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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 |
103-2 |
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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 |
張志中 |
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課號 |
ECON5123 |
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課程識別碼 |
323 U1980 |
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班次 |
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學分 |
4 |
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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 |
星期二3,4,@(10:20~)星期四3,4(10:20~12:10) |
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上課地點 |
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備註 |
上課資訊依數學系公告為主，限選修課程識別碼323 U開頭之課程，方可認定為經濟系選修。
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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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 |
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 |
Textbook. W. Rudin: Principles of mathematical analysis, 3rd edition, McGraw-Hill, 1976. |
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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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No. |
項目 |
百分比 |
說明 |
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1. |
homework, quizzes and (oral) performance in recitation |
40% |
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2. |
Final |
30% |
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3. |
Midterm |
30% |
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週次 |
日期 |
單元主題 |
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第1週 |
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Sequences and series of functions |
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第2週 |
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Sequences and series of functions |
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第3週 |
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Sequences and series of functions |
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第4週 |
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Sequences and series of functions |
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第5週 |
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Functions of several variables |
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第6週 |
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Functions of several variables |
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第7週 |
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Functions of several variables |
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第8週 |
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Functions of several variables |
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第9週 |
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Midterm |
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第10週 |
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自主學習 |
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第11週 |
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Some special functions |
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第12週 |
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Some special functions |
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第13週 |
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Some special functions |
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第14週 |
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Multiple Riemann integrals |
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第15週 |
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Multiple Riemann integrals |
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第16週 |
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The Lebesgue theory |
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第17週 |
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The Lebesgue theory |
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