{"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":"2025-10-24T15:09:50","modified_gmt":"2025-10-24T15:09:50","slug":"applied-mathematics-for-economics-and-management","status":"publish","type":"course","link":"https:\/\/www-qua.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 degree prepares students to carry out research work worthy of publication in scientific journals with a peer-review system. It aims to develop the skills needed to devise and implement new mathematical methods that could be used to tackle problems in the areas of economics and management.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>The teaching and research team of the PhD covers a wide range of areas, including, Actuarial Sciences, Dynamical Systems, Financial Econometrics, Macro-and Micro-econometrics, Mathematical Analysis, Mathematical Finance, Operational Research, Statistics, and Time Series .<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>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 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<h2 class=\"wp-block-heading\"><strong>Get to Know the Program!<\/strong><\/h2>\n\n\n\n<p class=\"has-large-font-size\">Curious about the program? Join the <strong>Applied Mathematics for Economics and Management<\/strong> webinar on <strong>11th November, 5 p.m.<\/strong> to learn more and meet the coordination team. <strong><a href=\"https:\/\/www-qua.iseg.ulisboa.pt\/en\/event\/phds-open-days\/\">Register now<\/a>!<\/strong><\/p>\n\n\n\n<p><\/p>\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-qua.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-qua.iseg.ulisboa.pt\/wp-content\/uploads\/Pag13_CarlosMartins-1.png\" class=\"course-testimonials__author-photo\" alt=\"\" srcset=\"https:\/\/www-qua.iseg.ulisboa.pt\/wp-content\/uploads\/Pag13_CarlosMartins-1.png 143w, https:\/\/www-qua.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-qua.iseg.ulisboa.pt\/en\/aquila\/publico\/aquilaPhdCandidacy.do\/?method=showWarning&#038;contentContextPath_PATH=\/instituicao\/ISEG\/topo\/doutoramentos&#038;locale=en\">Applications<\/a>\n                <\/div>\n                            <div class=\"additional-info__item\">\n                    <a href=\"https:\/\/www-qua.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-qua.iseg.ulisboa.pt\/en\/secretaria\/informacoes-academicas\/doutoramentos\/\">Useful Information<\/a>\n                <\/div>\n                            <div class=\"additional-info__item\">\n                    <a href=\"https:\/\/www-qua.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-qua.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-qua.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 enhance their knowledge of mathematical methods and techniques in order to make original contributions in a particular field or to develop and implement solutions for problems in the areas of economics and management.<\/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 PhD program is intended for those who wish to pursue an academic career as well as those who wish to develop the skills required of a professional in order to devise and implement innovative quantitative approaches to real-world problems.<\/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>The <strong>PhD program takes three years to complete<\/strong>. The first year is devoted to coursework and includes the preparation, presentation, and viva voce defense of the thesis research project by the student before an examination panel. The next two years are dedicated to research, leading to the design, writing, and defense of an original dissertation in an area of Applied Mathematics for Economics and Management.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<p><\/p>\n\n\n\n<p>Please note that if any non-Portuguese speakers are enrolled in the Program, then lectures will be taught in English.<\/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 of Econometrics*<\/td><td>Pierre Hoonhout<\/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 Castro 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<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>Nuno Sobreira<\/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><\/tr><\/thead><tbody><tr><td class=\"has-text-align-left\" data-align=\"left\">Actuarial Data Science<\/td><td class=\"has-text-align-left\" data-align=\"left\">Jo\u00e3o ARF Bastos<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Advanced Econometrics<\/td><td class=\"has-text-align-left\" data-align=\"left\">Paulo Parente<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Advanced Microeconomics<\/td><td class=\"has-text-align-left\" data-align=\"left\">Joana Vaz Pais<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Advanced Risk Theory<\/td><td class=\"has-text-align-left\" data-align=\"left\">Alfredo Egidio Dos Reis<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Computational Economics<\/td><td class=\"has-text-align-left\" data-align=\"left\">Tanya Araujo<\/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><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Financial Econometrics<\/td><td class=\"has-text-align-left\" data-align=\"left\">Jo\u00e3o Nicolau<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Financial Markets and Investments<\/td><td class=\"has-text-align-left\" data-align=\"left\">Raquel Gaspar<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Interest Rate and Credit Risk Models<\/td><td class=\"has-text-align-left\" data-align=\"left\">Raquel Gaspar<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Mathematical Economics<\/td><td class=\"has-text-align-left\" data-align=\"left\">Jose Pedro R Gaivao<\/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><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Macroeconometrics 2<\/td><td class=\"has-text-align-left\" data-align=\"left\">Gabriel Florin Zurkis<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Mathematical Methods for Finance<\/td><td class=\"has-text-align-left\" data-align=\"left\">Jo\u00e3o Guerra<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Panel Data<\/td><td class=\"has-text-align-left\" data-align=\"left\">Isabel Proen\u00e7a<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Pension Funds<\/td><td class=\"has-text-align-left\" data-align=\"left\">Maria Pires Lima<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Probability Theory and Stochastic Processes<\/td><td class=\"has-text-align-left\" data-align=\"left\">Telmo Jorge Peixe<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Risk Theory<\/td><td class=\"has-text-align-left\" data-align=\"left\">Alfredo Egidio dos Reis<\/td><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Ratemaking and Experience Rating<\/td><td class=\"has-text-align-left\" data-align=\"left\">Alfredo Egidio dos Reis<\/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><\/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 Guerra<\/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><\/tr><tr><td class=\"has-text-align-left\" data-align=\"left\">Time Series<\/td><td class=\"has-text-align-left\" data-align=\"left\">Nuno Sobreira<\/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\">Jorge Caiado<\/td><\/tr><\/tbody><\/table><\/figure>\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<\/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 2025\/26, 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>2nd - 3rd Year<\/strong><\/td><td class=\"has-text-align-right\" data-align=\"right\"><strong>4th - folowing years<\/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><td class=\"has-text-align-right\" data-align=\"right\">\u20ac 1,000<\/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><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-qua.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-qua.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/\",\"url\":\"https:\/\/www-qua.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/\",\"name\":\"Applied Mathematics for Economics and Management - ISEG\",\"isPartOf\":{\"@id\":\"https:\/\/www-qua.iseg.ulisboa.pt\/en\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/www-qua.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/www-qua.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/www-qua.iseg.ulisboa.pt\/wp-content\/uploads\/2021\/01\/4-1.jpg\",\"datePublished\":\"2021-01-12T15:15:24+00:00\",\"dateModified\":\"2025-10-24T15:09:50+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www-qua.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www-qua.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/www-qua.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/#primaryimage\",\"url\":\"https:\/\/www-qua.iseg.ulisboa.pt\/wp-content\/uploads\/2021\/01\/4-1.jpg\",\"contentUrl\":\"https:\/\/www-qua.iseg.ulisboa.pt\/wp-content\/uploads\/2021\/01\/4-1.jpg\",\"width\":1600,\"height\":800},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www-qua.iseg.ulisboa.pt\/en\/study\/phd\/applied-mathematics-for-economics-and-management\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www-qua.iseg.ulisboa.pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Applied Mathematics for Economics and Management\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www-qua.iseg.ulisboa.pt\/en\/#website\",\"url\":\"https:\/\/www-qua.iseg.ulisboa.pt\/en\/\",\"name\":\"ISEG\",\"description\":\"Lisbon School of Economics &amp; 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