{"id":30067,"date":"2026-10-22T17:13:19","date_gmt":"2026-10-22T09:13:19","guid":{"rendered":"https:\/\/cantor.math.ntnu.edu.tw\/?page_id=30067"},"modified":"2026-10-22T17:15:59","modified_gmt":"2026-10-22T09:15:59","slug":"ph-d-program","status":"publish","type":"page","link":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/en\/degree-programs-en\/ph-d-program\/","title":{"rendered":"Ph.D. Program"},"content":{"rendered":"\t\t
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Curriculum Framework for Postgraduate Programmes of Study<\/span>
Department of Mathematics, National Taiwan Normal University\n\n<\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Courses design<\/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
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\u00a0 For graduate programs, the aims of the Master and PhD programs of our department are to train researchers in mathematics and mathematics education, and also to train mathematics professors and lectures for universities. Those who graduate from our Master or PhD programs focus their careers in research and teaching. Due to the fact that some graduate students took courses in mathematics education in undergraduate years, they would like to go into the domain of mathematics education research. Therefore, this department was separated into mathematics section and mathematics education section since 1993, so those who want to work in mathematics education may do so. To help students in their future research and occupations, courses in our graduate programs are separated into two groups: mathematics and mathematics education. In mathematics section, courses are divided into four domains: analysis, algebra, geometry and applied mathematrics. With the domain of mathematics education, courses of the whole department are divided into a total of five domains. The domain of applied mathematics is further subdivided into five subdomains, which are differential equations, probability and statistics, computer, combinatorics and discrete mathematics, and finally optimization theory. The courses in mathematics education can also be roughly categorized in two types: mathematrics education and history of mathematics.<\/strong><\/p>

\u00a0 Besides delving into the research domain for their dissertations, this department also requires students to take at least six credits of courses that belong to another domain. When choosing which courses for professors to teach, we try to provide basic courses in each year, and for other selective course the lectures are provided according students\u2019 needs. The way to do it is to let professors of the graduate programs to fill a form about which courses they want to teach. According the regulations of the university and the department, those students who have exceptional performances can apply to be directly accepted into the PhD program in their first year of the Master\u2019s program.<\/strong><\/p>\t\t\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

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Ph.D. Program Curriculum Framework<\/span>
Department of Mathematics, National Taiwan Normal University\n\n<\/span><\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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Students in this PhD program are required to finish the following courses:<\/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
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Compulsory credits<\/th>Selective credits<\/th>Total credits
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1. Compulsory courses for the whole department: At least 4 credits before graduation<\/span><\/strong><\/p>\t\t\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

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Course Code<\/th>Course Name<\/th>Credit<\/th>Note<\/th>\t\t\t\t<\/tr>\n\t\t\t<\/thead>\n\t\t\t\t\t\t
MAC8028<\/td>Trend of Mathematics Research<\/td>1<\/td>This course must be retaken with
a passing score for 4 times<\/td>\t\t\t\t<\/tr>\n\t\t\t<\/tbody>\n\t\t<\/table>\n\t\t\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
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2. Selective courses for the whole department: 18 credits in total<\/span><\/strong><\/p>\t\t\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

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3. Qualifying Examination: Application Form,Scope,Sample Questions From Previous Exams<\/span><\/a><\/span><\/span><\/strong><\/p>

After enrollment of doctoral degree\/program, student may apply to a qualification examination of Ph.D. candidate. The examination takes place in April and October every year.<\/span><\/p>

Graduate students of Mathematics & Math. Edu. Sections should pass Qualifying examination before the end of his\/her 3rd<\/sup> academic years. If not, this student will be expelled.<\/span><\/p>

Once a doctoral student is confirmed by the Department Graduate Academic Affair Meeting that he\/she meets this Article. He\/She is considered as a Ph.D. candidate.<\/span><\/p>\t\t\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

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4. Thesis Research Proposal Examination: Application Form<\/span><\/a><\/span><\/strong><\/p>

Only after passing the qualification examination, a Doctoral student may apply for a thesis research proposal examination. The thesis research proposal examination cannot take place in the same semester of the degree examination.<\/span><\/p>

Application of thesis research proposal examination should be submitted one month before a semester ends and completed by the semester ends.<\/span><\/p>\t\t\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

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5. Presentation: <\/span>Application Form<\/span><\/span><\/a><\/strong><\/p>

A Doctoral student should give one public thesis presentation at the Department before doctoral degree examinations.<\/span><\/p>\t\t\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

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6. Doctoral degree examination: Application Form<\/span><\/span><\/a><\/span><\/strong><\/p>\t\t\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":"

Curriculum Framework for Postgraduate Programmes of Stu […]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":7930,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ocean_front_end_style_editor":"no","ocean_post_layout":"left-sidebar","ocean_both_sidebars_style":"","ocean_both_sidebars_content_width":0,"ocean_both_sidebars_sidebars_width":0,"ocean_sidebar":"ocs-sidebar-for-degree-programs","ocean_second_sidebar":"0","ocean_disable_margins":"enable","ocean_add_body_class":"","ocean_shortcode_before_top_bar":"","ocean_shortcode_after_top_bar":"","ocean_shortcode_before_header":"","ocean_shortcode_after_header":"","ocean_has_shortcode":"","ocean_shortcode_after_title":"","ocean_shortcode_before_footer_widgets":"","ocean_shortcode_after_footer_widgets":"","ocean_shortcode_before_footer_bottom":"","ocean_shortcode_after_footer_bottom":"","ocean_display_top_bar":"default","ocean_display_header":"default","ocean_header_style":"","ocean_center_header_left_menu":"0","ocean_custom_header_template":"0","ocean_custom_logo":0,"ocean_custom_retina_logo":0,"ocean_custom_logo_max_width":0,"ocean_custom_logo_tablet_max_width":0,"ocean_custom_logo_mobile_max_width":0,"ocean_custom_logo_max_height":0,"ocean_custom_logo_tablet_max_height":0,"ocean_custom_logo_mobile_max_height":0,"ocean_header_custom_menu":"0","ocean_menu_typo_font_family":"0","ocean_menu_typo_font_subset":"","ocean_menu_typo_font_size":0,"ocean_menu_typo_font_size_tablet":0,"ocean_menu_typo_font_size_mobile":0,"ocean_menu_typo_font_size_unit":"px","ocean_menu_typo_font_weight":"","ocean_menu_typo_font_weight_tablet":"","ocean_menu_typo_font_weight_mobile":"","ocean_menu_typo_transform":"","ocean_menu_typo_transform_tablet":"","ocean_menu_typo_transform_mobile":"","ocean_menu_typo_line_height":0,"ocean_menu_typo_line_height_tablet":0,"ocean_menu_typo_line_height_mobile":0,"ocean_menu_typo_line_height_unit":"","ocean_menu_typo_spacing":0,"ocean_menu_typo_spacing_tablet":0,"ocean_menu_typo_spacing_mobile":0,"ocean_menu_typo_spacing_unit":"","ocean_menu_link_color":"","ocean_menu_link_color_hover":"","ocean_menu_link_color_active":"","ocean_menu_link_background":"","ocean_menu_link_hover_background":"","ocean_menu_link_active_background":"","ocean_menu_social_links_bg":"","ocean_menu_social_hover_links_bg":"","ocean_menu_social_links_color":"","ocean_menu_social_hover_links_color":"","ocean_disable_title":"default","ocean_disable_heading":"default","ocean_post_title":"","ocean_post_subheading":"","ocean_post_title_style":"","ocean_post_title_background_color":"","ocean_post_title_background":0,"ocean_post_title_bg_image_position":"","ocean_post_title_bg_image_attachment":"","ocean_post_title_bg_image_repeat":"","ocean_post_title_bg_image_size":"","ocean_post_title_height":0,"ocean_post_title_bg_overlay":0.5,"ocean_post_title_bg_overlay_color":"","ocean_disable_breadcrumbs":"default","ocean_breadcrumbs_color":"","ocean_breadcrumbs_separator_color":"","ocean_breadcrumbs_links_color":"","ocean_breadcrumbs_links_hover_color":"","ocean_display_footer_widgets":"default","ocean_display_footer_bottom":"default","ocean_custom_footer_template":"0","footnotes":""},"class_list":["post-30067","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages\/30067","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/comments?post=30067"}],"version-history":[{"count":4,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages\/30067\/revisions"}],"predecessor-version":[{"id":30071,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages\/30067\/revisions\/30071"}],"up":[{"embeddable":true,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages\/7930"}],"wp:attachment":[{"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/media?parent=30067"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}