{"id":6072,"date":"2024-05-21T07:35:00","date_gmt":"2024-05-21T07:35:00","guid":{"rendered":"http:\/\/161.200.118.208\/wordpress\/?page_id=6072"},"modified":"2026-01-15T09:38:59","modified_gmt":"2026-01-15T02:38:59","slug":"current-students","status":"publish","type":"page","link":"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/current-students\/","title":{"rendered":"[EN] Current Students"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-page\" data-elementor-id=\"6072\" class=\"elementor elementor-6072\">\n\t\t\t\t<div class=\"elementor-element elementor-element-659a8588 e-flex e-con-boxed e-con e-parent\" data-id=\"659a8588\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;,&quot;shape_divider_bottom&quot;:&quot;tilt&quot;}\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" aria-hidden=\"true\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 1000 100\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M0,6V0h1000v100L0,6z\"\/>\n<\/svg>\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-767bb354 e-flex e-con-boxed e-con e-child\" data-id=\"767bb354\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t\t<div class=\"e-con-inner\">\n\t\t\t\t<div class=\"elementor-element elementor-element-6f6d30e5 elementor-widget elementor-widget-heading\" data-id=\"6f6d30e5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Current Students\n<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2c33efd2 elementor-widget elementor-widget-heading\" data-id=\"2c33efd2\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">Mathematics\u200b (M.Sc. &amp; Ph.D.)<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-868dd1e e-con-full e-flex e-con e-parent\" data-id=\"868dd1e\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-4ff83106 e-con-full e-flex e-con e-child\" data-id=\"4ff83106\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-183083da e-con-full program_menu e-flex e-con e-child\" data-id=\"183083da\" data-element_type=\"container\" data-e-type=\"container\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t<div class=\"elementor-element elementor-element-2a250c1f elementor-widget elementor-widget-heading\" data-id=\"2a250c1f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/\">Overview<\/a><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-260e47ec elementor-widget elementor-widget-heading\" data-id=\"260e47ec\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/current-students\/\">Current Students<\/a><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-483b156f elementor-widget elementor-widget-heading\" data-id=\"483b156f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-heading-title elementor-size-default\"><a href=\"#master\">Master Program<\/a><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-349b9da7 elementor-widget elementor-widget-heading\" data-id=\"349b9da7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-heading-title elementor-size-default\"><a href=\"#doctoral\">Doctoral Program<\/a><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-44736f0b elementor-widget elementor-widget-heading\" data-id=\"44736f0b\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-heading-title elementor-size-default\"><a href=\"#qualifying\">Qualifying Exam<\/a><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5446bd98 elementor-widget elementor-widget-heading\" data-id=\"5446bd98\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-heading-title elementor-size-default\"><a href=\"#proposal\">Proposal Examination<\/a><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5b763c9f elementor-widget elementor-widget-heading\" data-id=\"5b763c9f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-heading-title elementor-size-default\"><a href=\"#thesis\">Thesis and Dissertation Defense<\/a><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-15f5f581 elementor-widget elementor-widget-heading\" data-id=\"15f5f581\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/prospective-students\/\">Prospective Students<\/a><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-691703fb elementor-widget elementor-widget-heading\" data-id=\"691703fb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/math.sc.chula.ac.th\/graduate\/mathematics\/news\">News<\/a><\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-7413ed36 e-con-full e-flex e-con e-child\" data-id=\"7413ed36\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t<div class=\"elementor-element elementor-element-a791b60 e-con-full e-flex e-con e-child\" data-id=\"a791b60\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-66091661 elementor-widget elementor-widget-heading\" data-id=\"66091661\" data-element_type=\"widget\" data-e-type=\"widget\" id=\"master\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Master Program<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-25ba6a0 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"25ba6a0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2968472 elementor-widget elementor-widget-heading\" data-id=\"2968472\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\"><span>Master of Science&nbsp;<\/span><font><span>Program in Mathematics&nbsp; (M.Sc.)<\/span><\/font><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-46c7bf0 elementor-widget elementor-widget-spacer\" data-id=\"46c7bf0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8b0ed8c elementor-tabs-view-horizontal elementor-widget elementor-widget-tabs\" data-id=\"8b0ed8c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1451\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1451\" aria-expanded=\"false\">Total credits for the entire program  <\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1452\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1452\" aria-expanded=\"false\">Curriculum structure <\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1453\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1453\" aria-expanded=\"false\">Courses offered<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1454\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1454\" aria-expanded=\"false\">Dourble Degree<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1451\" aria-expanded=\"false\">Total credits for the entire program  <\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1451\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1451\" tabindex=\"0\" hidden=\"false\"><div>\n<h4>Plan A : Coursework and Thesis<\/h4>\n<\/div>\n<figure>\n<table>\n<thead>\n<tr>\n<th data-align=\"left\">Plan<\/th>\n<th style=\"text-align: left;\" data-align=\"center\">Total credits required<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td data-align=\"left\">Plan A(1)<\/td>\n<td style=\"text-align: left;\" data-align=\"center\">42 credits<\/td>\n<\/tr>\n<tr>\n<td data-align=\"left\">Plan A(2)<\/td>\n<td style=\"text-align: left;\" data-align=\"center\">42 credits<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<div>\n<p><span style=\"color: #ffcc00;\"><span style=\"color: #ff9900;\"><b>Study Duration<\/b><\/span>\u00a0<\/span>\u00a0 2\u00a0 \u00a0years<\/p>\n<\/div><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1452\" aria-expanded=\"false\">Curriculum structure <\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1452\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1452\" tabindex=\"0\" hidden=\"hidden\"><div>\u00a0<\/div>\n<figure>\n<table class=\" alignleft\">\n<thead>\n<tr>\n<th>Curriculum Structure<\/th>\n<th>Plan A(1)<\/th>\n<th>Plan A(2)<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Total Credit Units throughout the Program Not less than<\/td>\n<td>42<\/td>\n<td>42<\/td>\n<\/tr>\n<tr>\n<td>Number of Credit Units for Courses<\/td>\n<td>\u2013<\/td>\n<td>24<\/td>\n<\/tr>\n<tr>\n<td>\u2013 Compulsory Courses<\/td>\n<td>\u2013<\/td>\n<td>\u2013<\/td>\n<\/tr>\n<tr>\n<td>\u2013 Compulsory Elective Courses<\/td>\n<td>\u2013<\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td>\u2013 Elective Courses<\/td>\n<td>\u2013<\/td>\n<td>15<\/td>\n<\/tr>\n<tr>\n<td>Number of Thesis Credit Units<\/td>\n<td>42<\/td>\n<td>18<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<div>\n<p>Note:\u00a0Students enrolled in Plan A, Plan A(1), if deemed to have insufficient knowledge foundation, the curriculum management committee may require them to take additional courses or participate in other academic activities without credit counting.<\/p>\n<\/div><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1453\" aria-expanded=\"false\">Courses offered<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1453\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1453\" tabindex=\"0\" hidden=\"hidden\"><table width=\"521\">\n<tbody>\n<tr>\n<td width=\"113\"><strong>Plan A(1)\u00a0\u00a0<\/strong>\u00a0\u00a0\u00a0<\/td>\n<td colspan=\"2\" width=\"408\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\" width=\"521\"><strong>1) Compulsory course<\/strong> (Students are required to enroll in the following courses without credit and with S\/U grading.)<\/td>\n<\/tr>\n<tr>\n<td>2301560<\/td>\n<td>Computer Tools in Mathematics<\/td>\n<td>2(1-2-5)<\/td>\n<\/tr>\n<tr>\n<td>2301698<\/td>\n<td>Comprehensive Examination in Mathematics<\/td>\n<td>0(0-0-0)<\/td>\n<\/tr>\n<tr>\n<td>2301701<\/td>\n<td>Seminar<\/td>\n<td>1(1-0-3)<\/td>\n<\/tr>\n<tr>\n<td>2301704<\/td>\n<td>Research\u00a0 in Mathematics I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301705<\/td>\n<td>Research\u00a0 in Mathematics II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\"><strong>2) Dissertation<\/strong><\/td>\n<\/tr>\n<tr>\n<td>2301817<\/td>\n<td>Thesis<\/td>\n<td>42 credit<\/td>\n<\/tr>\n<tr>\n<td>\u00a0<\/td>\n<td>\u00a0<\/td>\n<td>\u00a0<\/td>\n<\/tr>\n<tr>\n<td><strong>Plan A(2)<\/strong><\/td>\n<td colspan=\"2\">\u00a0<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\" width=\"521\"><strong>1) Compulsory course<\/strong> (Students are required to enroll in the following courses without credit and with S\/U grading.)<\/td>\n<\/tr>\n<tr>\n<td>2301560<\/td>\n<td>Computer Tools in Mathematics<\/td>\n<td>2(1-2-5)<\/td>\n<\/tr>\n<tr>\n<td>2301701<\/td>\n<td>Seminar<\/td>\n<td>1(1-0-3)<\/td>\n<\/tr>\n<tr>\n<td>2301704<\/td>\n<td>Research\u00a0 in Mathematics I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><strong>2) Required elective course<\/strong><\/td>\n<td>9 credit<\/td>\n<\/tr>\n<tr>\n<td>\u00a0<\/td>\n<td>You must choose at least 2 subject groups from the following groups.\u00a0<\/td>\n<td>\u00a0<\/td>\n<\/tr>\n<tr>\n<td>\u00a0<\/td>\n<td><strong>Algebra Group<\/strong><\/td>\n<td>\u00a0<\/td>\n<\/tr>\n<tr>\n<td>2301610<\/td>\n<td>Linear and Multilinear Algebra<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301613<\/td>\n<td>Abstract Algebra I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301614<\/td>\n<td>Abstract Algebra II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>\u00a0<\/td>\n<td><strong>Analysis Group<\/strong><\/td>\n<td><u>\u00a0<\/u><\/td>\n<\/tr>\n<tr>\n<td>2301620<\/td>\n<td>Mathematical Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301621<\/td>\n<td>Real Analysis I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301622<\/td>\n<td>Real Analysis II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301623<\/td>\n<td>Complex Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>\u00a0<\/td>\n<td><strong>Topology and Geometry Group<\/strong><\/td>\n<td><u>\u00a0<\/u><\/td>\n<\/tr>\n<tr>\n<td>2301631<\/td>\n<td>Topology<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301632<\/td>\n<td>Algebraic Topology<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301635<\/td>\n<td>Differentiable Manifold<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>\u00a0<\/td>\n<td><strong>Applied Mathematics Group<\/strong><\/td>\n<td><u>\u00a0<\/u><\/td>\n<\/tr>\n<tr>\n<td>2301640<\/td>\n<td>Fundamentals of Mathematical Programming<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301641<\/td>\n<td>Methods of Applied Mathematics I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301650<\/td>\n<td>Partial Differential Equations I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301653<\/td>\n<td>Numerical Analysis I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301676<\/td>\n<td>Stochastic Models<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><strong>3) Elective courses<\/strong><\/td>\n<td>15 credit<\/td>\n<\/tr>\n<tr>\n<td>\u00a0<\/td>\n<td>Please select from the list of courses below.<\/td>\n<td>\u00a0<\/td>\n<\/tr>\n<tr>\n<td>2301601<\/td>\n<td>Recursion Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301602<\/td>\n<td>Model Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301603<\/td>\n<td>Set Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301608<\/td>\n<td>Mathematical Foundations of Cryptography<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301609<\/td>\n<td>Analytic Number Theory I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301612<\/td>\n<td>Representation Theory I\u00a0<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301616<\/td>\n<td>Algebraic Semigroup Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301617<\/td>\n<td>Lie Algebras I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301618<\/td>\n<td>Combinatorial Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301619<\/td>\n<td>Algebraic Number Theory I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301629<\/td>\n<td>Functional Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301634<\/td>\n<td>Convex and Discrete Geometry<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301646<\/td>\n<td>Nonlinear Programming Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301649<\/td>\n<td>Combinatorial Design Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301661<\/td>\n<td>Probability Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301665<\/td>\n<td>Mathematical Statistics<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301670<\/td>\n<td>Graph Theory and Applications<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301690<\/td>\n<td>Special Topics in Advanced Mathematics<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301691<\/td>\n<td>Special Topics in Algebra<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301692<\/td>\n<td>Special Topics in Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301693<\/td>\n<td>Special Topics in Geometry<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301694<\/td>\n<td>Special Topics in Applied Mathematics<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301711<\/td>\n<td>Algebraic Geometry<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301717<\/td>\n<td>Lie Algebras II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301719<\/td>\n<td>Algebraic Number Theory II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301721<\/td>\n<td>Advanced Analysis I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301783<\/td>\n<td>Advanced Topics in Algebra<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301784<\/td>\n<td>Advanced Topics in Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301785<\/td>\n<td>Advanced Topics in Geometry<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301791<\/td>\n<td>Selected Topics in Mathematics I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301792<\/td>\n<td>Selected Topics in Mathematics II\u00a0\u00a0\u00a0\u00a0\u00a0<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301796<\/td>\n<td>Individual Study I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301797<\/td>\n<td>Individual Study II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\" width=\"521\">\u00a0\u00a0\u00a0\u00a0\u00a0 New elective courses may be added each year and will be announced accordingly. Students can also choose to take required electives or graduate-level courses as electives, with the approval of the curriculum committee.<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\"><strong>4) Dissertation<\/strong><\/td>\n<\/tr>\n<tr>\n<td>2301813<\/td>\n<td>Thesis<\/td>\n<td>18 credit<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1454\" aria-expanded=\"false\">Dourble Degree<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1454\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1454\" tabindex=\"0\" hidden=\"hidden\"><p>New graduate students in the Master\u2019s program in Mathematics who are interested in participating in the Double-Degree Master\u2019s Program in Mathematics with the Graduate School of Natural Science and Technology, Kanazawa University, Japan, can review the attached DDP Program document and\/or submit their application\/inquire about the program during the orientation day or contact the program chair at email: yotsanan.m@chula.ac.th<\/p>\n<p data-sourcepos=\"5:1-5:102\"><strong>Guidelines for Applicants<\/strong> (For New Students Enrolling in the First Semester of Each Academic Year) on&nbsp; website:&nbsp;<a href=\"http:\/\/cmpsci.w3.kanazawa-u.ac.jp\/DDP\/\">http:\/\/cmpsci.w3.kanazawa-u.ac.jp\/DDP\/<\/a><\/p>\n<ul data-sourcepos=\"7:1-10:0\">\n<li data-sourcepos=\"7:1-7:45\"><strong>Application Period:<\/strong> August of each year<\/li>\n<\/ul>\n<ul data-sourcepos=\"7:1-10:0\">\n<li data-sourcepos=\"8:1-8:23\"><strong>Interview:<\/strong> August<\/li>\n<li data-sourcepos=\"9:1-10:0\"><strong>Location:<\/strong> To be announced via email.<\/li>\n<\/ul>\n<p data-sourcepos=\"5:1-5:102\"><span style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight ); font-size: 1rem;\">For more information,<\/span><span style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight ); font-size: 1rem;\"> please refer to the document titled &#8220;<\/span><a style=\"font-family: var( --e-global-typography-text-font-family ), Sans-serif; background-color: #ffffff; font-size: 1rem; color: #ae8441; font-weight: bold;\" draggable=\"false\" href=\"http:\/\/cmpsci.w3.kanazawa-u.ac.jp\/DDP\/ddp_mc_guidelines_forms_Oct2024.pdf\" target=\"_blank\" rel=\"noopener\">GUIDELINES FOR APPLICANTS<\/a><span style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight ); font-size: 1rem;\">&#8220;<\/span><\/p>\n<p data-sourcepos=\"5:1-5:102\"><span style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-size: 1rem;\"><b>Study Plan<\/b><\/span><span style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight ); font-size: 1rem;\"> :&nbsp; [<\/span><a href=\"https:\/\/drive.google.com\/file\/d\/1zxcupG7cA-adMug48tItuSHu0752zZqo\/view?usp=sharing\" target=\"_blank\">DDP Program<\/a><span style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight ); font-size: 1rem;\">]&nbsp;<\/span><\/p><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-30de576 e-con-full e-flex e-con e-child\" data-id=\"30de576\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-4238cd4 elementor-widget elementor-widget-spacer\" data-id=\"4238cd4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b365701 elementor-widget elementor-widget-heading\" data-id=\"b365701\" data-element_type=\"widget\" data-e-type=\"widget\" id=\"doctoral\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Doctoral Program<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6923ad7 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"6923ad7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c40cbd0 elementor-widget elementor-widget-heading\" data-id=\"c40cbd0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Doctor of Philosophy Program in Mathematics (Ph.D)<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-a2f619c e-con-full e-flex e-con e-child\" data-id=\"a2f619c\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-8697775 elementor-widget elementor-widget-spacer\" data-id=\"8697775\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3288a5c elementor-tabs-view-horizontal elementor-widget elementor-widget-tabs\" data-id=\"3288a5c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"tabs.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-tabs\">\n\t\t\t<div class=\"elementor-tabs-wrapper\" role=\"tablist\" >\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-5291\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-5291\" aria-expanded=\"false\">Total credits for the entire program  <\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-5292\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-5292\" aria-expanded=\"false\">Curriculum structure <\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-5293\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-5293\" aria-expanded=\"false\">Courses offered<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t<div class=\"elementor-tabs-content-wrapper\" role=\"tablist\" aria-orientation=\"vertical\">\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-5291\" aria-expanded=\"false\">Total credits for the entire program  <\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-5291\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-5291\" tabindex=\"0\" hidden=\"false\"><div>\n<div>\n<h4>Plan 1: Thesis Emphasis<\/h4>\n<\/div>\n<figure>\n<table>\n<tbody>\n<tr>\n<td>Plan 1.1<\/td>\n<td>For students with a Master\u2019s degree<\/td>\n<td>\u00a0<\/td>\n<\/tr>\n<tr>\n<td>\u00a0<\/td>\n<td>Total credits required<\/td>\n<td>60 credits<\/td>\n<\/tr>\n<tr>\n<td>Plan 1.2<\/td>\n<td>For students with a Bachelor\u2019s degree<\/td>\n<td>\u00a0<\/td>\n<\/tr>\n<tr>\n<td>\u00a0<\/td>\n<td>Total credits required<\/td>\n<td>72 credits<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div>\n<h4>Plan 2: Coursework and Thesis<\/h4>\n<\/div>\n<figure>\n<table>\n<tbody>\n<tr>\n<td>Plan 2.1<\/td>\n<td>For students with a Master\u2019s degree<\/td>\n<td>\u00a0<\/td>\n<\/tr>\n<tr>\n<td>\u00a0<\/td>\n<td>Total credits required<\/td>\n<td>60 credits<\/td>\n<\/tr>\n<tr>\n<td>Plan 2.2<\/td>\n<td>For students with a Bachelor\u2019s degree<\/td>\n<td>\u00a0<\/td>\n<\/tr>\n<tr>\n<td>\u00a0<\/td>\n<td>Total credits required<\/td>\n<td>72 credits<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<div>\n<p><strong><span style=\"color: #ff9900;\">Study Duration\u00a0<\/span><\/strong> \u00a0 \u00a03 years for students with a Master\u2019s degree and 4 years for students with a Bachelor\u2019s degree<\/p>\n<\/div>\n<\/figure>\n<\/figure>\n<\/div><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-5292\" aria-expanded=\"false\">Curriculum structure <\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-5292\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-5292\" tabindex=\"0\" hidden=\"hidden\"><figure>\n<figure>\n<figure>\n<table>\n<thead>\n<tr>\n<th rowspan=\"2\">Curriculum Structure<\/th>\n<th colspan=\"2\">Plan 1<\/th>\n<th colspan=\"2\">Plan 2<\/th>\n<\/tr>\n<tr>\n<th>Plan\u00a0 1.1<\/th>\n<th>Plan\u00a0 1.2<\/th>\n<th>Plan\u00a0 2.1<\/th>\n<th>Plan\u00a0 2.2<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>Total Credit Units throughout the Program Not less than<\/td>\n<td>60<\/td>\n<td>72<\/td>\n<td>60<\/td>\n<td>72<\/td>\n<\/tr>\n<tr>\n<td>Number of Credit Units for Courses<\/td>\n<td>\u2013<\/td>\n<td>\u2013<\/td>\n<td>12<\/td>\n<td>24<\/td>\n<\/tr>\n<tr>\n<td>\u2013 Compulsory Courses<\/td>\n<td>\u2013<\/td>\n<td>\u2013<\/td>\n<td>\u2013<\/td>\n<td>\u2013<\/td>\n<\/tr>\n<tr>\n<td>\u2013 Compulsory Elective Courses<\/td>\n<td>\u2013<\/td>\n<td>\u2013<\/td>\n<td>\u2013<\/td>\n<td>9<\/td>\n<\/tr>\n<tr>\n<td>\u2013 Elective Courses<\/td>\n<td>\u2013<\/td>\n<td>\u2013<\/td>\n<td>12<\/td>\n<td>15<\/td>\n<\/tr>\n<tr>\n<td>Number of Thesis Credit Units<\/td>\n<td>60<\/td>\n<td>72<\/td>\n<td>48<\/td>\n<td>48<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><strong>Note:<\/strong><\/p>\n<ol class=\"list-decimal list-inside\">\n<li>All students must register for the course 2301894 Doctoral Dissertation Seminar every semester until the completion of their studies, with no credit counted, and graded as S\/U.<\/li>\n<li>Students enrolled in Plan 1.1 and Plan 1.2 may be required by the curriculum management committee to take additional courses or participate in other academic activities without credit counting.<\/li>\n<\/ol>\n<\/figure>\n<\/figure>\n<\/figure><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"elementor-tab-title elementor-tab-mobile-title\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-5293\" aria-expanded=\"false\">Courses offered<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-5293\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-5293\" tabindex=\"0\" hidden=\"hidden\"><table width=\"521\">\n<tbody>\n<tr>\n<td width=\"113\"><strong>Plan 1.1&nbsp;&nbsp;&nbsp;<\/strong>&nbsp;&nbsp;<\/td>\n<td colspan=\"2\" width=\"408\">for applicants with a master&#8217;s degree.<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\" width=\"521\"><strong>1) Compulsory course<\/strong> (evaluated as S\/U and non-credit)<\/td>\n<\/tr>\n<tr>\n<td>2301704<\/td>\n<td>Research&nbsp; in Mathematics I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301705<\/td>\n<td>Research&nbsp; in Mathematics II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301706<\/td>\n<td>Research&nbsp; in Mathematics III<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301707<\/td>\n<td>Research&nbsp; in Mathematics IV<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301894<\/td>\n<td>Doctoral Dissertation Seminar<\/td>\n<td>non-credit<\/td>\n<\/tr>\n<tr>\n<td>2301897<\/td>\n<td>Qualifying Examination<\/td>\n<td>non-credit<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\"><strong>2) Dissertation<\/strong><\/td>\n<\/tr>\n<tr>\n<td>2301829<\/td>\n<td>Dissertation<\/td>\n<td>60 credit<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td>&nbsp;<\/td>\n<td>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td><strong>Plan 1.2&nbsp;<\/strong><\/td>\n<td colspan=\"2\">for applicants with a bachelor&#8217;s degree.<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\" width=\"521\"><strong>1) Compulsory course<\/strong> (evaluated as S\/U and non-credit)<\/td>\n<\/tr>\n<tr>\n<td>2301560<\/td>\n<td>Computer Tools in Mathematics<\/td>\n<td>2(1-2-5)<\/td>\n<\/tr>\n<tr>\n<td>2301704<\/td>\n<td>Research&nbsp; in Mathematics I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301705<\/td>\n<td>Research&nbsp; in Mathematics II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301706<\/td>\n<td>Research&nbsp; in Mathematics III<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301707<\/td>\n<td>Research&nbsp; in Mathematics IV<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301708<\/td>\n<td>Research&nbsp; in Mathematics V<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301709<\/td>\n<td>Research&nbsp; in Mathematics VI<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301894<\/td>\n<td>Doctoral Dissertation Seminar<\/td>\n<td>non-credit<\/td>\n<\/tr>\n<tr>\n<td>2301897<\/td>\n<td>Qualifying Examination<\/td>\n<td>non-credit<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\"><strong>2)&nbsp;Dissertation<\/strong><\/td>\n<\/tr>\n<tr>\n<td>2301830<\/td>\n<td>Dissertation<\/td>\n<td>72&nbsp; credit<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td>&nbsp;<\/td>\n<td>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td><strong>Plan 2.1&nbsp;<\/strong><\/td>\n<td colspan=\"2\">for applicants with a master&#8217;s degree.<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\" width=\"521\"><strong>1) Compulsory course<\/strong> (evaluated as S\/U and non-credit)<\/td>\n<\/tr>\n<tr>\n<td>2301704<\/td>\n<td>Research&nbsp; in Mathematics I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301705<\/td>\n<td>Research&nbsp; in Mathematics II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301894<\/td>\n<td>Doctoral Dissertation Seminar<\/td>\n<td>non-credit<\/td>\n<\/tr>\n<tr>\n<td>2301897<\/td>\n<td>Qualifying Examination<\/td>\n<td>non-credit<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><strong>2) Required elective course<\/strong><\/td>\n<td>&#8212;&nbsp;<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><strong>3) Elective courses<\/strong><\/td>\n<td>12 credit<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td>Please select from the list of courses below.<\/td>\n<td>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td>2301601<\/td>\n<td>Recursion Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301602<\/td>\n<td>Model Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301603<\/td>\n<td>Set Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301608<\/td>\n<td>Mathematical Foundations of Cryptography<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301609<\/td>\n<td>Analytic Number Theory I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301610<\/td>\n<td>Linear and Multilinear Algebra<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301612<\/td>\n<td>Representation Theory I&nbsp;<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301613<\/td>\n<td>Abstract Algebra I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301614<\/td>\n<td>Abstract Algebra II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301616<\/td>\n<td>Algebraic Semigroup Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301617<\/td>\n<td>Lie Algebras I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301618<\/td>\n<td>Combinatorial Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301619<\/td>\n<td>Algebraic Number Theory I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301620<\/td>\n<td>Mathematical Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301621<\/td>\n<td>Real Analysis I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301622<\/td>\n<td>Real Analysis II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301623<\/td>\n<td>Complex Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301629<\/td>\n<td>Functional Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301631<\/td>\n<td>Topology&nbsp;&nbsp;<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301632<\/td>\n<td>Algebraic Topology<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301634<\/td>\n<td>Convex and Discrete Geometry&nbsp;<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301635<\/td>\n<td>Differentiable Manifold<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301640<\/td>\n<td>Fundamentals of Mathematical Programming<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301641<\/td>\n<td>Methods of Applied Mathematics I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301646<\/td>\n<td>Nonlinear Programming Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301649<\/td>\n<td>Combinatorial Design Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301650<\/td>\n<td>Partial Differential Equations I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301653<\/td>\n<td>Numerical Analysis I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301661<\/td>\n<td>Probability Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301665<\/td>\n<td>Mathematical Statistics<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301670<\/td>\n<td>Graph Theory and Applications<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301675<\/td>\n<td>Mathematical Modeling<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301676<\/td>\n<td>Stochastic Models<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301690<\/td>\n<td>Special Topics in Advanced Mathematics<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301691<\/td>\n<td>Special Topics in Algebra<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301692<\/td>\n<td>Special Topics in Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301693<\/td>\n<td>Special Topics in Geometry<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301694<\/td>\n<td>Special Topics in Applied Mathematics<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301711<\/td>\n<td>Algebraic Geometry<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301717<\/td>\n<td>Lie Algebras II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301719<\/td>\n<td>Algebraic Number Theory II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301721<\/td>\n<td>Advanced Analysis I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301783<\/td>\n<td>Advanced Topics in Algebra<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301784<\/td>\n<td>Advanced Topics in Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301785<\/td>\n<td>Advanced Topics in Geometry<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301791<\/td>\n<td>Selected Topics in Mathematics I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301792<\/td>\n<td>Selected Topics in Mathematics II&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301796<\/td>\n<td>Individual Study I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301797<\/td>\n<td>Individual Study II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\" width=\"521\">&nbsp;&nbsp;&nbsp;&nbsp; Furthermore, new elective courses may be introduced annually, and the specific offerings will be announced each academic year. Additionally, students may, subject to the approval of the Curriculum Management Committee, elect to take required elective courses under Plan2.2 or graduate-level courses within the department as elective courses.<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\"><strong>4)&nbsp; Dissertation<\/strong><\/td>\n<\/tr>\n<tr>\n<td>2301828<\/td>\n<td>Dissertation<\/td>\n<td>48&nbsp; credit<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td>&nbsp;<\/td>\n<td>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td><strong>Plan 2.2<\/strong><\/td>\n<td colspan=\"2\">for applicants with a bachelor&#8217;s degree.<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\" width=\"521\"><strong>1) Compulsory course<\/strong> (evaluated as S\/U and non-credit)<\/td>\n<\/tr>\n<tr>\n<td>2301560<\/td>\n<td>Computer Tools in Mathematics<\/td>\n<td>2(1-2-5)<\/td>\n<\/tr>\n<tr>\n<td>2301704<\/td>\n<td>Research&nbsp; in Mathematics I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301705<\/td>\n<td>Research&nbsp; in Mathematics II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301894<\/td>\n<td>Doctoral Dissertation Seminar<\/td>\n<td>non-credit<\/td>\n<\/tr>\n<tr>\n<td>2301897<\/td>\n<td>Qualifying Examination<\/td>\n<td>non-credit<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><strong>2) Required elective course<\/strong><\/td>\n<td>9 credit<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td>You must choose at least 2 subject groups from the following groups.&nbsp;<\/td>\n<td>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td><strong>Algebra Group<\/strong><\/td>\n<td>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td>2301610<\/td>\n<td>Linear and Multilinear Algebra<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301613<\/td>\n<td>Abstract Algebra I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301614<\/td>\n<td>Abstract Algebra II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td><strong>Analysis Group<\/strong><\/td>\n<td><u>&nbsp;<\/u><\/td>\n<\/tr>\n<tr>\n<td>2301620<\/td>\n<td>Mathematical Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301621<\/td>\n<td>Real Analysis I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301622<\/td>\n<td>Real Analysis II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301623<\/td>\n<td>Complex Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td><strong>Topology and Geometry Group<\/strong><\/td>\n<td><u>&nbsp;<\/u><\/td>\n<\/tr>\n<tr>\n<td>2301631<\/td>\n<td>Topology<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301632<\/td>\n<td>Algebraic Topology<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301635<\/td>\n<td>Differentiable Manifold<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td><strong>Applied Mathematics Group<\/strong><\/td>\n<td><u>&nbsp;<\/u><\/td>\n<\/tr>\n<tr>\n<td>2301640<\/td>\n<td>Fundamentals of Mathematical Programming<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301641<\/td>\n<td>Methods of Applied Mathematics I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301650<\/td>\n<td>Partial Differential Equations I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301653<\/td>\n<td>Numerical Analysis I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301676<\/td>\n<td>Stochastic Models<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"2\"><strong>3) Elective courses<\/strong><\/td>\n<td>15 credit<\/td>\n<\/tr>\n<tr>\n<td>&nbsp;<\/td>\n<td>Please select from the list of courses below.<\/td>\n<td>&nbsp;<\/td>\n<\/tr>\n<tr>\n<td>2301601<\/td>\n<td>Recursion Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301602<\/td>\n<td>Model Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301603<\/td>\n<td>Set Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301608<\/td>\n<td>Mathematical Foundations of Cryptography<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301609<\/td>\n<td>Analytic Number Theory I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301612<\/td>\n<td>Representation Theory I&nbsp;<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301616<\/td>\n<td>Algebraic Semigroup Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301617<\/td>\n<td>Lie Algebras I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301618<\/td>\n<td>Combinatorial Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301619<\/td>\n<td>Algebraic Number Theory I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301629<\/td>\n<td>Functional Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301634<\/td>\n<td>Convex and Discrete Geometry<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301646<\/td>\n<td>Nonlinear Programming Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301649<\/td>\n<td>Combinatorial Design Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301661<\/td>\n<td>Probability Theory<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301665<\/td>\n<td>Mathematical Statistics<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301670<\/td>\n<td>Graph Theory and Applications<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301690<\/td>\n<td>Special Topics in Advanced Mathematics<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301691<\/td>\n<td>Special Topics in Algebra<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301692<\/td>\n<td>Special Topics in Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301693<\/td>\n<td>Special Topics in Geometry<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301694<\/td>\n<td>Special Topics in Applied Mathematics<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301711<\/td>\n<td>Algebraic Geometry<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301717<\/td>\n<td>Lie Algebras II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301719<\/td>\n<td>Algebraic Number Theory II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301721<\/td>\n<td>Advanced Analysis I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301783<\/td>\n<td>Advanced Topics in Algebra<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301784<\/td>\n<td>Advanced Topics in Analysis<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301785<\/td>\n<td>Advanced Topics in Geometry<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301791<\/td>\n<td>Selected Topics in Mathematics I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301792<\/td>\n<td>Selected Topics in Mathematics II&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301796<\/td>\n<td>Individual Study I<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td>2301797<\/td>\n<td>Individual Study II<\/td>\n<td>3(3-0-9)<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\" width=\"521\">&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp; Furthermore, new elective courses may be introduced from time to time, and the specific offerings will be announced annually. Additionally, students may, subject to the approval of the Curriculum Management Committee, elect to take required elective courses or graduate-level courses within the department as elective courses.<\/td>\n<\/tr>\n<tr>\n<td colspan=\"3\"><strong>4) Dissertation<\/strong><\/td>\n<\/tr>\n<tr>\n<td>2301828<\/td>\n<td>Dissertation<\/td>\n<td>48 credit<\/td>\n<\/tr>\n<\/tbody>\n<\/table><\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-0ac1ceb e-con-full e-flex e-con e-child\" data-id=\"0ac1ceb\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-c0053e3 elementor-widget elementor-widget-heading\" data-id=\"c0053e3\" data-element_type=\"widget\" data-e-type=\"widget\" id=\"qualifying\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Qualifying Exam<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-85ee6eb elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"85ee6eb\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-24c23fe7 elementor-widget elementor-widget-text-editor\" data-id=\"24c23fe7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p data-sourcepos=\"5:1-5:54\"><strong>Qualifying Examination for Doctoral Candidates<\/strong><\/p>\n<p data-sourcepos=\"7:1-7:222\">The Qualifying Examination is designed to assess a student&#8217;s fundamental knowledge, analytical skills, and independent research capabilities. It serves as a benchmark to evaluate a student&#8217;s readiness for doctoral studies.<\/p>\n<p data-sourcepos=\"9:1-9:72\"><strong>Specific requirements for the Qualifying Examination are as follows:&nbsp;<\/strong><\/p>\n<ol data-sourcepos=\"11:1-11:19\">\n<li data-sourcepos=\"11:1-11:19\">\n<p data-sourcepos=\"11:4-11:19\"><strong>Eligibility:<\/strong><\/p>\n<ul data-sourcepos=\"12:4-13:57\">\n<li data-sourcepos=\"12:4-12:107\">A student may only take the Qualifying Examination upon receiving approval from the Program Committee.<\/li>\n<li data-sourcepos=\"13:4-13:57\">Students entering the program with a master&#8217;s degree or a bachelor&#8217;s degree with honors may register for the Qualifying Examination starting from the first semester of enrollment.<\/li>\n<li data-sourcepos=\"14:4-15:0\">Students entering the program with a bachelor&#8217;s degree without honors (specifically, Plan G and G2 students) must complete at least 9 credit hours (*) and maintain a cumulative GPA of 3.25 or higher to be eligible for the Qualifying Examination.<\/li>\n<\/ul>\n<\/li>\n<li data-sourcepos=\"16:1-17:238\">\n<p data-sourcepos=\"16:4-16:28\"><strong>Examination Timeline:<\/strong><\/p>\n<ul data-sourcepos=\"17:4-17:238\">\n<li data-sourcepos=\"17:4-17:238\">Students must register for and pass the Qualifying Examination with a grade of S (pass) within 4 semesters from the first semester of enrollment for master&#8217;s degree holders and within 5 semesters from the first semester of enrollment for bachelor&#8217;s degree holders (**).<\/li>\n<\/ul>\n<\/li>\n<li data-sourcepos=\"19:1-21:0\">\n<p data-sourcepos=\"19:4-19:32\"><strong>Retaking the Examination:<\/strong><\/p>\n<ul data-sourcepos=\"20:4-21:0\">\n<li data-sourcepos=\"20:4-21:0\">Students who receive a grade of U (fail) may retake the examination once. If they receive a grade of U twice, they will be dismissed from the program unless approved by the program to transfer to a master&#8217;s degree program.<\/li>\n<\/ul>\n<\/li>\n<li data-sourcepos=\"22:1-24:0\">\n<p data-sourcepos=\"22:4-22:26\"><strong>Examination Format:<\/strong><\/p>\n<ul data-sourcepos=\"23:4-24:0\">\n<li data-sourcepos=\"23:4-24:0\">The Qualifying Examination consists of a written examination.<\/li>\n<\/ul>\n<\/li>\n<li data-sourcepos=\"25:1-27:0\">\n<p data-sourcepos=\"25:4-25:21\"><strong>Subject Areas:<\/strong><\/p>\n<ul data-sourcepos=\"26:4-27:0\">\n<li data-sourcepos=\"26:4-27:0\">Students must pass examinations in two out of four subject areas: Algebra, Analysis, Topology+Geometry, and Applied Mathematics. For each subject area, students must select and pass two specific courses. A passing score is defined as obtaining at least 50% of the total points in each subject area.<\/li>\n<\/ul>\n<\/li>\n<li data-sourcepos=\"28:1-30:0\">\n<p data-sourcepos=\"28:4-28:28\"><strong>Examination Schedule:<\/strong><\/p>\n<ul data-sourcepos=\"29:4-30:0\">\n<li data-sourcepos=\"29:4-30:0\">Students may choose to take the examination in one or two subject areas per semester. If a student passes only one subject area, it is considered a pass for that subject area, and the student may take the remaining subject area in the following semester.<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n<p data-sourcepos=\"31:1-31:78\">(*, **) For students who enrolled starting from the academic year 2018 onward.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-11c2f2de elementor-widget elementor-widget-heading\" data-id=\"11c2f2de\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">The content of each branch covers the following subjects<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-067fb45 elementor-widget elementor-widget-toggle\" data-id=\"067fb45\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"toggle.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle\">\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-6811\" class=\"elementor-tab-title\" data-tab=\"1\" role=\"button\" aria-controls=\"elementor-tab-content-6811\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-right\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><svg class=\"e-font-icon-svg e-fas-chevron-down\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><svg class=\"elementor-toggle-icon-opened e-font-icon-svg e-fas-chevron-up\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M240.971 130.524l194.343 194.343c9.373 9.373 9.373 24.569 0 33.941l-22.667 22.667c-9.357 9.357-24.522 9.375-33.901.04L224 227.495 69.255 381.516c-9.379 9.335-24.544 9.317-33.901-.04l-22.667-22.667c-9.373-9.373-9.373-24.569 0-33.941L207.03 130.525c9.372-9.373 24.568-9.373 33.941-.001z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Algebra<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-6811\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"region\" aria-labelledby=\"elementor-tab-title-6811\"><p><strong>2301610 \u00a0 Linear and Multilinear Algebra<\/strong><br \/>\u2013 Basic concepts; linear maps; linear geometry; multilinear algebra; quadratic forms.<\/p>\n<p><!-- \/wp:paragraph --><!-- wp:paragraph --><\/p>\n<p><strong>2301613 \u00a0 Abstract Algebra I<\/strong><br \/>\u2013 Groups; group actions; Sylow theorems; rings; ideals; polynomial rings; unique factorization domains;<br \/>\u00a0 fields and field extensions.<\/p>\n<p><!-- \/wp:paragraph --><!-- wp:paragraph --><\/p>\n<p><strong>2301614 \u00a0 Abstract Algebra II<\/strong><br \/>\u2013 Jordan-Holder theorem; solvable groups; free groups; classification of extension fields; Galois theory;<br \/>\u00a0 \u00a0Noetherian ring; modules.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-6812\" class=\"elementor-tab-title\" data-tab=\"2\" role=\"button\" aria-controls=\"elementor-tab-content-6812\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-right\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><svg class=\"e-font-icon-svg e-fas-chevron-down\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><svg class=\"elementor-toggle-icon-opened e-font-icon-svg e-fas-chevron-up\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M240.971 130.524l194.343 194.343c9.373 9.373 9.373 24.569 0 33.941l-22.667 22.667c-9.357 9.357-24.522 9.375-33.901.04L224 227.495 69.255 381.516c-9.379 9.335-24.544 9.317-33.901-.04l-22.667-22.667c-9.373-9.373-9.373-24.569 0-33.941L207.03 130.525c9.372-9.373 24.568-9.373 33.941-.001z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Analysis<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-6812\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"region\" aria-labelledby=\"elementor-tab-title-6812\"><p><strong>2301620 \u00a0 Mathematical Analysis<\/strong><br \/>\u2013 The real number system; metric spaces; sequences and series of real numbers; continuity;<br \/>\u00a0 \u00a0differentiation; the Riemann integral; uniform convergence; the Arzela-Ascoli theorem; the Stone-<br \/>\u00a0 Weierstrass theorem.<\/p>\n<p><!-- \/wp:paragraph --><!-- wp:paragraph --><\/p>\n<p><strong>2301621 \u00a0 Real Analysis I<\/strong><br \/>\u2013 Measures; integration; normed linear spaces;\u00a0 \u2013 spaces; Hilbert spaces.<\/p>\n<p><!-- \/wp:paragraph --><!-- wp:paragraph --><\/p>\n<p><strong>2301622 \u00a0 Real Analysis II<\/strong><br \/>\u2013 Product measures; signed and complex measures; differentiation; Banach spaces.<\/p>\n<p><!-- \/wp:paragraph --><!-- wp:paragraph --><\/p>\n<p><strong>2301623 \u00a0 Complex Analysis<\/strong><br \/>\u2013 Holomorphic functions; complex power series; complex line integrals; Cauchy theorem, Cauchy integral<br \/>\u00a0 formula and applications; calculus of residues; maximum modulus principle; conformal mappings,<br \/>\u00a0 normal families, Riemann mapping theorem; harmonic functions.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-6813\" class=\"elementor-tab-title\" data-tab=\"3\" role=\"button\" aria-controls=\"elementor-tab-content-6813\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-right\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><svg class=\"e-font-icon-svg e-fas-chevron-down\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><svg class=\"elementor-toggle-icon-opened e-font-icon-svg e-fas-chevron-up\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M240.971 130.524l194.343 194.343c9.373 9.373 9.373 24.569 0 33.941l-22.667 22.667c-9.357 9.357-24.522 9.375-33.901.04L224 227.495 69.255 381.516c-9.379 9.335-24.544 9.317-33.901-.04l-22.667-22.667c-9.373-9.373-9.373-24.569 0-33.941L207.03 130.525c9.372-9.373 24.568-9.373 33.941-.001z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Topology + Geometry<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-6813\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"region\" aria-labelledby=\"elementor-tab-title-6813\"><p><strong>2301631 Topology<\/strong><br \/>\u2013 Topological spaces; complete metric spaces; product spaces; quotient spaces; countability axioms;<br \/>\u00a0 separation axioms; connectedmess; compactness; compactifications; net convergence; function<br \/>\u00a0 spaces.<\/p>\n<p><!-- \/wp:paragraph --><!-- wp:paragraph --><\/p>\n<p><strong>2301632 \u00a0 Algebraic Topology<\/strong><br \/>\u2013 Homotopy; fundamental groups; covering spaces; van Kampen\u2019s theorem; simplicial homology; singular<br \/>\u00a0 homology CW-complexes; cellular homology; Eilenberg-Steenrod axioms.<\/p>\n<p><!-- \/wp:paragraph --><!-- wp:paragraph --><\/p>\n<p><strong>2301635 \u00a0 Differentiable Manifolds<\/strong><br \/>\u2013 Differentiable manifolds, tangent spaces; vector fields and flows; immersions and submersions;<br \/>\u00a0 Frobenius\u2019 theorem; integration on manifols, differential forms, Stokes\u2019theorem; introduction to Lie<br \/>\u00a0 groups and Lie algebras.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-toggle-item\">\n\t\t\t\t\t<div id=\"elementor-tab-title-6814\" class=\"elementor-tab-title\" data-tab=\"4\" role=\"button\" aria-controls=\"elementor-tab-content-6814\" aria-expanded=\"false\">\n\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon elementor-toggle-icon-right\" aria-hidden=\"true\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-closed\"><svg class=\"e-font-icon-svg e-fas-chevron-down\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M207.029 381.476L12.686 187.132c-9.373-9.373-9.373-24.569 0-33.941l22.667-22.667c9.357-9.357 24.522-9.375 33.901-.04L224 284.505l154.745-154.021c9.379-9.335 24.544-9.317 33.901.04l22.667 22.667c9.373 9.373 9.373 24.569 0 33.941L240.971 381.476c-9.373 9.372-24.569 9.372-33.942 0z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t<span class=\"elementor-toggle-icon-opened\"><svg class=\"elementor-toggle-icon-opened e-font-icon-svg e-fas-chevron-up\" viewBox=\"0 0 448 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M240.971 130.524l194.343 194.343c9.373 9.373 9.373 24.569 0 33.941l-22.667 22.667c-9.357 9.357-24.522 9.375-33.901.04L224 227.495 69.255 381.516c-9.379 9.335-24.544 9.317-33.901-.04l-22.667-22.667c-9.373-9.373-9.373-24.569 0-33.941L207.03 130.525c9.372-9.373 24.568-9.373 33.941-.001z\"><\/path><\/svg><\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/span>\n\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"elementor-toggle-title\" tabindex=\"0\">Applied Mathematics<\/a>\n\t\t\t\t\t<\/div>\n\n\t\t\t\t\t<div id=\"elementor-tab-content-6814\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"region\" aria-labelledby=\"elementor-tab-title-6814\"><p><strong>\u0e1a\u0e31\u0e07\u0e04\u0e31\u0e1a\u0e2a\u0e2d\u0e1a\u0e23\u0e32\u0e22\u0e27\u0e34\u0e0a\u0e32\u00a0 2301653 \u00a0 Numerical Analysis<\/strong><br \/>\u2013 Solutions of systems of linear and non-linear equations, numerical methods for ordinary\u00a0<br \/>\u00a0 differential\u00a0equations, finite difference methods for two-point boundary value problems and finite<br \/>\u00a0 difference\u00a0methods for partial differential equations.<\/p>\n<p><!-- \/wp:paragraph --><!-- wp:paragraph --><\/p>\n<p><strong>\u0e41\u0e25\u0e30\u0e40\u0e25\u0e37\u0e2d\u0e01\u0e2a\u0e2d\u0e1a\u0e2d\u0e35\u0e01 1 \u0e23\u0e32\u0e22\u0e27\u0e34\u0e0a\u0e32\u0e08\u0e32\u0e01 3 \u0e23\u0e32\u0e22\u0e27\u0e34\u0e0a\u0e32\u0e15\u0e48\u0e2d\u0e44\u0e1b\u0e19\u0e35\u0e49<\/strong><\/p>\n<p><!-- \/wp:paragraph --><!-- wp:paragraph --><\/p>\n<p><strong>2301641\u00a0 Method of Applied Mathematics I<\/strong><br \/>\u2013 Theory of distribution, Green\u2019s functions, operator theory, perturbation method.<\/p>\n<p><!-- \/wp:paragraph --><!-- wp:paragraph --><\/p>\n<p><strong>2301650\u00a0 Partial Differential Equations<\/strong><br \/>\u2013 First-order equations; linear second-order PDEs; representation of solutions; introduction to Hamilton-<br \/>\u00a0 Jacobi equations; other ways to represent solutions.\u00a0<\/p>\n<p><!-- \/wp:paragraph --><!-- wp:paragraph --><\/p>\n<p><strong>2301676\u00a0 Stochastic Models<\/strong><br \/>\u2013 Stochastic programming models, probabilistic dynamic programming models, Markov chain, waiting line<br \/>\u00a0 models, birth-death process.<\/p><\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3352f36 elementor-view-framed elementor-position-inline-start elementor-shape-circle elementor-mobile-position-block-start elementor-widget elementor-widget-icon-box\" data-id=\"3352f36\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<span  class=\"elementor-icon\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-far-edit\" viewBox=\"0 0 576 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M402.3 344.9l32-32c5-5 13.7-1.5 13.7 5.7V464c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V112c0-26.5 21.5-48 48-48h273.5c7.1 0 10.7 8.6 5.7 13.7l-32 32c-1.5 1.5-3.5 2.3-5.7 2.3H48v352h352V350.5c0-2.1.8-4.1 2.3-5.6zm156.6-201.8L296.3 405.7l-90.4 10c-26.2 2.9-48.5-19.2-45.6-45.6l10-90.4L432.9 17.1c22.9-22.9 59.9-22.9 82.7 0l43.2 43.2c22.9 22.9 22.9 60 .1 82.8zM460.1 174L402 115.9 216.2 301.8l-7.3 65.3 65.3-7.3L460.1 174zm64.8-79.7l-43.2-43.2c-4.1-4.1-10.8-4.1-14.8 0L436 82l58.1 58.1 30.9-30.9c4-4.2 4-10.8-.1-14.9z\"><\/path><\/svg>\t\t\t\t<\/span>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h3 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<span  >\n\t\t\t\t\t\t\tQualifying Examination Application Form\t\t\t\t\t\t<\/span>\n\t\t\t\t\t<\/h3>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<p class=\"elementor-icon-box-description\">\n\t\t\t\t\t\tPlease submit this form by July for Fall Semester and by December for Spring Semester.\t\t\t\t\t<\/p>\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-acfc6c6 e-con-full e-flex e-con e-child\" data-id=\"acfc6c6\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5214465 elementor-widget elementor-widget-spacer\" data-id=\"5214465\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-915e088 elementor-widget elementor-widget-heading\" data-id=\"915e088\" data-element_type=\"widget\" data-e-type=\"widget\" id=\"proposal\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Proposal Examination<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-bf4bcb7 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"bf4bcb7\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6e175b76 elementor-widget elementor-widget-text-editor\" data-id=\"6e175b76\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Thesis outline examination It is a test to measure students&#8217; knowledge and understanding of issues related to issues. Research methods Methods and techniques used in solving research problems Examination of dissertation proposals in the Doctor of Philosophy degree program. There must be an examination of the basic knowledge and in-depth knowledge necessary to complete the thesis. To ensure that students have sufficient necessary knowledge to conduct research.<\/p>\n<ul>\n<li>For students in the Master&#8217;s degree program Project approval must be received within 2 academic years from the first semester of study.<\/li>\n<li>For Ph.D. students The outline must be approved within 3 academic years from the first semester of study. Except for continuous management courses Students can take the thesis outline examination at any time. But not less than 60 days before the thesis examination.<\/li>\n<\/ul>\n<p>\u00a0<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-84e6bab e-con-full e-flex e-con e-child\" data-id=\"84e6bab\" data-element_type=\"container\" data-e-type=\"container\">\n\t\t\t\t<div class=\"elementor-element elementor-element-10cf3751 elementor-widget elementor-widget-heading\" data-id=\"10cf3751\" data-element_type=\"widget\" data-e-type=\"widget\" id=\"thesis\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Thesis\/Dissertation Defense<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2a407e3 elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"2a407e3\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"divider.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-divider\">\n\t\t\t<span class=\"elementor-divider-separator\">\n\t\t\t\t\t\t<\/span>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-470f55ac elementor-widget elementor-widget-text-editor\" data-id=\"470f55ac\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Thesis examination It is a test to measure students&#8217; knowledge and understanding of issues related to issues. Research methods Methods and techniques used to solve research problems The thesis examination must include a test of basic knowledge and in-depth knowledge used in the thesis to assess whether the student has knowledge and understanding of the research.<\/p>\n<p><span style=\"color: var( --e-global-color-text ); font-family: var( --e-global-typography-text-font-family ), Sans-serif; font-weight: var( --e-global-typography-text-font-weight ); text-align: var(--text-align); font-size: 1rem;\">\u00a0Students will be able to take the thesis examination. Only if the following criteria are met.<\/span><\/p>\n<ol>\n<li>Register for all courses as specified in the curriculum.<\/li>\n<li>Receive approval of the thesis outline from the Faculty Executive Committee for a period of not less than 60 days before the date of the thesis examination. In the event that the thesis outline does not have any significant amendments. and the Faculty Executive Committee approves the thesis examination before the period specified in paragraph one. The said period shall begin counting from the day the Curriculum Executive Committee approves the thesis outline.<\/li>\n<li>There is evidence showing that Submitted a research article as part of a thesis to an academic journal for consideration for publication. or has been accepted to present work to an academic conference in accordance with the criteria set forth in university regulations or announcements.<\/li>\n<li>Pass the English language test criteria as specified by the university\/program. (For students from academic year 2018 onwards)<\/li>\n<\/ol>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-15e241f elementor-position-inline-start elementor-view-framed elementor-shape-circle elementor-mobile-position-block-start elementor-widget elementor-widget-icon-box\" data-id=\"15e241f\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"icon-box.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-icon-box-wrapper\">\n\n\t\t\t\t\t\t<div class=\"elementor-icon-box-icon\">\n\t\t\t\t<a href=\"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2025\/09\/schedule_prop_thesis68.pdf\" target=\"_blank\" class=\"elementor-icon\" tabindex=\"-1\" aria-label=\"Announcement\">\n\t\t\t\t<svg aria-hidden=\"true\" class=\"e-font-icon-svg e-fas-book-open\" viewBox=\"0 0 576 512\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\"><path d=\"M542.22 32.05c-54.8 3.11-163.72 14.43-230.96 55.59-4.64 2.84-7.27 7.89-7.27 13.17v363.87c0 11.55 12.63 18.85 23.28 13.49 69.18-34.82 169.23-44.32 218.7-46.92 16.89-.89 30.02-14.43 30.02-30.66V62.75c.01-17.71-15.35-31.74-33.77-30.7zM264.73 87.64C197.5 46.48 88.58 35.17 33.78 32.05 15.36 31.01 0 45.04 0 62.75V400.6c0 16.24 13.13 29.78 30.02 30.66 49.49 2.6 149.59 12.11 218.77 46.95 10.62 5.35 23.21-1.94 23.21-13.46V100.63c0-5.29-2.62-10.14-7.27-12.99z\"><\/path><\/svg>\t\t\t\t<\/a>\n\t\t\t<\/div>\n\t\t\t\n\t\t\t\t\t\t<div class=\"elementor-icon-box-content\">\n\n\t\t\t\t\t\t\t\t\t<h6 class=\"elementor-icon-box-title\">\n\t\t\t\t\t\t<a href=\"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2025\/09\/schedule_prop_thesis68.pdf\" target=\"_blank\" >\n\t\t\t\t\t\t\tAnnouncement\t\t\t\t\t\t<\/a>\n\t\t\t\t\t<\/h6>\n\t\t\t\t\n\t\t\t\t\t\t\t\t\t<p class=\"elementor-icon-box-description\">\n\t\t\t\t\t\tAnnouncement on the deadline of complete thesis\/dissertation and independent study submission for Graduate Students, Academic Year 2025\t\t\t\t\t<\/p>\n\t\t\t\t\n\t\t\t<\/div>\n\t\t\t\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-e155edc elementor-widget elementor-widget-spacer\" data-id=\"e155edc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Current Students Mathematics\u200b (M.Sc. &amp; Ph.D.) Overview Current Students Master Program Doctoral Program Qualifying Exam Proposal Examination Thesis and Dissertation Defense Prospective Students News Master Program Master of Science&nbsp;Program in Mathematics&nbsp; (M.Sc.) Total credits for the entire program Curriculum structure Courses offered Dourble Degree Total credits for the entire program Plan A : Coursework and<a href=\"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/current-students\/\">Continue reading <span class=\"sr-only\">&#8220;[EN] Current Students&#8221;<\/span><\/a><\/p>\n","protected":false},"author":64,"featured_media":0,"parent":6065,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-6072","page","type-page","status-publish","hentry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>[EN] Current Students | Department of Mathematics and Computer Science<\/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:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/current-students\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"[EN] Current Students | Department of Mathematics and Computer Science\" \/>\n<meta property=\"og:description\" content=\"Current Students Mathematics\u200b (M.Sc. &amp; Ph.D.) Overview Current Students Master Program Doctoral Program Qualifying Exam Proposal Examination Thesis and Dissertation Defense Prospective Students News Master Program Master of Science&nbsp;Program in Mathematics&nbsp; (M.Sc.) Total credits for the entire program Curriculum structure Courses offered Dourble Degree Total credits for the entire program Plan A : Coursework andContinue reading &quot;[EN] Current Students&quot;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/current-students\/\" \/>\n<meta property=\"og:site_name\" content=\"Department of Mathematics and Computer Science\" \/>\n<meta property=\"article:modified_time\" content=\"2026-01-15T02:38:59+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2024\/08\/MHVH-Corner-71.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"2000\" \/>\n\t<meta property=\"og:image:height\" content=\"1335\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"14 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/en-graduate-math\\\/current-students\\\/\",\"url\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/en-graduate-math\\\/current-students\\\/\",\"name\":\"[EN] Current Students | Department of Mathematics and Computer Science\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/#website\"},\"datePublished\":\"2024-05-21T07:35:00+00:00\",\"dateModified\":\"2026-01-15T02:38:59+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/en-graduate-math\\\/current-students\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/en-graduate-math\\\/current-students\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/en-graduate-math\\\/current-students\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"[EN] Mathematics (M.Sc. &#038; Ph.D.)\",\"item\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/en-graduate-math\\\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"[EN] Current Students\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/#website\",\"url\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/\",\"name\":\"Department of Mathematics and Computer Science\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/#organization\",\"name\":\"Department of Mathematics and Computer Science\",\"url\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/wp-content\\\/uploads\\\/2024\\\/09\\\/MathComLogo.png\",\"contentUrl\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/wp-content\\\/uploads\\\/2024\\\/09\\\/MathComLogo.png\",\"width\":1568,\"height\":2251,\"caption\":\"Department of Mathematics and Computer Science\"},\"image\":{\"@id\":\"https:\\\/\\\/math.sc.chula.ac.th\\\/wordpress\\\/#\\\/schema\\\/logo\\\/image\\\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"[EN] Current Students | Department of Mathematics and Computer Science","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/current-students\/","og_locale":"en_US","og_type":"article","og_title":"[EN] Current Students | Department of Mathematics and Computer Science","og_description":"Current Students Mathematics\u200b (M.Sc. &amp; Ph.D.) Overview Current Students Master Program Doctoral Program Qualifying Exam Proposal Examination Thesis and Dissertation Defense Prospective Students News Master Program Master of Science&nbsp;Program in Mathematics&nbsp; (M.Sc.) Total credits for the entire program Curriculum structure Courses offered Dourble Degree Total credits for the entire program Plan A : Coursework andContinue reading \"[EN] Current Students\"","og_url":"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/current-students\/","og_site_name":"Department of Mathematics and Computer Science","article_modified_time":"2026-01-15T02:38:59+00:00","og_image":[{"width":2000,"height":1335,"url":"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2024\/08\/MHVH-Corner-71.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"14 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/current-students\/","url":"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/current-students\/","name":"[EN] Current Students | Department of Mathematics and Computer Science","isPartOf":{"@id":"https:\/\/math.sc.chula.ac.th\/wordpress\/#website"},"datePublished":"2024-05-21T07:35:00+00:00","dateModified":"2026-01-15T02:38:59+00:00","breadcrumb":{"@id":"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/current-students\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/current-students\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/current-students\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/math.sc.chula.ac.th\/wordpress\/"},{"@type":"ListItem","position":2,"name":"[EN] Mathematics (M.Sc. &#038; Ph.D.)","item":"https:\/\/math.sc.chula.ac.th\/wordpress\/en-graduate-math\/"},{"@type":"ListItem","position":3,"name":"[EN] Current Students"}]},{"@type":"WebSite","@id":"https:\/\/math.sc.chula.ac.th\/wordpress\/#website","url":"https:\/\/math.sc.chula.ac.th\/wordpress\/","name":"Department of Mathematics and Computer Science","description":"","publisher":{"@id":"https:\/\/math.sc.chula.ac.th\/wordpress\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/math.sc.chula.ac.th\/wordpress\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/math.sc.chula.ac.th\/wordpress\/#organization","name":"Department of Mathematics and Computer Science","url":"https:\/\/math.sc.chula.ac.th\/wordpress\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/math.sc.chula.ac.th\/wordpress\/#\/schema\/logo\/image\/","url":"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2024\/09\/MathComLogo.png","contentUrl":"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-content\/uploads\/2024\/09\/MathComLogo.png","width":1568,"height":2251,"caption":"Department of Mathematics and Computer Science"},"image":{"@id":"https:\/\/math.sc.chula.ac.th\/wordpress\/#\/schema\/logo\/image\/"}}]}},"_links":{"self":[{"href":"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-json\/wp\/v2\/pages\/6072","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-json\/wp\/v2\/users\/64"}],"replies":[{"embeddable":true,"href":"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-json\/wp\/v2\/comments?post=6072"}],"version-history":[{"count":0,"href":"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-json\/wp\/v2\/pages\/6072\/revisions"}],"up":[{"embeddable":true,"href":"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-json\/wp\/v2\/pages\/6065"}],"wp:attachment":[{"href":"https:\/\/math.sc.chula.ac.th\/wordpress\/wp-json\/wp\/v2\/media?parent=6072"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}