of publication in scientific journals with a strong peer-review system;<\/li>\n\n\n\n<li>to be able to present the output of their research work in academic and professional environments.<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-embed is-provider-youtube wp-block-embed-youtube\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"PhD in Applied Mathematics for Economics and Management (ISEG)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/GvHxOjjK8Do?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><\/figure>\n\n\n\n<p><\/p>\n\n\n<div class=\"block-skills has-iseg-yellow-background\">\n    <h2 class=\"block-skills__heading\">Funding Opportunities<\/h2>\n    \n            <div class=\"block-skills__grid\">\n                            <div class=\"block-skills__item\">\n                        \n                    <h3 class=\"block-skills__item-heading\">PhD Scholarships<\/h3>\n                    <p class=\"block-skills__item-text\">Applicants for the School&#039;s PhDs can apply for a variety of scholarships, namely FCT scholarships (granted by FCT or by ISEG research centres) and, in some cases, ULisboa scholarships. The criteria, rules and regulations for applying for scholarships are detailed on our website.<\/p>\n                <\/div>\n                            <div class=\"block-skills__item\">\n                        \n                    <h3 class=\"block-skills__item-heading\">FCT Scholarships<\/h3>\n                    <p class=\"block-skills__item-text\">The FCT awards scholarships to doctoral students, allowing them to devote themselves to research in all areas of knowledge. More information at www.fct.pt.<\/p>\n                <\/div>\n                            <div class=\"block-skills__item\">\n                        \n                    <h3 class=\"block-skills__item-heading\">ISEG Research<\/h3>\n                    <p class=\"block-skills__item-text\">In some cases, PhD students can be enrolled in projects hosted by the research centers or supported by them. For further information, contact the PhD coordinator.<\/p>\n                <\/div>\n                    <\/div>\n    \n<\/div>\n\n\n<h2 class=\"wp-block-heading\">If you want to know more about this PhD program, let us help you:<\/h2>\n\n\n\n<div id=\"formconnector_target\"><\/div>\n            \n<script type=\"text\/javascript\">\n    window.FormConnector_settings = {\n        uuid: '0ccb5660322a11efb68f93a2de400e96',\n    };\n<\/script>\n\n<script type=\"text\/javascript\"\n        src=\"https:\/\/formconnector.com\/form\/formconnector.js\">\n<\/script>\n\n\n<div class=\"block-course-testimonials\">\n    <div class=\"container\">\n        <div data-delay=\"4000\" data-animation=\"slide\" class=\"course-testimonials__slider w-slider\" data-autoplay=\"false\" data-easing=\"ease\" data-hide-arrows=\"false\" data-disable-swipe=\"false\" data-autoplay-limit=\"0\" data-nav-spacing=\"3\" data-duration=\"500\" data-infinite=\"true\">\n            <div class=\"course-testimonials__mask w-slider-mask\">\n                                <div class=\"course-testimonials__slide w-slide\">\n                    <div class=\"course-testimonials__slide-content\"><img decoding=\"async\" src=\"https:\/\/www.iseg.ulisboa.pt\/wp-content\/themes\/iseg\/assets\/images\/icon-quote.svg\" loading=\"lazy\" alt=\"\" class=\"course-testimonials__quote-icon\">\n                        <div><strong>I believe Quantitative methods, and in particular Operational Research, can provide extremely valuable management decision systems for any organization. <\/strong> Pursuing a new direction in my professional career I decided to return to ISEG and enrol in the MAEG PhD program looking to enrich and develop my skills in that scientific field. My objective was fully met. From the excellence lecturing faculty, supervisors, teaching and research resources through the material and administrative supporting conditions, the MAEG PhD ISEG program delivered everything I was expecting. I strongly recommend it to anyone interested.<\/div>\n                        <div class=\"course-testimonials__author\">\n                            <div>Carlos Martins<\/div><img decoding=\"async\" src=\"https:\/\/www.iseg.ulisboa.pt\/wp-content\/uploads\/Pag13_CarlosMartins-1.png\" class=\"course-testimonials__author-photo\" alt=\"\" srcset=\"https:\/\/www.iseg.ulisboa.pt\/wp-content\/uploads\/Pag13_CarlosMartins-1.png 143w, https:\/\/www.iseg.ulisboa.pt\/wp-content\/uploads\/Pag13_CarlosMartins-1-12x12.png 12w\" sizes=\"(max-width: 143px) 100vw, 143px\" \/>                        <\/div>\n                    <\/div>\n                <\/div>\n                            <\/div>\n                    <\/div>\n    <\/div>\n<\/div>\n\n\n<div class=\"block-additional-info\">\n    <div class=\"container\">\n        <h4>Additional Info<\/h4>\n        \n        <div class=\"additional-info__grid\">\n                            <div class=\"additional-info__item\">\n                    <a href=\"https:\/\/www.iseg.ulisboa.pt\/en\/aquila\/publico\/aquilaPhdCandidacy.do\/?method=showWarning&amp;contentContextPath_PATH=\/instituicao\/ISEG\/topo\/doutoramentos&amp;locale=en\">Applications<\/a>\n                <\/div>\n                            <div class=\"additional-info__item\">\n                    <a href=\"https:\/\/www.iseg.ulisboa.pt\/en\/secretaria\/candidaturas\/candidaturas-a-doutoramento\/\">Application Information<\/a>\n                <\/div>\n                            <div class=\"additional-info__item\">\n                    <a href=\"https:\/\/www.iseg.ulisboa.pt\/en\/secretaria\/informacoes-academicas\/doctorates\/\">Useful Information<\/a>\n                <\/div>\n                            <div class=\"additional-info__item\">\n                    <a href=\"https:\/\/www.iseg.ulisboa.pt\/en\/aquila\/unidade\/SPG\/?locale=en\">postgraduate office<\/a>\n                <\/div>\n                            <div class=\"additional-info__item\">\n                    <a href=\"https:\/\/www.iseg.ulisboa.pt\/en\/secretaria\/legislacao-e-documentos\/#uagb-tabs__tab2\">Regulations<\/a>\n                <\/div>\n                            <div class=\"additional-info__item\">\n                    <a href=\"https:\/\/www.iseg.ulisboa.pt\/en\/dissertations\/\">PhD Graduates<\/a>\n                <\/div>\n                    <\/div>\n\n            <\/div>\n<\/div><\/div>\n\n\n\n<div class=\"wp-block-uagb-tabs-child uagb-tabs__body-container uagb-inner-tab-1\" aria-labelledby=\"uagb-tabs__tab1\">\n<h3 class=\"wp-block-heading\">Details of the degree<\/h3>\n\n\n\n<p class=\"has-large-font-size\">The PhD Program in MAEG (Applied Mathematics for Economics and Management) is designed to meet the needs of those who wish to acquire advanced knowledge in branches of Mathematics with applications to Economics or Management, or wish to develop the skills necessary for the design and implementation of mathematical methods and techniques to solve problems in Economics, Management, or Finance.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\" id=\"block-3a8cf98e-acfb-4e4c-adb4-52aa67d98e51\"><strong>Employment<\/strong><\/h4>\n\n\n\n<p id=\"block-cd098ce0-3f6d-425c-8d9a-c06dd9ec3945\">This Program is designed for students who wish to follow an academic or research career, as well as students wishing to pursue a specialist career in industry or regulators, namely in the sectors of Banking, Finance, Insurance, or any other economic activity requiring the use of advanced mathematical models and methods.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Program Structure<\/strong><\/h4>\n\n\n\n<p>This PhD takes a minimum of <strong>three years to complete<\/strong>. The first year consists of coursework, seminars, and preparation, presentation, and viva voce defense of a thesis research project. The remaining time of the Programme is dedicated to research, which culminates in the elaboration and defence of an original research thesis. <\/p>\n\n\n\n<p>The Programme's teaching and working language is English.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\">Study Plans<\/h4>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-table block-table-studyplan has-iseg-pink-thead\"><table><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">Year 1 \u2013 Semester 1<\/th><th>Professor<\/th><th class=\"has-text-align-center\" data-align=\"center\">Credits<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Advanced Topics in Econometrics*<\/td><td>Paulo Parente<\/td><td class=\"has-text-align-center\" data-align=\"center\">10.0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Advanced Topics of Statistics*<\/td><td>Rui Paulo<\/td><td class=\"has-text-align-center\" data-align=\"center\">10.0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Analysis and Optimization*<\/td><td>Manuel Guerra<\/td><td class=\"has-text-align-center\" data-align=\"center\">10.0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Computational Mathematics*<\/td><td>Jo\u00e3o Janela<\/td><td class=\"has-text-align-center\" data-align=\"center\">10.0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">elective<\/td><td>&#8211; <\/td><td class=\"has-text-align-center\" data-align=\"center\">6.0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Seminar I<\/td><td>Nuno Brites<\/td><td class=\"has-text-align-center\" data-align=\"center\">4.0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><em>*The Scientific Committee of the PhD chooses two out of these four course units for each student<\/em><\/p>\n\n\n\n<figure class=\"wp-block-table block-table-studyplan has-iseg-blue-thead\"><table><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">Year 1 \u2013 Semester 2<\/th><th>Professor<\/th><th class=\"has-text-align-center\" data-align=\"center\">Credits<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">elective<\/td><td>&#8211; <\/td><td class=\"has-text-align-center\" data-align=\"center\">6.0<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Preparation of the Thesis Project<\/td><td>Jo\u00e3o Nicolau<\/td><td class=\"has-text-align-center\" data-align=\"center\">24.0<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table block-table-studyplan has-iseg-red-thead\"><table><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">Year 2<\/th><th class=\"has-text-align-center\" data-align=\"center\">Credits<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Thesis (Research Seminar)<\/td><td class=\"has-text-align-center\" data-align=\"center\">60<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table block-table-studyplan has-iseg-yellow-thead\"><table><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">Year 3<\/th><th class=\"has-text-align-center\" data-align=\"center\">Credits<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Thesis (Research Seminar)<\/td><td class=\"has-text-align-center\" data-align=\"center\">60<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<figure class=\"wp-block-table block-table-studyplan has-iseg-dark-grey-thead\"><table><thead><tr><th class=\"has-text-align-left\" data-align=\"left\">Electives*<\/th><th class=\"has-text-align-left\" data-align=\"left\">Professor<\/th><th>Credits<\/th><th>semester<\/th><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Econometric Methods for Finance<\/td><td class=\"has-text-align-left\" data-align=\"left\">Jo\u00e3o Nicolau<\/td><td>6<\/td><td>1 or 2<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Bayesian Econometrics<\/td><td class=\"has-text-align-left\" data-align=\"left\">Rui Paulo<\/td><td>6<\/td><td>1 or 2<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Stochastic Differential Equations and Applications<\/td><td class=\"has-text-align-left\" data-align=\"left\">Nuno Brites<\/td><td>6<\/td><td>1 or 2<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Integer Programming and Combinatorial Optimization<\/td><td class=\"has-text-align-left\" data-align=\"left\">Cristina Requejo<\/td><td>6<\/td><td>1 or 2<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Computational Tools for Actuaries<\/td><td class=\"has-text-align-left\" data-align=\"left\">Nuno Brites<\/td><td>4<\/td><td>1<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Decision Making and Optimization<\/td><td class=\"has-text-align-left\" data-align=\"left\">Cristina Requejo<\/td><td>6<\/td><td>1<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Mathematical Economics<\/td><td class=\"has-text-align-left\" data-align=\"left\">Alexandre Rodrigues<\/td><td>6<\/td><td>1<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Applied Macroeconometrics<\/td><td class=\"has-text-align-left\" data-align=\"left\">Paulo Marques Rodrigues<\/td><td>6<\/td><td>1<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Mathematical Methods in Finance<\/td><td class=\"has-text-align-left\" data-align=\"left\">Carlos Oliveira<\/td><td>6<\/td><td>1<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Pension Funds<\/td><td class=\"has-text-align-left\" data-align=\"left\">Daniela Pateiro Pires<\/td><td>6<\/td><td>1<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Probability and Stochastic Processes<\/td><td class=\"has-text-align-left\" data-align=\"left\">Alexandra Moura<\/td><td>6<\/td><td>1<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Stochastic Finance in Continuous Time<\/td><td class=\"has-text-align-left\" data-align=\"left\">Pieter Spreij<\/td><td>6<\/td><td>1<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Programming Techniques<\/td><td class=\"has-text-align-left\" data-align=\"left\">Ivo Tavares<\/td><td>6<\/td><td>1<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Stochastic Calculus<\/td><td class=\"has-text-align-left\" data-align=\"left\">Jo\u00e3o Janela<\/td><td>6<\/td><td>2<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">financial time series<\/td><td class=\"has-text-align-left\" data-align=\"left\">Nuno Sobreira<\/td><td>6<\/td><td>2<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Machine Learning and Data Mining<\/td><td class=\"has-text-align-left\" data-align=\"left\">Jo\u00e3o Bastos<\/td><td>6<\/td><td>2<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Computational Mathematics<\/td><td class=\"has-text-align-left\" data-align=\"left\">Jo\u00e3o Janela<\/td><td>6<\/td><td>2<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Programming for Data Science<\/td><td class=\"has-text-align-left\" data-align=\"left\">Carlos Costa<\/td><td>6<\/td><td>2<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Risk Theory<\/td><td class=\"has-text-align-left\" data-align=\"left\">Carlos Oliveira<\/td><td>8<\/td><td>2<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Survival Models and Life Contingencies<\/td><td class=\"has-text-align-left\" data-align=\"left\">Onofre Sim\u00f5es<\/td><td>8<\/td><td>2<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Time Series Analysis and Forecasting<\/td><td class=\"has-text-align-left\" data-align=\"left\">Nuno Sobreira<\/td><td>6<\/td><td>2<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>* Other electives may be selected according to the student's interests, conditional on availability and approval by the Scientific Committee.<\/p>\n\n\n\n<p>See the description of each Curricular Units&nbsp;<a href=\"https:\/\/fenix.iseg.ulisboa.pt\/degrees\/pdmaeg\/course-web-pages\">here<\/a>.<\/p>\n\n\n\n<p><\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-uagb-tabs-child uagb-tabs__body-container uagb-inner-tab-2\" aria-labelledby=\"uagb-tabs__tab2\">\n<h3 class=\"wp-block-heading\">Admissions &amp; Fees<\/h3>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong><strong><strong>Entry Conditions and Selection Criteria<\/strong><\/strong><\/strong><\/h4>\n\n\n\n<p>The entry requirements are a Master&#039;s or BSc degree (with a curriculum of four years or more) in Mathematics, Statistics, Economics, Finance, Management, Physics, or Engineering.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>The degree syllabus and the grade obtained must provide evidence that the applicant has a strong background in Mathematics. <\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>Applicants who have not yet completed their degree may be accepted conditionally if they expect to do so before the start of the programme. Applicants who do not hold any of the degrees listed above may also be eligible for admission, provided that the curriculum is deemed suitable for the programme.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-css-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>Tuition Fee<\/strong><\/h4>\n\n\n\n<p>These are provisional tuition fees for 2026\/27, subject to confirmation by the University of Lisbon statutory bodies.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Students from<\/strong><\/td><td class=\"has-text-align-right\" data-align=\"right\"><strong>1st Year<\/strong><\/td><td class=\"has-text-align-right\" data-align=\"right\"><strong><strong>Folowing years<\/strong><\/strong><\/td><\/tr><tr><td>Within the European Union<\/td><td class=\"has-text-align-right\" data-align=\"right\">\u20ac 3,000<\/td><td class=\"has-text-align-right\" data-align=\"right\">\u20ac 2,000<\/td><\/tr><tr><td>Outside the European Union&nbsp; &nbsp;<\/td><td class=\"has-text-align-right\" data-align=\"right\">\u20ac 4,000<\/td><td class=\"has-text-align-right\" data-align=\"right\">\u20ac 3,000<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><a href=\"https:\/\/aquila.iseg.ulisboa.pt\/aquila\/unidade\/spg\/doutoramentos\/regulamentos-e-despachos-?locale=en\" data-type=\"URL\" data-id=\"https:\/\/aquila.iseg.ulisboa.pt\/aquila\/unidade\/spg\/doutoramentos\/regulamentos-e-despachos-?locale=en\" target=\"_blank\" rel=\"noreferrer noopener\">View Tuition Fees<\/a><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n<\/div>\n<\/div><\/div>","protected":false},"featured_media":27422,"menu_order":2,"template":"","course_department":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.6 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Applied Mathematics for Economics and Management - ISEG<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/\",\"url\":\"https:\/\/www.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/\",\"name\":\"Applied Mathematics for Economics and Management - ISEG\",\"isPartOf\":{\"@id\":\"https:\/\/www.iseg.ulisboa.pt\/en\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www.iseg.ulisboa.pt\/wp-content\/uploads\/2021\/01\/4-1.jpg\",\"datePublished\":\"2021-01-12T15:15:24+00:00\",\"dateModified\":\"2026-03-12T16:51:16+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/#primaryimage\",\"url\":\"https:\/\/www.iseg.ulisboa.pt\/wp-content\/uploads\/2021\/01\/4-1.jpg\",\"contentUrl\":\"https:\/\/www.iseg.ulisboa.pt\/wp-content\/uploads\/2021\/01\/4-1.jpg\",\"width\":1600,\"height\":800},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.iseg.ulisboa.pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Applied Mathematics for Economics and Management\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.iseg.ulisboa.pt\/en\/#website\",\"url\":\"https:\/\/www.iseg.ulisboa.pt\/en\/\",\"name\":\"ISEG\",\"description\":\"Lisbon School of Economics &amp; 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