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課程名稱 |
分析導論二
Introduction to Mathematical Analysis(Ⅱ) |
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開課學期 |
105-2 |
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授課對象 |
理學院 數學系 |
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授課教師 |
王藹農 |
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課號 |
MATH2214 |
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課程識別碼 |
201 49660 |
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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 |
必修 |
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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202天數202 |
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備註 |
總人數上限：70人
外系人數限制：20人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1052MATH2214_ |
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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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課程概述 |
sequences and series of functions, multivariable differential calculus, inverse and implicit function theorems, multiple Riemann integrals, and Lebesgue theory of measure and integration. |
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課程目標 |
While providing students with fundamental concepts of mathematical analysis, this course aims to cultivate the ability of dealing with abstract notions and rigorous proofs. Students are expected to work out solutions/proofs of exercises/homework, and to present their findings with precision and clarity in recitation in order to both improve communication skills, and fortify the understanding of the material. This course is considered relatively advanced, and a higher degree of commitment is recommended.
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課程要求 |
mathematical analysis I |
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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 |
待補 |
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參考書目 |
1. T. M. Apostol: Mathematical analysis.
2. Marian Muresan: A concrete approach to classical analysis. CMS books in
mathematics. Springer 2009. |
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評量方式
(僅供參考) |
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