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課程名稱 |
實分析二
Real Analysis (Ⅱ) |
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開課學期 |
99-2 |
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授課對象 |
理學院 數學系 |
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授課教師 |
夏俊雄 |
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課號 |
MATH7202 |
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課程識別碼 |
221 U2880 |
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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 |
總人數上限：50人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/992realanalysis |
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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 |
This is one of the requirements for math graduate students. This course is supposed to build up strong foundation of modern analysis for students who is going to do analysis-related research. Students from other displines are also welcome if you feel needed. |
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課程目標 |
This semester, we start with the review of differentiation theorem for BV functions. Properties of convex functions, L^p spaces, Sobolev type inequalities, Fourier series will be explored. Different kinds of measures and some basics of functional analysis will also be introduced. If time is allowed, we will also explore some basic theory of calculus of variation and applications to PDEs. |
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課程要求 |
This class only allows students who passed real analysis 1 to take. |
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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, Richard Wheeden and Antoni Zygmund
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參考書目 |
Measure and Integral: An Introduction to Real Analysis, Richard Wheeden and Antoni Zygmund
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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. |
Exam 1 |
20% |
It covers chapter 7 of the textbook.
The exam is scheduled in class on Wednesday, 2nd March. |
2. |
Exam 2 |
20% |
in class exam. Monday, 11th April |
3. |
Exam 3 |
20% |
in class exam. Monday, 16th May |
4. |
Exam 4 |
20% |
in class exam. Monday, 20th June |
5. |
Homework |
20% |
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週次 |
日期 |
單元主題 |
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第1週 |
2/21,2/23 |
review and test |