{"id":24036,"date":"2025-07-23T10:03:16","date_gmt":"2025-07-23T02:03:16","guid":{"rendered":"https:\/\/cantor.math.ntnu.edu.tw\/?page_id=24036"},"modified":"2025-07-23T12:26:31","modified_gmt":"2025-07-23T04:26:31","slug":"scientific-computation","status":"publish","type":"page","link":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/en\/courses-en\/scientific-computation\/","title":{"rendered":"Scientific Computation"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"24036\" class=\"elementor elementor-24036\">\n\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-bce33a5 elementor-section-height-min-height elementor-section-boxed elementor-section-height-default elementor-section-items-middle\" data-id=\"bce33a5\" data-element_type=\"section\" data-e-type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\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-3862fe0\" data-id=\"3862fe0\" data-element_type=\"column\" data-e-type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\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-ba54b07 elementor-widget elementor-widget-spacer\" data-id=\"ba54b07\" 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-171ef12 elementor-widget elementor-widget-heading\" data-id=\"171ef12\" 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\">Credit Program of Scientific Computation<\/h3>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-da0d41e elementor-widget elementor-widget-spacer\" data-id=\"da0d41e\" 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-8989068 elementor-tabs-view-horizontal elementor-widget elementor-widget-tabs\" data-id=\"8989068\" 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-1441\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"true\" data-tab=\"1\" role=\"tab\" tabindex=\"0\" aria-controls=\"elementor-tab-content-1441\" aria-expanded=\"false\">Background<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1442\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"2\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1442\" aria-expanded=\"false\">Collaboration Framework<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1443\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"3\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1443\" aria-expanded=\"false\">Implementation Guidelines<\/div>\n\t\t\t\t\t\t\t\t\t<div id=\"elementor-tab-title-1444\" class=\"elementor-tab-title elementor-tab-desktop-title\" aria-selected=\"false\" data-tab=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1444\" aria-expanded=\"false\">Program Structure<\/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-1441\" aria-expanded=\"false\">Background<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1441\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"1\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1441\" tabindex=\"0\" hidden=\"false\"><p style=\"color: white;\">\u3000\u3000With the rise of AI and big data in many industries, the world now needs more people who are good at math and statistics than ever before. From social media to finance, companies are looking for top math talent. To follow this trend, National Taiwan Normal University (NTNU) has started the Scientific Computing Program, led by the Department of Mathematics.<\/p>\n<p style=\"color: white;\">\u3000\u3000Scientific computing is a method that combines science and technology. It uses both math and computers to solve real-world problems. The goal of this program is to train people who can use scientific computing in different fields, and to support learning across different areas. Based on knowledge in both math and computers, this program helps students build two main skills: using math ideas in computer programs, and writing programs to solve math problems.<\/p>\n<p style=\"color: white;\">\u3000\u3000Students can take courses in scientific computing and related subjects, such as scientific computing, symbolic computation, image science, and algorithms. After finishing the program, students will have the skills, knowledge, and experience needed to work in jobs related to scientific computing.<\/p>\n<img decoding=\"async\" class=\"alignnone wp-image-5709 size-full\" style=\"margin: 30px auto;\" src=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/03\/schedule.png\" alt=\"\" width=\"90%\" srcset=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/03\/schedule.png 1130w, https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/03\/schedule-300x57.png 300w, https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/03\/schedule-768x145.png 768w, https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/03\/schedule-1024x193.png 1024w\" sizes=\"(max-width: 1130px) 100vw, 1130px\" \/>\n<div style=\"display: flex; flex-wrap: wrap; flex-direction: row;\">\n<div style=\"width: 21%; margin: 0 2%;\">\n<h3 style=\"color: #00a4e3;\">Planning and Vision<\/h3>\n<h5 style=\"color: white;\">By observing future trends and drawing on the strengths of current faculty and industry experts, we designed courses that offer the most value to the younger generation.<\/h5>\n<\/div>\n<div style=\"width: 21%; margin: 0 2%;\">\n<h3 style=\"color: #00a4e3;\">Discussion and Trial<\/h3>\n<h5 style=\"color: white;\">We developed courses in the four main areas of scientific computing, held discussions with industry professionals, and trialed selected courses to gather valuable insights from teaching practices and student feedback.<\/h5>\n<\/div>\n<div style=\"width: 21%; margin: 0 2%;\">\n<h3 style=\"color: #00a4e3;\">Adjustment and Development<\/h3>\n<h5 style=\"color: white;\">We reached a consensus among teachers, students, and industry partners, and adjusted the courses to better meet everyone\u2019s needs. We also built supportive learning measures within the university.<\/h5>\n<\/div>\n<div style=\"width: 21%; margin: 0 2%;\">\n<h3 style=\"color: #00a4e3;\">Operation and Innovation<\/h3>\n<h5 style=\"color: white;\">We aim to train students to become professionals needed by tech companies. The program continues to improve and innovate, staying connected to the future.<\/h5>\n<\/div>\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-1442\" aria-expanded=\"false\">Collaboration Framework<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1442\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"2\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1442\" tabindex=\"0\" hidden=\"hidden\"><div class=\"elementor-container\">\n<div class=\"elementor-element elementor-element-05333e3 elementor-column elementor-col-40 elementor-top-column\" data-id=\"05333e3\" data-element_type=\"column\">\n<div class=\"elementor-column-wrap elementor-element-populated\">\n<div class=\"elementor-widget-wrap\">\n<div class=\"elementor-element elementor-element-b688224 elementor-widget elementor-widget-heading\" data-id=\"b688224\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n<div class=\"elementor-widget-container\" style=\"margin-left: 10%;\">\n<p style=\"color: white; font-size: 14pt; margin: 30px;\">Industry proposes talent needs and collaborates with universities by offering practical experience and professional consultation. Industry experts are invited to give talks on campus, broadening students&#8217; horizons.<\/p>\n<p style=\"color: white; font-size: 14pt; margin: 30px;\">Faculty members integrate theory with industry practices, cultivating students&#8217; mathematical competence and enabling them to approach real-world challenges from a high-level mathematical perspective and solve problems using the knowledge acquired in class.<\/p>\n<p style=\"color: white; font-size: 14pt; margin: 30px;\">After completing the courses, students are capable of taking on responsibilities in the industry. They can analyze and organize practical problems with mathematical thinking, becoming mathematics professionals who meet industry demands amid future technological trends.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"elementor-element elementor-element-2084c85 elementor-column elementor-col-60 elementor-top-column\" data-id=\"2084c85\" data-element_type=\"column\">\n<div class=\"elementor-column-wrap elementor-element-populated\">\n<div class=\"elementor-widget-wrap\">\n<div class=\"elementor-element elementor-element-a001834 elementor-widget elementor-widget-heading\" data-id=\"a001834\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n<div class=\"elementor-widget-container\"><img decoding=\"async\" class=\"alignnone size-medium wp-image-5707\" src=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2025\/07\/cop_en.png\" alt=\"\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\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-1443\" aria-expanded=\"false\">Implementation Guidelines<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1443\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"3\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1443\" tabindex=\"0\" hidden=\"hidden\"><p align=\"center\"><span style=\"color: #ffffff;\"><strong>Guidelines for the Scientific Computing Credit Program at National Taiwan Normal University<\/strong><\/span><\/p>\n<p align=\"right\"><span style=\"color: #ffffff;\">Approved at the 1st Academic Affairs Meeting of the 2019 Academic Year on October 30, 2019<\/span><\/p>\n<p align=\"right\"><span style=\"color: #ffffff;\">Approved at the 1st Academic Affairs Meeting of the 2023 Academic Year on November 1, 2023<\/span><\/p>\n<div style=\"color: #ffffff;\">1. In order to cultivate professionals in scientific computing applications across various fields, National Taiwan Normal University (hereinafter referred to as &#8220;the University&#8221;) has established the *Scientific Computing Credit Program* (hereinafter referred to as &#8220;the Program&#8221;) in accordance with the University\u2019s regulations on the establishment of credit programs. The Department of Mathematics is the administering unit of the Program.<\/div>\n\n<div style=\"color: #ffffff;\">2. Students must complete at least 12 credits to fulfill the Program requirements, which include 6 required credits and 6 elective credits. Detailed course information can be found in the \u201cScientific Computing Credit Program Course List.\u201d<\/div>\n\n<div style=\"color: #ffffff;\">3. Courses that students have previously completed and passed, which are the same as or similar to those in the Program, may be recognized upon review and approval by the administering unit.<\/div>\n\n<div style=\"color: #ffffff;\">4. The Program adopts a certification system. Upon completing all required courses and credits, students may apply for a certificate of completion from the Office of Academic Affairs by submitting their complete transcript for verification by the administering unit.<\/div>\n\n<div style=\"color: #ffffff;\">5. Matters not specified in these Guidelines shall be handled in accordance with relevant laws and regulations.<\/div>\n\n<div style=\"color: #ffffff;\">6. These Guidelines shall be implemented upon approval by the Academic Affairs Meeting; the same applies to any amendments.<\/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=\"4\" role=\"tab\" tabindex=\"-1\" aria-controls=\"elementor-tab-content-1444\" aria-expanded=\"false\">Program Structure<\/div>\n\t\t\t\t\t<div id=\"elementor-tab-content-1444\" class=\"elementor-tab-content elementor-clearfix\" data-tab=\"4\" role=\"tabpanel\" aria-labelledby=\"elementor-tab-title-1444\" tabindex=\"0\" hidden=\"hidden\"><style><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\">&#65279;<\/span><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\">&#65279;<\/span><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\">&#65279;<\/span><span data-mce-type=\"bookmark\" style=\"display: inline-block; width: 0px; overflow: hidden; line-height: 0;\" class=\"mce_SELRES_start\">&#65279;<\/span>table {border:1px white solid} table td {border:1px solid white}<\/style>\n<div style=\"position: relative; flex-direction: column; display: flex; padding: 20px 10px; flex-wrap: wrap;\">\n\n<img decoding=\"async\" class=\"aligncenter\" style=\"height: auto; width: 350px; margin-top: 100px; margin-bottom: 50px;\" src=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2025\/06\/partition_new.png\" alt=\"\" \/>\n<div class=\"flexline\" style=\"position: absolute; left: 0; width: 42%; top: 0;\"><!--h1 style=\"color: white; text-align: left; width: 80%; margin: 0px auto 0px;\">\u7b26\u865f\u8a08\u7b97<\/h1-->\n<h1 style=\"color: white; text-align: left; width: 80%; margin: 5px auto 5px;\">Symbolic Computations<\/h1>\n<img decoding=\"async\" style=\"position: absolute; right: 0%; width: 95%;\" src=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2025\/06\/line2.png\" alt=\"\" \/>\n<h5 style=\"color: white; text-align: left; width: 75%; margin-left: 10%;\">Combining number theory, algebra, and program design, focusing on solving practical problems using mathematical and algebraic algorithms, and exploring modern cryptographic issues.<\/h5>\n<\/div>\n<div class=\"flexline\" style=\"position: absolute; right: 5%; width: 40%; top: 270px;\">\n<!--h1 style=\"color: white; text-align: left; width: 77%; margin: 5px auto 5px 23%;\">\u79d1\u5b78\u8a08\u7b97<\/h1-->\n<h1 style=\"color: white; text-align: left; width: 77%; margin: 5px auto 5px 23%;\">Scientific Computation<\/h1>\n<img decoding=\"async\" style=\"position: absolute; left: 0; top: 20px; width: 90%; -moz-transform: scaleY(-1); -webkit-transform: scaleY(-1); -o-transform: scaleY(-1); transform: scaleY(-1);\" src=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/07\/line.png\" alt=\"\" \/>\n<h5 style=\"color: white; text-align: left; width: 77%; margin-left: 23%;\">Combining traditional linear algebra and numerical analysis with programming, this course cultivates the ability to perform large-scale matrix computations.<\/h5>\n<\/div>\n<div class=\"flexline\" style=\"position: absolute; width: 40%; top: 150px;\"><!--h1 style=\"color: white; text-align: left; width: 70%; margin: 5px 28% 5px auto;\">\u5f71\u50cf\u79d1\u5b78<\/h1-->\n<h1 style=\"color: white; text-align: left; width: 70%; margin: 5px 28% 5px auto;\">Imaging Science<\/h1>\n<img decoding=\"async\" style=\"position: absolute; left: 5%; width: 75%; -moz-transform: scaleX(-1); -webkit-transform: scaleX(-1); -o-transform: scaleX(-1); transform: scaleX(-1);\" src=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/07\/line.png\" alt=\"\" \/>\n<h5 style=\"color: white; text-align: left; width: 70%; margin-left: 2%;\">Starting from perspectives such as linear algebra and differential geometry, this course interprets the construction and computation of computer graphics and image animation using modern theoretical tools.<\/h5>\n<\/div>\n<div class=\"flexline\" style=\"position: absolute; width: 45%; top: 340px; left: 5%;\"><!--h1 style=\"color: white; text-align: left; width: 75%; margin: 5px 25% 5px auto;\">\u6f14\u7b97\u6cd5<\/h1-->\n<h1 style=\"color: white; text-align: left; width: 75%; margin: 5px 25% 5px auto;\">Algorithm<\/h1>\n<img decoding=\"async\" style=\"position: absolute; right: 10%; top: 18px; width: 90%; transform: rotate(0.5turn);\" src=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/07\/line.png\" alt=\"\" \/>\n<h5 style=\"color: white; text-align: left; width: 75%; margin-right: 25%;\">Introducing classic mathematical puzzles and logic problems from history and literature. With educational resources in our department, we explore algorithm design and introduce AI topics.<\/h5>\n<h5><\/h5>\n<\/div>\n<div class=\"flexline\" style=\"position: absolute; right: 0; width: 38%; top: 0;\"><!--h1 style=\"color: white; text-align: left; width: 77%; margin: 5px auto 5px 23%;\">\u6578\u64da\u79d1\u5b78<\/h1-->\n<h1 style=\"color: white; text-align: left; width: 77%; margin: 5px auto 5px 23%;\">Data Science<\/h1>\n<img decoding=\"async\" style=\"position: absolute; left: 10px; top: 110px; width: 85%;\" src=\"https:\/\/cantor.math.ntnu.edu.tw\/wp-content\/uploads\/2020\/07\/line.png\" alt=\"\" \/><\/h1>\n<h5 style=\"color: white; text-align: left; width: 77%; margin-left: 23%;\">Integrating scientific computation, numerical optimization, and statistical methods to develop the ability for data analysis and modeling.<\/h5>\n<\/div>\n<div style=\"display: block; margin-top: 100px;\">\n<h1 style=\"color: white; line-height: 1.8rem; margin: 0 0 30px 0;\">\u2605 It is recommended that students complete &#8220;Linear Algebra (I)&#8221; and &#8220;Linear Algebra (II)&#8221; offered by this department before enrolling in this program.<\/h1>\n<p style=\"color: white;\" align=\"center\"><strong>Scientific Computing Credit Program, Course Requirements, National Taiwan Normal University<\/strong><\/p>\n<p style=\"color: white;\" align=\"right\">Approved by the 1st University Curriculum Committee of Academic Year 2019, October 30, 2019<\/p>\n<p style=\"color: white;\" align=\"right\">Approved by the 1st University Curriculum Committee of Academic Year 2022, November 2, 2022<\/p>\n<p style=\"color: white;\" align=\"right\">Approved by the 1st University Curriculum Committee of Academic Year 2023, November 1, 2023<\/p>\n<p style=\"color: white;\">I. Required Courses: 6 credits total<\/p>\n\n<div align=\"center\">\n<table border=\"1\" width=\"100%\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">Course Code<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Course Name<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">Credits<\/p>\n<\/td>\n<td width=\"22%\">\n<p style=\"color: white;\" align=\"center\">Offering Department<\/p>\n<\/td>\n<td width=\"38%\">\n<p style=\"color: white;\" align=\"center\">Remarks<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">MAU0032<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\">Computer Programming<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"22%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"40%\">\n<p style=\"color: white;\">Department of Electrical Engineering AEU0013 Computer Programming<\/p>\n<p style=\"color: white;\">Department of Mechatronic Engineering MTU0012 Computer Programming<\/p>\n<p style=\"color: white;\">Department of Industrial Education IEU0119 Computer Programming<\/p>\n<p style=\"color: white;\">Undergraduate Program of Vehicle and Energy Engineering VEU0017 Computer Programming<\/p>\n<p style=\"color: white;\">Department of Computer Science and Information Engineering CSU0001 Computer Programming (I)<\/p>\n<p style=\"color: white;\">Undergraduate Program of Learning Sciences LSU0001 Programming (I)<\/p>\n<p style=\"color: white;\">Department of Technology Application and Human Resource Development ITU0127 Programming Language<\/p>\n<p style=\"color: white;\">The above courses may be recognized as equivalent to this course.<\/p>\n<p style=\"color: white;\">For other programming-related courses, please contact the Department of Mathematics office directly.<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">MAC9029<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\">Introduction to Scientific Computation<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"22%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"40%\">\n<p style=\"color: white;\">Numerical Analysis may be recognized as equivalent to this course.<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p style=\"color: white;\">2. Elective Courses: Minimum 6 credits required<\/p>\n\n<div align=\"center\">\n<table border=\"1\" cellspacing=\"0\" cellpadding=\"0\">\n<tbody>\n<tr>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">Field<\/p>\n<\/td>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">Course Code<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Course Name<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">Credits<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Offering Department<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Remarks<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td rowspan=\"3\" width=\"10%\">\n<p style=\"color: white;\" align=\"center\">Symbolic Computations<\/p>\n<\/td>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9016<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Cryptography<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9017<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Cryptography<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9018<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Computational Number Theory and Algebra<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td rowspan=\"3\" width=\"10%\">\n<p style=\"color: white;\" align=\"center\">High-Performance Computing<\/p>\n<\/td>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9030<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Special Topics on Scientific Computation<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9035<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Matrix Computation (I)<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9044<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Quantum Computation and Quantum Information (I)\n<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td rowspan=\"5\" width=\"10%\">\n<p style=\"color: white;\" align=\"center\">Imaging Science<\/p>\n<\/td>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9020<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Computational Conformal Geometry (I)<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9021<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Computational Conformal Geometry (II)<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9022<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Image Processing and Analysis (I)<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9023<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Image Processing and Analysis (II)<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9024<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Mathematics of Motion and Deformation in Computer Graphics<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td rowspan=\"2\" width=\"10%\">\n<p style=\"color: white;\" align=\"center\">Algorithm<\/p>\n<\/td>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9019<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Mathematical Games and Algorithms<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9031<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Combinatorial Designs<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td rowspan=\"4\" width=\"10%\">\n<p style=\"color: white;\" align=\"center\">Data Science<\/p>\n<\/td>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9048<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Scientific Computing in Data Science<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC9049<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Numerical Optimization in Data Science<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC0117<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Statistical Computing (I)<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Undergraduate and Graduate Course<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"14%\">\n<p style=\"color: white;\" align=\"center\">MAC8021<\/p>\n<\/td>\n<td width=\"39%\">\n<p style=\"color: white;\" align=\"center\">Cluster Analysis (I)<\/p>\n<\/td>\n<td width=\"10%\">\n<p style=\"color: white;\" align=\"center\">3<\/p>\n<\/td>\n<td width=\"9%\">\n<p style=\"color: white;\" align=\"center\">Department of Mathematics<\/p>\n<\/td>\n<td width=\"18%\">\n<p style=\"color: white;\" align=\"center\">Combined Master&#8217;s and Doctoral Course<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<\/div>\n<\/div><\/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>Credit Program of Scientific Computation Background Col [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"parent":7007,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"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-course","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-24036","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages\/24036","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=24036"}],"version-history":[{"count":37,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages\/24036\/revisions"}],"predecessor-version":[{"id":24084,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages\/24036\/revisions\/24084"}],"up":[{"embeddable":true,"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/pages\/7007"}],"wp:attachment":[{"href":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/wp-json\/wp\/v2\/media?parent=24036"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}