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課程名稱 |
微積分2
CALCULUS (2) |
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開課學期 |
112-1 |
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授課對象 |
經濟學系 |
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授課教師 |
蔡國榮 |
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課號 |
MATH4007 |
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課程識別碼 |
201E49820 |
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班次 |
11 |
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學分 |
2.0 |
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全/半年 |
半年 |
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必/選修 |
必帶 |
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上課時間 |
第9,10,11,12,13,14,15,16 週
星期一3,4(10:20~12:10)星期四3,4,10(10:20~18:20) |
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上課地點 |
共101共101 |
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備註 |
初選不開放。本課程以英語授課。密集課程。英文授課.初選不開放.密集課程.統一教學.四10為實習課.
限本系所學生(含輔系、雙修生)
總人數上限：180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 |
In this course, we will continue our journey in Calculus and turn our attention to the theory of integration (à la Riemann). We shall begin with the definition and techniques of integration, derive the Fundamental Theorem of Calculus that provides an important link between integration & differentiation, compute areas, discuss applications to economics & probability and solve certain first order differential equations.
Definitions are discussed and the most important theorems are derived in the lectures with a view to help students to develop their abilities in logical deduction and analysis. Practical applications of Calculus are illustrated in order to promote a more organic interaction between the theory of Calculus and Economics.
This course also provides TA classes in which students are able to make their skills in handling calculations in Calculus more proficient under the guidance of our teaching assistants.
Provisional Schedule :
Week 9 - Introduction to Integrations
Week 10 - Method of Substitutions
Week 11 - Integration by Parts and its Applications
Week 12 - More techniques and Improper Integrals
Week 13 - Applications in Economics and Probability
Week 14 - Introduction to Differential Equations
Week 15 - Introduction to Taylor series
Week 16 - Reviews
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課程目標 |
Students would be familiar with Calculus as a tool and be able to apply it in various subjects including in Economics after finishing this course. |
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課程要求 |
High school mathematics (trigonometry), Calculus 1
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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: Stewart, Clegg, Watson, CALCULUS: EARLY TRANSCENDENTALS, Metric, 9th Edition
This course will be supplemented by instructor's lecture notes. |
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參考書目 |
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評量方式
(僅供參考) |
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針對學生困難提供學生調整方式 |
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上課形式 |
以錄音輔助, 以錄影輔助 |
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作業繳交方式 |
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考試形式 |
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其他 |
由師生雙方議定 |
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週次 |
日期 |
單元主題 |
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Week 9 |
10/30-11/3 |
Week 9 - Introduction to Integrations |
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Week 10 |
11/6-11/10 |
Week 10 - Method of Substitutions
HW 9 due |
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Week 11 |
11/13-11/17 |
Week 11 - Integration by Parts and its Applications
WS 1 due
Quiz 1 |
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Week 12 |
11/20-11/24 |
Week 12 - More techniques and Improper Integrals
HW 11 due |
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Week 13 |
11/27-12/1 |
Week 13 - Applications in Economics and Probability
WS 2 due |
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Week 14 |
12/4-12/8 |
Week 14 - Introduction to Differential Equations
Quiz 2 |
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Week 15 |
12/11-12/15 |
Week 15 - Introduction to Taylor series
HW 14 due |
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Week 16 |
12/18-12/22 |
Week 16 - Reviews
WS 3 due |
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