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課程名稱 |
數學分析與應用
Mathematical Analysis with Applications |
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開課學期 |
101-1 |
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授課對象 |
工學院 工業工程學研究所 |
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授課教師 |
洪一薰 |
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課號 |
IE5052 |
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課程識別碼 |
546 U0670 |
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班次 |
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學分 |
3 |
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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 |
星期三2,3,4(9:10~12:10) |
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上課地點 |
國青233 |
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備註 |
總人數上限：30人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1011realanalysis |
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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 |
Mathematics is the language of modern analytical economics. It quantifies the relationships between economic variables and economic actors. It formalizes and clarifies properties of these relationships. The goal of this course is to give students of Industrial Engineering a deeper understanding and working knowledge of the mathematics they need to work with these more sophisticated, more realistic, and more interesting models.
Tentative outline:
1.The algebra of sets
2.Functions and their properties
3.Finite and infinite sets
4.The real number system and its topology
5.Continuous functions
6.Sequence, series, and convergence
7.Limits and open sets
8.Economics applications
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課程目標 |
The objectives of this course are to develop the student’s intuition for how and why the various mathematical techniques work, and to use and apply mathematics by working with concrete examples and exercises. In addition, this course is on using mathematics to understand the structure of economics. |
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課程要求 |
Homework will be assigned approximately once every two weeks. Homework will be posted on the course website with associated due dates. Late assignments will be accepted only in case of unavoidable occurrences. You are encouraged to discuss homework and learn from each other, but each person must submit his/her own work, unless the homework specifically indicates that you should work in groups.
There are two midterm exams and one final exam. All of exams of this course are closed-notes and closed-book, but students are allowed to bring one page sheet with the summarized course materials. The exam schedule will be announced later during the semester.
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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 |
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參考書目 |
The Elements of Real Analysis by Robert G. Bartle (1976)
Mathematics for Economists by Carl P. Simon and Lawrence Blume (1994)
Mathematical Methods and Models for Economists by Angel de la Fuente (2000)
Elementary Analysis: The Theory of Calculus by Kenneth A. Ross (2000)
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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第5週 |
10/17 |
第一次期中考 個人報告(30%) |
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