課程名稱 |
分析一 Analysis(Honor Program)(Ⅰ) |
開課學期 |
111-1 |
授課對象 |
理學院 數學系 |
授課教師 |
沈俊嚴 |
課號 |
MATH5232 |
課程識別碼 |
221 U6540 |
班次 |
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學分 |
5.0 |
全/半年 |
半年 |
必/選修 |
選修 |
上課時間 |
星期二2,3,4(9:10~12:10)星期四3,4(10:20~12:10) |
上課地點 |
天數102天數102 |
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:60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 |
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 |
Mathematical analysis is a fundamental course that aims to provide us advanced theorems and prepare us writing rigorous mathematical theorems. The main contents of this course in the first semester will cover most of the materials in the textbook. The contents in the second semester will first cover some basic Lebesgue theory. After that, we will study some selected advanced analysis topics such as Fourier analysis and its connections and applications to geometric combinatorics and number theory. |
課程目標 |
Develop abstract and logical thinking
Write rigorous mathematical statements and proofs |
課程要求 |
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預期每週課後學習時數 |
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Office Hours |
另約時間 |
指定閱讀 |
Real Mathematical Analysis by Charles C. Pugh (It can be downloaded with NTU IP) |
參考書目 |
Real Analysis by E. Stein and R. Shakarchi |
評量方式 (僅供參考) |
No. |
項目 |
百分比 |
說明 |
1. |
Midterm exam |
25% |
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2. |
Final exam |
35% |
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3. |
Homework |
40% |
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