{"id":43,"date":"2018-05-10T15:43:05","date_gmt":"2018-05-10T18:43:05","guid":{"rendered":"https:\/\/www.ufrgs.br\/ppgmat\/?page_id=43"},"modified":"2025-03-28T12:30:39","modified_gmt":"2025-03-28T15:30:39","slug":"doutorado","status":"publish","type":"page","link":"https:\/\/www.ufrgs.br\/ppgmat\/en\/doutorado\/","title":{"rendered":"PhD"},"content":{"rendered":"<p>The Doctorate program in Mathematics at UFRGS is offered in the following areas:<\/p>\n<ul>\n<li>Algebra<\/li>\n<li>Analysis<\/li>\n<li>Partial Differential Equations<\/li>\n<li>Differential Geometry<\/li>\n<li>Dynamical Systems<\/li>\n<li>Probability<\/li>\n<li>Mathematical Statistics<\/li>\n<\/ul>\n<p><strong>On the Title of Doctor:<\/strong><\/p>\n<p>The candidate who meets the following requirements will be entitled to the title of Doctor in Mathematics:<\/p>\n<ol>\n<li>Attain 48 credits.<\/li>\n<li>Pass the Doctoral Qualifying Exam.<\/li>\n<li>Pass two foreign language proficiency exams.<\/li>\n<li>Have a doctoral thesis (an original research paper in Mathematics) approved by an examining committee.<\/li>\n<\/ol>\n<p>The estimated time to complete the Doctorate is four years; the maximum time allowed (by the course regulations) to complete the Doctorate is ten academic semesters.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Doctorate program in Mathematics at UFRGS is offered in the following areas: Algebra Analysis Partial Differential Equations Differential Geometry Dynamical Systems Probability Mathematical Statistics On the Title of Doctor: The candidate who meets the following requirements will be entitled to the title of Doctor in Mathematics: Attain 48 credits. Pass the Doctoral Qualifying Exam. <a href=\"https:\/\/www.ufrgs.br\/ppgmat\/en\/doutorado\/\" rel=\"nofollow\"><span class=\"sr-only\">Read more about PhD<\/span>[&hellip;]<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"_links":{"self":[{"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/pages\/43"}],"collection":[{"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/comments?post=43"}],"version-history":[{"count":19,"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/pages\/43\/revisions"}],"predecessor-version":[{"id":2885,"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/pages\/43\/revisions\/2885"}],"wp:attachment":[{"href":"https:\/\/www.ufrgs.br\/ppgmat\/en\/wp-json\/wp\/v2\/media?parent=43"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}