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National Taiwan Normal University Course Outline Spring , 2026 |
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| I.Course information |
| Serial No. | 2670 | Course Level | Undergraduate / Master |
| Course Code | MAC9021 | Chinese Course Name | 計算共形幾何（二） |
| Course Name | Computational Conformal Geometry (II) | ||
| Department | Department of Mathematics | ||
| Two/one semester | 1 | Req. / Sel. | Sel. |
| Credits | 3.0 | Lecturing hours | Lecture hours: 3 |
| Teach in English | Y | Teach in National Languages | |
| Prerequisite Course | |||
| Comment | |||
| Course Description | |||
| Day & Class Period/Location | Mon. 6-8 Gongguan M310 | ||
| Curriculum Goals | Corresponding to the Departmental Core Goal | ||
| 1. Develop mathematical expertise |
College: 1-1 Equipped with professional mathematics competences 1-2 Being able to reason and induct with mathematical logic Master: 1-1 Equipped with professional mathematics competences 1-2 Being able to reason and induct with mathematical logic |
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| 2. Develop the ability to solve problems with mathematics |
College: 2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education 3-1 Being able to seek out answers with the attitudes of patience, diligence, concentration, and curiosity Master: 2-2 Possessing the competences of transferring and contextualizing theories in mathematics and mathematics education 3-1 Being able to seek out answers with the attitudes of patience, diligence, concentration, and curiosity |
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| 3. Improve abstract thinking |
College: 3-4 Having insights, intuitions, and senses of mathematics Master: 3-4 Having insights, intuitions, and senses of mathematics |
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| 4. Interpret the connections between mathematics and other disciplines from a higher perspective |
College: 1-5 Being able to use mathematics as tools to learn other subjects 1-6 Possessing the capacities to view elementary mathematics from an advanced viewpoint 2-1 Being able to communicate and express mathematically 4-3 Possessing a variety of beliefs regarding mathematics values and mathematics learning Master: 1-5 Being able to use mathematics as tools to learn other subjects 1-6 Possessing the capacities to view elementary mathematics from an advanced viewpoint 2-1 Being able to communicate and express mathematically 4-3 Possessing a variety of beliefs regarding mathematics values and mathematics learning |
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| II. General Syllabus |
| Instructor(s) | YUEH, Mei-Heng/ 樂美亨 | ||
| Schedule | |||
1. Curve Theory (two weeks) 2. Local Theory of Surface (two weeks) 3. Theories of Compact Riemann Surface (two weeks) 4. Harmonic Forms and Holomorphic Forms (two weeks) 5. Quasi-Conformal Mappings (two weeks) 6. Students' Midterm Reports (one week) 7. Discrete Three-Manifolds (two weeks) 8. Optimal Mass Transportation (two weeks) 9. Students' Final Reports (one week) |
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| Instructional Approach | |||
| Methods | Notes | ||
| Formal lecture | 講授課程。Deliver course. | ||
| Lab/Studio | 講授程式撰寫並讓學生同步實作。Deliver step-by-step programming and have students practice simultaneously. | ||
| Grading assessment | |||
| Methods | Percentage | Notes | |
| Class discussion involvement | 60 % | ||
| Presentation | 40 % | 研讀相關書籍、近期及重要相關論文。Read related books and study related classical and recent papers. | |
| Adjustment methods for students | |||
| Required and Recommended Texts/Readings with References | 1. Xianfeng David Gu, Shing-Tung Yau, Computational Conformal Geometry, Higher Education Press, 2008. |
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