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課程名稱 |
分析二
Analysis(Honor Program)(Ⅱ) |
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開課學期 |
110-2 |
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授課對象 |
理學院 數學系 |
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授課教師 |
王振男 |
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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102天數102 |
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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：30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 |
This is a course of mathematical analysis which provides 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.
In the second semester, we plan to discuss mathematical analysis in several variables and some advanced topics. Some important subjects include:
1. Inverse function theorem and Implicit function theorem.
2. Multiple Riemann integrals.
3. Measure theory. Lebesgue integrals.
4. Fourier analysis.
5. Special topics. |
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課程目標 |
Develop abstract and logical thinking. Write rigorous mathematical statements and proofs. |
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課程要求 |
1. Weekly assignment and quiz.
2. Midterm exam.
3. Final exam. |
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預期每週課後學習時數 |
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Office Hours |
每週三 10:00~12:00 備註： 或另約時間。 |
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指定閱讀 |
1. Tom Apostol, Mathematical Analysis, Second Edition.
2. Wheeden and Zygmund, Measure and Integral: An Introduction to Real Analysis . |
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參考書目 |
1. Walter Rudin, Principles of Mathematical Analysis.
2. William R. Wade, An Introduction to Analysis.
3. Jerrold E. Marsden, Elementary Classical Analysis. |
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評量方式
(僅供參考) |
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