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課程名稱 |
分析導論一
Introduction to Mathematical Analysis(Ⅰ) |
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開課學期 |
105-1 |
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授課對象 |
社會科學院 經濟學系 |
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授課教師 |
王藹農 |
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課號 |
ECON5129 |
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課程識別碼 |
323 U2030 |
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班次 |
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學分 |
5 |
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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 |
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備註 |
上課資訊依課號MATH2213訊息為主。限選修ECON課號，方可認定為經濟系選修課。
限學士班三年級以上 或 限碩士班以上
總人數上限：20人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1051ECON5129_ |
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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 |
Real number system, elementary point set topology of Euclidean and metric spaces, limit, continuity and derivatives of one variable functions, the Riemann-Stieltjes integral, infinite sequences and series of real numbers and functions, multivariable differential calculus, inverse and implicit function theorems, extreme value problems, and multiple Riemann integrals. |
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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 |
calculus
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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 |
Textbook. W. Rudin: Principles of mathematical analysis, 3rd edition,
McGraw-Hill, 1976.
Reference.
1. T. M. Apostol: Mathematical analysis.
2. Marian Muresan: A concrete approach to classical analysis. CMS books in
mathematics. Springer 2009 (find the e-book in NTU library) |
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評量方式
(僅供參考) |
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