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課程名稱 |
幾何學導論
Introduction to Geometry |
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開課學期 |
106-1 |
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授課對象 |
理學院 數學系 |
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授課教師 |
蕭欽玉 |
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課號 |
MATH5356 |
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課程識別碼 |
221 U6580 |
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班次 |
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學分 |
4.0 |
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全/半年 |
半年 |
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必/選修 |
必修 |
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上課時間 |
星期三6,7(13:20~15:10)星期五6,7(13:20~15:10) |
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上課地點 |
新505新505 |
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備註 |
此課程研究生選修不算學分。
限學士班學生
總人數上限：100人
外系人數限制：30人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1061MATH5356 |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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課程大綱
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課程概述 |
This course is an introduction to the local and global geometry of curves and surfaces.
In this course, we will apply tools of multivariable and vector calculus to study geometric properties of curves and surfaces in 3-dimensional space. Our course will focus on the concept of "curvature", "surface" and the interplay between them. |
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課程目標 |
We will cover the following three topics
1. Local and global geometry of plane curves
2. Local geometry of surfaces
3. Global geometry of surfaces
If time permits, we will also discuss the application of geometrical ideas in data science or other applied areas.
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課程要求 |
1. You are expected to turn in homework regularly.
2. You are expected to understand the proof and the application of the Theorem presented in this class.
3. You are expected to think a lot and discuss the topics with classmates and instructor. |
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預期每週課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
J. Oprea, Di erential Geometry and its Applications, 2nd edition, 2007. |
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評量方式
(僅供參考) |
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