{"id":5958,"date":"2020-06-17T12:47:47","date_gmt":"2020-06-17T04:47:47","guid":{"rendered":"https:\/\/cantor.math.ntnu.edu.tw\/?page_id=5958"},"modified":"2025-09-04T14:22:27","modified_gmt":"2025-09-04T06:22:27","slug":"downs-en","status":"publish","type":"page","link":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/en\/downs-en\/","title":{"rendered":"Downloads"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"5958\" class=\"elementor elementor-5958\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2fa0200e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2fa0200e\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;shape_divider_top&quot;:&quot;opacity-tilt&quot;}\">\n\t\t\t\t\t<div class=\"elementor-shape elementor-shape-top\" aria-hidden=\"true\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 2600 131.1\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M0 0L2600 0 2600 69.1 0 0z\"\/>\n\t<path class=\"elementor-shape-fill\" style=\"opacity:0.5\" d=\"M0 0L2600 0 2600 69.1 0 69.1z\"\/>\n\t<path class=\"elementor-shape-fill\" style=\"opacity:0.25\" d=\"M2600 0L0 0 0 130.1 2600 69.1z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6de0e306\" data-id=\"6de0e306\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6e406254 elementor-widget elementor-widget-spacer\" data-id=\"6e406254\" 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-21caf7a5 animated-fast elementor-widget__width-inherit elementor-invisible elementor-widget elementor-widget-heading\" data-id=\"21caf7a5\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;slideInDown&quot;,&quot;_animation_delay&quot;:0}\" 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>Downloads<\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1b86bb7b elementor-widget-divider--view-line elementor-widget elementor-widget-divider\" data-id=\"1b86bb7b\" 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\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7ef5494d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7ef5494d\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-3399c80e\" data-id=\"3399c80e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6e2114ef elementor-widget elementor-widget-heading\" data-id=\"6e2114ef\" 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\">Undergraduate<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-5dbebb0c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"5dbebb0c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-37ee4bf2\" data-id=\"37ee4bf2\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7690613a elementor-widget elementor-widget-heading\" data-id=\"7690613a\" 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><\/span>Common Forms (For MA\/PhD)<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-7812831c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"7812831c\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-29473c39\" data-id=\"29473c39\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-59cff71 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"59cff71\" 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-9411\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-9411\" aria-expanded=\"false\">Application for Research room and Locker<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9412\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9412\" aria-expanded=\"false\">Trend of Mathematics Research (Colloquium)<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9413\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9413\" aria-expanded=\"false\">Advisor<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9414\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9414\" aria-expanded=\"false\">Degree Examination<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-9415\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"5\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9415\" aria-expanded=\"false\">Department Leaving<\/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-9411\" aria-expanded=\"false\">Application for Research room and Locker<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9411\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9411\" tabindex=\"0\" hidden=\"false\"><\/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-9412\" aria-expanded=\"false\">Trend of Mathematics Research (Colloquium)<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9412\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9412\" tabindex=\"0\" hidden=\"hidden\"><blockquote><ol><li><p><em>Att<\/em><em>ending off-campus talks could redeem talks in the Depart. At most 2 times per semester.<\/em><\/p><\/li><li><p><em>Topics of off-campus talks should be Mathematics-related. Photos of attending should be attached.<\/em><\/p><\/li><li><em>Please submit reports to Mr. Huang (<a href=\"mailto:buddin@ntnu.edu.tw\">buddin@ntnu.edu.tw<\/a>) before final grades are uploaded.<\/em><\/li><\/ol><\/blockquote><ul><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/11\/18b_Postgraduate-Student-Attending-Off-campus-Talk-Report.odt\" target=\"_blank\" rel=\"noopener\">Postgraduate Student Attending Off-campus Talk\u00a0 Report<\/a><\/li><\/ul><\/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-9413\" aria-expanded=\"false\">Advisor<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9413\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9413\" tabindex=\"0\" hidden=\"hidden\"><ul><li><span style=\"font-size: 15px;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/01b_Agreement-for-Advising-for-Postgraduate-Thesis.pdf\" target=\"_blank\" rel=\"noopener\">Agreement for Advising for Postgraduate Thesis\u00a0<\/a><\/span><\/li><li><span style=\"font-size: 15px;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/02b_-Agreement-for-Co-Advising-for-Postgraduate-Thesis.pdf\" target=\"_blank\" rel=\"noopener\">Agreement for Co-Advising for Postgraduate Thesis\u00a0<\/a><\/span><\/li><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/11\/03b_Advisees-Declaration-Agreement.pdf\" target=\"_blank\" rel=\"noopener\">Advisee\u2019s Declaration &amp; Agreement<\/a><\/li><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/11\/04b_Adviser-Consent-Form-.pdf\" target=\"_blank\" rel=\"noopener\">Adviser Consent Form<\/a><\/li><\/ul><\/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-9414\" aria-expanded=\"false\">Degree Examination<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9414\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9414\" tabindex=\"0\" hidden=\"hidden\"><ul><li>Forms<ul><li>Application Form for Final Defense (download in the degree examination application system)<span style=\"color: #ff0000;\"><span style=\"color: #000000;\">\u00a0<span style=\"color: #999999;\">114.05.13 update<\/span><\/span><\/span><\/li><li>Recommendation Letter from Advisor(<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/11\/02a2_\u78a9\u535a\u58eb\u73ed\u8ad6\u6587\u6307\u5c0e\u6559\u6388\u63a8\u85a6\u66f8-Recommendation-Letter-from-Advisor.odt\" target=\"_blank\" rel=\"noopener\">ODT<\/a>)(<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/11\/02a2_\u78a9\u535a\u58eb\u73ed\u8ad6\u6587\u6307\u5c0e\u6559\u6388\u63a8\u85a6\u66f8-Recommendation-Letter-from-Advisor.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a>) <span style=\"color: #999999;\">114.05.13 update<\/span><\/li><li>Oral Examiner List of Graduate Thesis Defense(<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/04\/02a3_\u78a9\u535a\u58eb\u73ed\u53e3\u8a66\u59d4\u54e1\u8abf\u67e5\u8868-Oral-examiner-List-1.odt\">ODT<\/a>)(<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/04\/02a3_\u78a9\u535a\u58eb\u73ed\u53e3\u8a66\u59d4\u54e1\u8abf\u67e5\u8868-Oral-examiner-List-2.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a>) <span style=\"color: #999999;\">114.05.13 update<\/span><\/li><li><span style=\"color: #999999;\"><span style=\"color: #000000;\">Declaration of Academic Integrity(<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/04\/02a4_%E5%AD%B8%E4%BD%8D%E8%AB%96%E6%96%87%E5%AD%B8%E8%A1%93%E5%80%AB%E7%90%86%E8%81%B2%E6%98%8E%E6%9B%B8Declaration-of-Academic-Integrity.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a>) <span style=\"color: #999999;\">114.05.13 update<\/span><\/span><\/span><\/li><\/ul><\/li><li>Submit within three days before oral exam<ul><li><span style=\"color: #999999;\"><span style=\"color: #000000;\">The Originality Report of the Thesis <a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/04\/02a8_\u8ad6\u6587\u539f\u5275\u6027\u6bd4\u5c0d\u7cfb\u7d71\u5831\u544a\u66f8The-Originality-Report-of-the-Thesis.pdf\" target=\"_blank\" rel=\"noopener\">(PDF)<\/a> <span style=\"color: #999999;\">114.05.13 update<\/span><\/span><br \/><\/span><\/li><\/ul><\/li><li>Submit within one week after oral exam<ul><li>The Minutes of the Thesis Defense <a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/11\/02a7_\u53e3\u8a66\u8a18\u9304\u8868Minutes.odt\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #999999;\"><span style=\"color: #000000;\">(ODT)<\/span><\/span><\/a> <span style=\"color: #ff0000;\"><span style=\"color: #000000;\"><span style=\"color: #999999;\">114.05.13 update<\/span><\/span><\/span><\/li><\/ul><\/li><li>Notes<ul><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/05\/02b0_\u7814\u7a76\u751f\u5b78\u4f4d\u8ad6\u6587\u8003\u8a66\u7a0b\u5e8fProcedure.pdf\" target=\"_blank\" rel=\"noopener\">Procedure<\/a><span style=\"color: #ff0000;\"><span style=\"color: #000000;\"> <span style=\"color: #999999;\">114.05.13 update<\/span><\/span><\/span><\/li><li style=\"font-size: 15px;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/04\/\u8ad6\u6587\u5c01\u9762.pdf\" target=\"_blank\" rel=\"noopener\">Thesis cover format<\/a> <span style=\"color: #999999;\">114.05.13 update<\/span><\/li><li style=\"font-size: 15px;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/04\/\u8ad6\u6587\u88dd\u8a02\u53ca\u9801\u78bc\u683c\u5f0f-.pdf\" target=\"_blank\" rel=\"noopener\">Thesis Order and Numbering<\/a> <span style=\"color: #999999;\">114.05.13 update<\/span><\/li><li><a href=\"https:\/\/etds.lib.ntnu.edu.tw\/gs\/ntnu\/etd.htm\" target=\"_blank\" rel=\"noopener\">NTNU Thesis &amp; Dissertations Services<\/a> <span style=\"color: #999999;\">114.05.13 update<\/span><\/li><\/ul><\/li><\/ul><\/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=\"5\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-9415\" aria-expanded=\"false\">Department Leaving<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-9415\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"5\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-9415\" tabindex=\"0\" hidden=\"hidden\"><ul><li><span style=\"font-size: 15px;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/12b1_-Checklist-of-Depart.-Leaving-for-Suspension-of-study.pdf\" target=\"_blank\" rel=\"noopener\">Checklist of Depart. Leaving for Suspension of study\u00a0<\/a><\/span><\/li><li><span style=\"font-size: 15px;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/12b2_-Checklist-of-Depart.-Leaving-for-Withdrawing-from-School.pdf\" target=\"_blank\" rel=\"noopener\">Checklist of Depart. Leaving for Withdrawing from School\u00a0<\/a><\/span><\/li><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/05\/13a_\u7cfb\u6240\u7562\u696d\u96e2\u6821\u78ba\u8a8d\u55aeChecklist-of-Depart.-Leaving-for-Graduate.pdf\" target=\"_blank\" rel=\"noopener\">Checklist of Depart. Leaving for Graduate<\/a>\u00a0 <span style=\"color: #999999;\">110.05.18 Update<\/span><\/li><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/04\/02a8_\u8ad6\u6587\u539f\u5275\u6027\u6bd4\u5c0d\u7cfb\u7d71\u5831\u544a\u66f8The-Originality-Report-of-the-Thesis-1.pdf\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #999999;\"><span style=\"color: #000000;\">The Originality Report of the Thesis<\/span><\/span><\/a>\u00a0<span style=\"color: #999999;\">110.04.30 Update<\/span><\/li><\/ul><\/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\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-48d852b elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"48d852b\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1b48fee\" data-id=\"1b48fee\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0db987f elementor-widget elementor-widget-heading\" data-id=\"0db987f\" 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\">Master<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ce0551a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ce0551a\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1cad190\" data-id=\"1cad190\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-c5273b0 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"c5273b0\" 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-2061\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2061\" aria-expanded=\"false\">Academic Regulations<\/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-2061\" aria-expanded=\"false\">Academic Regulations<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2061\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2061\" tabindex=\"0\" hidden=\"false\"><ul><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2023\/02\/\u4e2d-\u82f1\u6578\u5b78\u7cfb\u78a9\u58eb\u73ed\u4fee\u696d\u898f\u5b9a.pdf\" target=\"_blank\" rel=\"noopener\">Academic Regulations for Master Program<\/a><\/li><\/ul><\/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\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-81c4d67 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"81c4d67\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-482d25e\" data-id=\"482d25e\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-759dfaa elementor-widget elementor-widget-heading\" data-id=\"759dfaa\" 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\">Doctoral<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a8fde39 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a8fde39\" data-element_type=\"section\" data-e-type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ab7c391\" data-id=\"ab7c391\" data-element_type=\"column\" data-e-type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d5be6a1 elementor-tabs-view-vertical elementor-widget elementor-widget-tabs\" data-id=\"d5be6a1\" 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-2241\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-2241\" aria-expanded=\"false\">Academic Regulations<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2242\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2242\" aria-expanded=\"false\">Qualifying Examination<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2243\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2243\" aria-expanded=\"false\">Thesis Research Proposal Examination<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-2244\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-2244\" aria-expanded=\"false\">Presentation<\/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-2241\" aria-expanded=\"false\">Academic Regulations<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2241\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2241\" tabindex=\"0\" hidden=\"false\"><ul><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2023\/02\/\u4e2d-\u82f1\u6578\u5b78\u7cfb\u78a9\u58eb\u73ed\u4fee\u696d\u898f\u5b9a.pdf\" target=\"_blank\" rel=\"noopener\">Academic Regulations for Doctoral Program<\/a><\/li><\/ul><\/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-2242\" aria-expanded=\"false\">Qualifying Examination<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2242\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2242\" tabindex=\"0\" hidden=\"hidden\"><blockquote><ul><li><span style=\"font-size: 15px; color: #003366; font-weight: normal;\">After enrollment of doctoral degree\/program, student could apply a qualification examination of Ph.D. candidate. The examinations take place in April or October every year. It should be applied one month in advance. For taking an examination in April, it should be applied by 20<sup>th<\/sup> March. For taking an examination in October, it should be applied by 20<sup>th<\/sup> September.<\/span><\/li><\/ul><\/blockquote><ul><li><strong><span style=\"font-size: 15px; color: #003366;\">Mathematics Section<\/span><\/strong><ul><li>Application Form of Qualifying Examination (<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/06b1_Math.Application-Form-of-Qualifying-Examination.odt\" target=\"_blank\" rel=\"noopener\">ODT<\/a>)(\u00a0<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/06b1_Math.Application-Form-of-Qualifying-Examination.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a><u>)<\/u><\/li><li>Scope<ul><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2025\/09\/114-\u5be6\u8b8a\u5206\u6790-Real-Analysis.pdf\" target=\"_blank\" rel=\"noopener\"><u>Real Analysis<\/u><\/a><\/li><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/a2-Modern-Algebra.pdf\" target=\"_blank\" rel=\"noopener\"><u>Modern Algebra<\/u><\/a><\/li><li style=\"font-size: 15px;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/a3-Geometry-Topology.pdf\" target=\"_blank\" rel=\"noopener\"><u>Geometry\u00a0&amp;\u00a0Topology<\/u><\/a><\/li><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/a4-Probability-Statistics.pdf\" target=\"_blank\" rel=\"noopener\"><u>Probability &amp; Statistics<\/u><\/a><\/li><li>Differential Equations (<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/a5-ODEs.pdf\" target=\"_blank\" rel=\"noopener\"><u>ODEs<\/u><\/a>\u00a0or\u00a0<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/a6-PDEs.pdf\" target=\"_blank\" rel=\"noopener\"><u>PDEs<\/u><\/a>)<\/li><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/a7-Combinatorics.pdf\" target=\"_blank\" rel=\"noopener\"><u>Combinatorics<\/u><\/a><\/li><\/ul><\/li><li>Sample Questions From Previous Exams<ul><li style=\"font-size: 15px;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2025\/08\/\u6b77\u5e74\u5be6\u8b8a\u5206\u6790113-2-1.pdf\" target=\"_blank\" rel=\"noopener\"><u>Real Analysis<\/u><\/a><\/li><li style=\"font-size: 15px;\"><span style=\"text-decoration: underline;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/03\/Previous-Exams-Geometry-and-Topology-.pdf\">Geometry<span style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; font-style: normal; font-weight: 400;\">\u00a0&amp;\u00a0<\/span>Topology<\/a><\/span><\/li><li style=\"font-size: 15px;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2025\/08\/113-2-\u8fd1\u4e16\u4ee3\u6578-1.pdf\"><u>Modern Algebra<\/u><\/a><\/li><li style=\"font-size: 15px;\">Probability &amp; Statistics<\/li><li style=\"font-size: 15px;\">Differential Equations (<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2025\/08\/113-2\u6b77\u5e74\u5e38\u5fae\u5206\u65b9\u7a0b-1.pdf\" target=\"_blank\" rel=\"noopener\"><span style=\"text-decoration: underline;\">ODEs<\/span><\/a> or\u00a0<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/03\/Previous-Exams-PDEs.pdf\"><u>PDEs<\/u><\/a>)<\/li><li style=\"font-size: 15px;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2025\/08\/113-2\u6b77\u5e74\u7d44\u5408\u5b78-1.pdf\" target=\"_blank\" rel=\"noopener\"><u>Combinatorics<\/u><\/a><\/li><li><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2024\/12\/Numerical-Analysis.pdf\" target=\"_blank\" rel=\"noopener\"><u>Numericla Analysis<\/u><\/a><\/li><li style=\"font-size: 15px;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2025\/08\/\u6b77\u5e74\u79d1\u76ee\u5206\u4f48-1.pdf\" target=\"_blank\" rel=\"noopener\"><u><i>Distribution of Previous Exams<\/i><\/u><\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><ul><li><span style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: Roboto, sans-serif; font-size: 15px; font-style: normal; font-weight: 600;\"><span style=\"font-size: 15px; color: #003366;\">Mathematics Education Section<\/span><\/span><ul><li><span style=\"font-family: Roboto, sans-serif; font-size: 15px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">Application Form of Qualifying Examination<\/span>\u00a0(<span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/06b2_Math.-Edu.Application-Form-of-Qualifying-Examination.odt\" target=\"_blank\" rel=\"noopener\">ODT<\/a>)(<\/span><span style=\"font-family: arial,;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/06b2_Math.-Edu.Application-Form-of-Qualifying-Examination.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a>)<\/span><\/li><li>Examiner List of Position Paper\u00a0<span style=\"font-family: Roboto, sans-serif; font-size: 15px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\">Examination<\/span>\u00a0(<span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/07b_Examiner-List.odt\" target=\"_blank\" rel=\"noopener\">ODT<\/a>)(<\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/07b_Examiner-List.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a>)<\/span><\/li><\/ul><\/li><\/ul><\/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-2243\" aria-expanded=\"false\">Thesis Research Proposal Examination<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2243\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2243\" tabindex=\"0\" hidden=\"hidden\"><ul><li>Application Form of Thesis Research Proposal Examination\u00a0(<span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/08b_Application-Form.odt\" target=\"_blank\" rel=\"noopener\">ODT<\/a>)(<\/span><span style=\"font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; font-style: normal; font-variant-ligatures: normal; font-variant-caps: normal; font-weight: 400;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/08b_Application-Form.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a>)<\/span><\/li><li>Examiner List of Thesis Research Proposal Examination\u00a0(<span style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; font-style: normal; font-weight: 400;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/09b_Examiner-List.odt\" target=\"_blank\" rel=\"noopener\">ODT<\/a>)(<\/span><span style=\"font-variant-ligatures: normal; font-variant-caps: normal; font-family: arial, 'Microsoft JhengHei', sans-serif; font-size: 15px; font-style: normal; font-weight: 400;\"><a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/09\/09b_Examiner-List.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a>)<\/span><\/li><\/ul><\/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-2244\" aria-expanded=\"false\">Presentation<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-2244\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-2244\" tabindex=\"0\" hidden=\"hidden\"><ul>\n \t<li>Application Form of\u00a0 the Presentation (<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/04\/19a_%E5%8D%9A%E5%A3%AB%E7%8F%AD%E8%AB%96%E6%96%87%E6%BC%94%E8%AC%9B%E7%94%B3%E8%AB%8B%E5%96%AEApplication-Form-of-the-Presentation.odt\">ODT<\/a>)(<a href=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2021\/04\/19a_%E5%8D%9A%E5%A3%AB%E7%8F%AD%E8%AB%96%E6%96%87%E6%BC%94%E8%AC%9B%E7%94%B3%E8%AB%8B%E5%96%AEApplication-Form-of-the-Presentation.pdf\" target=\"_blank\" rel=\"noopener\">PDF<\/a>)<\/li>\n<\/ul><\/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\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Downloads Undergraduate Common Forms (For MA\/PhD) Appli 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