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課程名稱 |
分析二
Analysis(Honor Program)(Ⅱ) |
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開課學期 |
107-2 |
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授課對象 |
理學院 數學系 |
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授課教師 |
崔茂培 |
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課號 |
MATH5229 |
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課程識別碼 |
221 U6550 |
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班次 |
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學分 |
5.0 |
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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 |
星期二2,3,4(9:10~12:10)星期四3,4(10:20~12:10) |
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上課地點 |
天數101天數101 |
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備註 |
此課程研究生選修不算學分。
限本系所學生(含輔系、雙修生)
總人數上限：40人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1072MATH5229_ |
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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 |
This is the second semester of mathematical analysis course.
The goal of this course is to provide solid training for mathematics majored students and students who are really interested in mathematical analysis. It provides the completely rigorous training in fundamental contents of mathematical analysis. Students are supposed to have the ability of writing rigorous mathematical arguments.
We plan to cover the following, not necessarily in the linear order.
I. Multiple integrals
II. Differential forms
III Lebesgue measure and Lebesgue integral
IV. Other possible topics: Fourier series, Fourier transformation or Geometric measure theory. |
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課程目標 |
A rigorous introduction to mathematical analysis. We will cover most of the material in the textbook-"Real Mathematical Analysi" by Charles C. Pugh ( It can be downloaded at NTU with NTU IP
https://link.springer.com/content/pdf/10.1007%2F978-3-319-17771-7.pdf) |
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課程要求 |
1. 需要預習且要經常上台報告
2. 部分內容可能以閱讀, 分組討論的形式進行.
3. 準時參加所有考試.
4. 熟悉數理邏輯，有自學的能力，能掌握一般數學定理的嚴格證明。
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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 |
Real Mathematical Analysis by Charles C. Pugh ( It can be downloaded at NTU with NTU IP
https://link.springer.com/content/pdf/10.1007%2F978-3-319-17771-7.pdf)
Other references will be added later. |
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參考書目 |
References will be added later. |
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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. |
Midterm |
35% |
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2. |
Final |
35% |
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3. |
Quiz, Homework and final project |
30% |
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週次 |
日期 |
單元主題 |
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第1週 |
2/19,2/21 |
Fubini's Theorem |
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第2週 |
2/26,2/28 |
TA-class on Feb 26 (10:20-12:10)
No class on Feb 28. |