{"id":71,"date":"2017-04-12T12:18:45","date_gmt":"2017-04-12T11:18:45","guid":{"rendered":"https:\/\/mat.ub.edu\/matematicaavanzada\/?page_id=71"},"modified":"2024-02-26T11:59:13","modified_gmt":"2024-02-26T10:59:13","slug":"plan-de-estudios","status":"publish","type":"page","link":"https:\/\/mat.ub.edu\/masteradvancedmathematics\/pla-destudis\/plan-de-estudios\/","title":{"rendered":"Courses"},"content":{"rendered":"<h3 style=\"text-align: center\"><strong>Mandatory courses<\/strong><\/h3>\n<p style=\"text-align: center\">ADVANCED METHODOLOGY\u00a0IN MATHEMATICS (3 ECTS) (Annual)<\/p>\n<p style=\"text-align: center\">FOURIER TRANSFORM: FROM PHYSICS TO NUMBER THEORY (6 ECTS) (Fall semester)<\/p>\n<p style=\"text-align: center\">FINAL MASTER PROJECT (15 ECTS) (Annual)<\/p>\n<h3 style=\"text-align: center\"><strong>Optional courses. Fall semester <\/strong>(6 ECTS each)<\/h3>\n<p style=\"text-align: center\">ALGEBRAIC TOPOLOGY<\/p>\n<p style=\"text-align: center\">ALGEBRAIC VARIETIES<\/p>\n<p style=\"text-align: center\">COMMUTATIVE ALGEBRA<\/p>\n<p style=\"text-align: center\">COMPLEX ANALYSIS IN ONE AND SEVERAL VARIABLES<\/p>\n<p style=\"text-align: center\">DIFFERENTIAL GEOMETRY AND TOPOLOGY<\/p>\n<p style=\"text-align: center\">DISCRETE DYNAMICAL SYSTEMS<\/p>\n<p style=\"text-align: center\">FUNCTIONAL ANALYSIS AND CALCULUS OF VARIATIONS<\/p>\n<p style=\"text-align: center\">PARTIAL DIFFERENTIAL EQUATIONS<\/p>\n<p style=\"text-align: center\">PROBABILITY THEORY<\/p>\n<p style=\"text-align: center\">REPRESENTATION THEORY<\/p>\n<h3 style=\"text-align: center\"><strong>Optional courses. Spring semester <\/strong>(6 ECTS each)<\/h3>\n<p style=\"text-align: center\">ADVANCED NUMBER THEORY<\/p>\n<p style=\"text-align: center\">ADVANCED TOPICS IN ALGEBRAIC GEOMETRY<\/p>\n<p style=\"text-align: center\">HARMONIC ANALYSIS AND GEOMETRIC MEASURE THEORY<\/p>\n<p style=\"text-align: center\">QUALITATIVE THEORY OF ODE&#8217;S AND HAMILTONIAN SYSTEMS<\/p>\n<p style=\"text-align: center\">RIEMANNIAN GEOMETRY<\/p>\n<p style=\"text-align: center\">SIMULATION METHODS<\/p>\n<p style=\"text-align: center\">STATISTICS<\/p>\n<p style=\"text-align: center\">STOCHASTIC CALCULUS<\/p>\n<div class=\"flex flex-grow flex-col max-w-full\">\n<div class=\"min-h-[20px] text-message flex flex-col items-start gap-3 whitespace-pre-wrap break-words [.text-message+&amp;]:mt-5 overflow-x-auto\" data-message-author-role=\"assistant\" data-message-id=\"2bc50a19-9f47-49a1-9ae6-2b77960ef2af\">\n<div class=\"markdown prose w-full break-words dark:prose-invert light\">\n<p><em>Note:<\/em> Subject to prior approval from the Coordinating Commission, it is possible to enrol in up to 18 credits in other master&#8217;s programs.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<h3 style=\"text-align: center\"><\/h3>\n<p style=\"text-align: center\">\n<p style=\"text-align: center\">\n<p style=\"text-align: center\">\n<p style=\"text-align: center\">\n<p style=\"text-align: center\">\n<p style=\"text-align: center\">\n<p style=\"text-align: center\">\n<p style=\"text-align: center\">\n<p style=\"text-align: center\">\n","protected":false},"excerpt":{"rendered":"<p>Mandatory courses ADVANCED METHODOLOGY\u00a0IN MATHEMATICS (3 ECTS) (Annual) FOURIER TRANSFORM: FROM PHYSICS TO NUMBER THEORY (6 ECTS) (Fall semester) FINAL MASTER PROJECT (15 ECTS) (Annual) Optional courses. Fall semester (6 ECTS each) ALGEBRAIC TOPOLOGY ALGEBRAIC VARIETIES COMMUTATIVE ALGEBRA COMPLEX ANALYSIS IN ONE AND SEVERAL VARIABLES DIFFERENTIAL GEOMETRY AND TOPOLOGY DISCRETE DYNAMICAL SYSTEMS FUNCTIONAL ANALYSIS AND [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":69,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-71","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mat.ub.edu\/masteradvancedmathematics\/wp-json\/wp\/v2\/pages\/71","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.ub.edu\/masteradvancedmathematics\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mat.ub.edu\/masteradvancedmathematics\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mat.ub.edu\/masteradvancedmathematics\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.ub.edu\/masteradvancedmathematics\/wp-json\/wp\/v2\/comments?post=71"}],"version-history":[{"count":12,"href":"https:\/\/mat.ub.edu\/masteradvancedmathematics\/wp-json\/wp\/v2\/pages\/71\/revisions"}],"predecessor-version":[{"id":1285,"href":"https:\/\/mat.ub.edu\/masteradvancedmathematics\/wp-json\/wp\/v2\/pages\/71\/revisions\/1285"}],"up":[{"embeddable":true,"href":"https:\/\/mat.ub.edu\/masteradvancedmathematics\/wp-json\/wp\/v2\/pages\/69"}],"wp:attachment":[{"href":"https:\/\/mat.ub.edu\/masteradvancedmathematics\/wp-json\/wp\/v2\/media?parent=71"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}