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課程名稱 |
複分析
Complex Analysis (Honor Program) |
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開課學期 |
112-1 |
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授課對象 |
理學院 數學系 |
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授課教師 |
蔡忠潤 |
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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304天數304 |
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備註 |
此課程研究生選修不算學分。
限學士班學生 且 限學士班二年級以上
總人數上限：27人 |
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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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為確保您我的權利,請尊重智慧財產權及不得非法影印
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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.
In this course, we shall cover the basic theory of analytic function, globally defined (over the whole complex plane) analytic functions, and the theory in the viewpoint of maps between domains of the complex plane. |
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課程目標 |
Understand the concept of complex analyticity, to use residue calculus for evaluation of integrals, to understand conformal mappings, as well as some additional topics. |
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課程要求 |
須修過微積分和分析導論且成績在B+以上 |
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預期每週課後學習時數 |
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Office Hours |
每週一 14:00~15:00 |
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指定閱讀 |
T. Gamelin, Complex Analysis
(It can be downloaded with NTU IP. https://link.springer.com/book/10.1007/978-0-387-21607-2#author-0-0) |
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參考書目 |
L. Ahlfors, Complex analysis |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
Homework |
30% |
You have two jokers: the lowest two grades will be discarded.
Each homework set will be graded by (A+), A, B, C. |
2. |
Midterm |
35% |
October 26 |
3. |
Final |
35% |
December 21 |
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