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課程名稱 |
實分析一
Real Analysis (Ⅰ) |
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開課學期 |
100-1 |
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授課對象 |
理學院 數學研究所 |
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授課教師 |
夏俊雄 |
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課號 |
MATH7201 |
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課程識別碼 |
221 U2870 |
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班次 |
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學分 |
3 |
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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 |
星期一1,2(8:10~10:00)星期三3,4(10:20~12:10) |
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上課地點 |
天數102天數102 |
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備註 |
研究所基礎課。
總人數上限：60人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1001real_2011A |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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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 |
In the first semester, we focus on measure theory, Lebesgue integration theory, L^p theory and some important inequlaities. We will cover first 7 chapters of [1]. |
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課程目標 |
We aim to get students familiar with the modern analysis tools. |
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課程要求 |
The preliminary of this course is advanced calculus.
We do not meet on 9/14 and 9/19. The first meet of the class is an in-class exam of Advacned Calculus on 9/21. There will be five problem sets. This exam will be counted as 10% of the grade of this course. We will figure out a schedule of of the makeup of the missed classes when we meet on 9/26. |
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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 |
Measure and Integral: An Introduction to Real Analysis (Pure and Applied Mathematics, Richard Wheeden and Antoni Zygmund.
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參考書目 |
1. Measure and Integral: An Introduction to Real Analysis (Pure and Applied Mathematics, Richard Wheeden and Antoni Zygmund.
2. Analysis, Elliott H. Leib and Michael Loss.
3. Real and Complex Analysis, Walter Rudin.
4. Real Analysis: Modern Techniques And Their Applications, Gerald B. Folland. |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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第1週 |
9/14 |
no meeting |
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第2週 |
9/19,9/21 |
no meeting on 9/19, an in-class exam of Advanced Calculus on 9/21. |
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第7週 |
10/24,10/26 |
10/26 Exam 1 |
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第15週 |
12/19,12/21 |
Advanced Calculus Exam 2 on 12/19 ;
Real Analysis Exam 2 on 12/21 |
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第18週 |
1/09,1/11 |
1/09 Exam 3 |
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