{"id":7007,"date":"2020-07-21T11:56:50","date_gmt":"2020-07-21T03:56:50","guid":{"rendered":"https:\/\/cantor.math.ntnu.edu.tw\/?page_id=7007"},"modified":"2026-03-10T16:14:26","modified_gmt":"2026-03-10T08:14:26","slug":"courses-en","status":"publish","type":"page","link":"https:\/\/cantor.math.ntnu.edu.tw\/index.php\/en\/courses-en\/","title":{"rendered":"Courses"},"content":{"rendered":"\t\t
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Undergraduated Program Courses<\/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 undergraduated 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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applicable to students accepted since the school year 2021:<\/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 types<\/th>required credits<\/th>\t\t\t\t<\/tr>\n\t\t\t<\/thead>\n\t\t\t\t\t\t

Compulsory courses<\/p><\/td>

on the common ground of the whole university: 32 credits<\/span>\n
required by the department of the Mathematics: 53 credits<\/span>\n<\/td><\/tr>

Selective courses<\/p><\/td>

required by the department of the Mathematics : 18 credits<\/span>\n
according to one's free will: 25 credits<\/br>\n<\/td><\/tr>
Total<\/td>128 credits<\/span><\/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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For those who apply for the secondary school teacher pareparation program, they have to take additional courses required by MOE (Misinstry Of Education).
There are 26 credits<\/span> totally.<\/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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Master Program Courses<\/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 Master 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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\n\t\t\t\t\t\t\t\t\tRemark: All of the courses provided by the department would be lectured in whole-English whenever it is beneficial for both international students and local students.<\/span><\/strong>\napplicable to students accepted since the school year 2008<\/strong>\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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Applicable academic year<\/th>Compulsory credits<\/th>Selective credits<\/th>Total credits
for graduation<\/th>\t\t\t\t<\/tr>\n\t\t\t<\/thead>\n\t\t\t\t\t\t
2022<\/td>Mathematics section 15 credits<\/span>\n
Mathematics education section 7credits<\/span>\n
Statistics section 3 credits<\/span>\n<\/td>		Selective courses for the Mathematics education section: \n
Each student has to take at least 6 credits<\/span> in any
two different course domains before they graduate.<\/td>		27<\/span><\/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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1. Required curses for the whole department: At least 3 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
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2. Required curses for the Mathematics section<\/span>: At least 12 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>Total Credit<\/th>Note<\/th>\t\t\t\t<\/tr>\n\t\t\t<\/thead>\n\t\t\t\t\t\t
Real Analysis (I) (II) <\/td>MAC0087, MAC0088 <\/td>6<\/td><\/td><\/tr>
Modern Algebra (I) (II)<\/td>MAC0093, MAC0094<\/td>6<\/td><\/td><\/tr>
Complex Analysis (I) (II) <\/td>MAC0089, MAC0090 <\/td>6<\/td><\/td><\/tr>
Introduction to Partial Differential Equations (I) (II)<\/td>MAC0132, MAC0133<\/td>6<\/td><\/td><\/tr>
Riemannian Geometry (I) (II)<\/td>MAC7001, MAC7002<\/td>6<\/td><\/td><\/tr>
Combinatorics (I) (II) <\/td>MAC0015, MAC0016<\/td>6<\/td><\/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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Each student has to take the course Real Analysis (I) (II) or Modern algebra (I) (II)\u00a0<\/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. Required curses for the Mathematics education section<\/span>: 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
MAM0097<\/td>Topics in Mathematics Education Research (I)<\/td>2<\/td> <\/td><\/tr>
MAM0098<\/td>Topics in Mathematics Education Research (II)<\/td>2<\/td> <\/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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4. Selective courses for the Mathematics education section<\/span>:<\/span><\/strong><\/p>

Each student has to take at least 6 credits in any two different course domains before they graduate (The 6 credits cannot consist of two courses of level (I))<\/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 Courses<\/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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Applicable academic year<\/th>Compulsory credits<\/th>Selective credits<\/th>Total credits
for graduation<\/th>\t\t\t\t<\/tr>\n\t\t\t<\/thead>\n\t\t\t\t\t\t
2020<\/td>4<\/span><\/td>18<\/span><\/td>22<\/span><\/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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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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COURSES TAUGHT IN ENGLISH<\/h2>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t
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\n\t\t\t\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
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COURSES TAUGHT IN ENGLISH FOR FALL SEMESTER 2025<\/th>\t\t\t\t<\/tr>\n\t\t\t<\/thead>\n\t\t\t\t\t\t
Course-Level<\/strong><\/td>Course Name<\/td>Credit<\/td>Time<\/td>Instructor<\/td><\/tr>
BA<\/td>Calculus B (I)<\/span><\/a><\/td>3<\/td>Mon. 6-7 , Thur. 6<\/td>Daniel Spector<\/td><\/tr>
BA<\/td>English Language of Mathematics Teaching<\/span><\/a><\/td>2<\/td>Fri. 9-10<\/td>CHU, Chi-Tai<\/td><\/tr>
BA\/MA<\/td>Problem-Solving in Mathematical Teaching (I) (IB)<\/span><\/a><\/td>3<\/td>Mon. 2-4<\/td>EU, Sen-Peng<\/td><\/tr>
BA\/MA<\/td>History of Mathematics (IB)<\/span><\/a><\/td>3<\/td>Fri. 6-8<\/td>CHANG, Ping-Ying<\/td><\/tr>
BA\/MA<\/td>Regression Analysis (IB)<\/span><\/a><\/td>3<\/td>Thur. 6-8<\/td>LU,Tsui-Shan<\/td><\/tr>
BA\/MA<\/td>Computational Conformal Geometry (I)<\/span><\/a><\/td>3<\/td>Fri. 6-8<\/td>YUEH, Mei-Heng<\/td><\/tr>
BA\/MA<\/td>Real Analysis (I)<\/span><\/a><\/td>3<\/td>Fri. 6-8<\/td>CHERN, Jann-Long<\/td><\/tr>
MA\/PhD<\/td>Trend of Mathematics Research<\/span><\/a><\/td>1<\/td>Wed. 7<\/td>Ulrich Menne<\/td><\/tr>
MA\/PhD<\/td>Topics in Optimization Theory (I)<\/span><\/a><\/td>3<\/td>Tue. 6-8<\/td>CHEN, Jein-Shan<\/td><\/tr>
MA\/PhD<\/td>Geometry and Topology (II)<\/span><\/a><\/td>3<\/td>Mon. 2-4<\/td>LIN, Chun-Chi \/ KUO, Ting-Jung<\/td><\/tr>
MA\/PhD<\/td>Geometric Measure Theory(I)<\/span><\/a><\/td>3<\/td>Fri. 2-4<\/td>Ulrich Menne<\/td><\/tr>
MA\/PhD<\/td>Harmonic Analysis<\/span><\/a><\/td>3<\/td>Wed. 2-3 , Thur. 8<\/td>Daniel Spector<\/td><\/tr>
MA\/PhD<\/td>Special Topics in Analysis<\/span><\/a><\/td>3<\/td>Mon. 6-8<\/td>Myles Workman<\/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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COURSES TAUGHT IN ENGLISH FOR SPRING SEMESTER 2026<\/th>\t\t\t\t<\/tr>\n\t\t\t<\/thead>\n\t\t\t\t\t\t
Course-Level<\/strong><\/td>Course Name<\/td>Credit<\/td>Time<\/td>Instructor<\/td><\/tr>
BA<\/td>Calculus B (II)<\/span><\/a><\/td>3<\/td>Mon. 6-7 , Thur. 6<\/td>Daniel Spector<\/td><\/tr>
BA\/MA<\/td>History of Mathematics (IB)<\/span><\/a><\/td>3<\/td>Fri. 6-8<\/td>Po-Hung Liu<\/td><\/tr>
BA\/MA<\/td>Combinatorics Mathematics (IB)<\/span><\/a><\/td>3<\/td>Mon. 2-4<\/td>EU, Sen-Peng<\/td><\/tr>
BA\/MA<\/td>Computational Conformal Geometry (II)<\/span><\/a><\/td>3<\/td>Mon. 6-8<\/td>YUEH, Mei-Heng<\/td><\/tr>
BA\/MA<\/td>Real Analysis (II)<\/span><\/a><\/td>3<\/td>Thur. 2-4<\/td>CHERN, Jann-Long<\/td><\/tr>
BA\/MA<\/td>Introduction to Partial Differential Equations (II)<\/span><\/a><\/td>3<\/td>Fri. 2-4<\/td>CHERN, Jann-Long<\/td><\/tr>
MA\/PhD<\/td>Trend of Mathematics Research<\/span><\/a><\/td>1<\/td>Wed. 7<\/td>Ulrich Menne<\/td><\/tr>
MA\/PhD<\/td>Topics in Optimization Theory (II)<\/span><\/a><\/td>3<\/td>Tue. 6-8<\/td>CHEN, Jein-Shan<\/td><\/tr>
MA\/PhD<\/td>Geometric Measure Theory(II)<\/span><\/a><\/td>3<\/td>Fri. 2-4<\/td>Ulrich Menne \/ Myles Workman<\/td><\/tr>
PhD<\/td>Rethinking the Mathematics Curriculum<\/span><\/a><\/td>3<\/td>Tue. 10 , Fri. 9-10<\/td>TSO, Tai-Yih<\/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
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\u8ab2\u67b6\u67e5\u8a62 \/ Course Structure Query<\/h1>