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課程名稱 |
複分析
Complex Analysis (Honor Program) |
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開課學期 |
107-1 |
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授課對象 |
理學院 數學系 |
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授課教師 |
楊一帆 |
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課號 |
MATH5231 |
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課程識別碼 |
221 U6570 |
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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 |
選修 |
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上課時間 |
星期二6,7(13:20~15:10)星期四6,7(13:20~15:10) |
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上課地點 |
天數305天數305 |
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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：40人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1071MATH5231_ |
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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 |
Complex function theory is a valuable tool used in many branches of pure, applied mathematics and natural sciences, including geometry, number theory, ordinary differential equations, partial differential equations and various topics in physics and engineering. |
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課程目標 |
The course will equip the students the concept of complex analyticity, the residue calculus for evaluations of integrals, conformal mappings, and some additional topics such as Riemann mapping theorem, special/elliptic functions, prime number theorem, complex dynamical systems and etc. |
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課程要求 |
Undergraduate calculus and analysis. |
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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 |
待補 |
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參考書目 |
1. Ahlfors, Complex analysis
2. Stein and Shakarchi, Complex analysis
3. Gamelin, Complex analysis |
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評量方式
(僅供參考) |
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