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National Taiwan Normal University Course Outline Fall , 2026 |
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| I.Course information |
| Serial No. | 2669 | Course Level | Master / PhD |
| Course Code | MAC8028 | Chinese Course Name | 數學研究趨勢 |
| Course Name | Trend of Mathematics Research | ||
| Department | Department of Mathematics | ||
| Two/one semester | 1 | Req. / Sel. | Req. |
| Credits | 1.0 | Lecturing hours | Lecture hours: 1 |
| Teach in English | Y | Teach in National Languages | |
| Prerequisite Course | The course can be retaken ◎1. This is a cross-level course and is available for junior and senior undergraduate students, master's students and PhD students. 2. If the listed course is a doctroal level course, it is only available for master's students and PhD students. | ||
| Comment | |||
| Course Description | |||
| Day & Class Period/Location | Wed. 7 Gongguan M212 | ||
| Curriculum Goals | Corresponding to the Departmental Core Goal | ||
| 1. Actively engage students in exploring the latest developments in all branches of mathematics |
Master: 1-1 Equipped with professional mathematics competences 1-2 Being able to reason and induct with mathematical logic 1-3 Being able to think mathematically and critically 1-4 Possessing the abilities to propose and solve questions in advanced mathematics 1-5 Being able to use mathematics as tools to learn other subjects 2-1 Being able to communicate and express mathematically 2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education 3-5 Having good taste for mathematics 4-1 Being knowledgeable and being able to self-develop in the profession 4-2 Possessing a consistent and firm attitude toward pursuing truths 4-4 Possessing global views from both scientific and humanistic perspectives, and being able to appreciate the values of other knowledge fields Doctor: 1-1 Equipped with professional mathematics competences 1-2 Being able to reason and induct with mathematical logic 1-3 Being able to think mathematically and critically 1-4 Possessing the abilities to propose and solve questions in advanced mathematics 1-5 Being able to use mathematics as tools to learn other subjects 2-1 Being able to communicate and express mathematically 2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education 3-5 Having good taste for mathematics 4-1 Being knowledgeable and being able to self-develop in the profession 4-2 Possessing a consistent and firm attitude toward pursuing truths 4-4 Possessing global views from both scientific and humanistic perspectives, and being able to appreciate the values of other knowledge fields |
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| 2. Expand the depth and breadth of students' knowledge of mathematics |
Master: 1-1 Equipped with professional mathematics competences 1-2 Being able to reason and induct with mathematical logic 1-3 Being able to think mathematically and critically 1-4 Possessing the abilities to propose and solve questions in advanced mathematics 1-5 Being able to use mathematics as tools to learn other subjects 2-1 Being able to communicate and express mathematically 2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education 3-5 Having good taste for mathematics 4-1 Being knowledgeable and being able to self-develop in the profession 4-2 Possessing a consistent and firm attitude toward pursuing truths 4-4 Possessing global views from both scientific and humanistic perspectives, and being able to appreciate the values of other knowledge fields Doctor: 1-1 Equipped with professional mathematics competences 1-2 Being able to reason and induct with mathematical logic 1-3 Being able to think mathematically and critically 1-4 Possessing the abilities to propose and solve questions in advanced mathematics 1-5 Being able to use mathematics as tools to learn other subjects 2-1 Being able to communicate and express mathematically 2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education 3-5 Having good taste for mathematics 4-1 Being knowledgeable and being able to self-develop in the profession 4-2 Possessing a consistent and firm attitude toward pursuing truths 4-4 Possessing global views from both scientific and humanistic perspectives, and being able to appreciate the values of other knowledge fields |
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| II. General Syllabus |
| Instructor(s) | Po-Hung Liu/ 劉柏宏 | ||
| Schedule | |||
The content of this course is to invite scholars to give lectures on topics related to mathematics. The purpose of this course is to require all graduate students to actively participate in the discussion of the latest developments in various branches of mathematics in order to cultivate their knowledge depth and breadth. |
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| Instructional Approach | |||
| Methods | Notes | ||
| Formal lecture | Keynote speeches by experts and scholars | ||
| Group discussion | group discussion is welcomed | ||
| Grading assessment | |||
| Methods | Percentage | Notes | |
| Class discussion involvement | 10 % | questions asked during and after talks | |
| Attendances | 50 % | There will be 13 sessions, each worth 5-7% of the grade. | |
| Presentation | 40 % | In-Class reflection notes, each worth 4-7% of the grade. | |
| other: | 10 % | volunteering to present at the midterm and final sessions earns extra points | |
| Adjustment methods for students | |||
| Items | Adjustment Methods | ||
| Teaching methods | Provide students with flexible ways of attending courses | ||
| Others | Negotiated by both teachers and students | ||
| Required and Recommended Texts/Readings with References | Provided by the speakers. |
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