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課程名稱 |
微積分甲上
Calculus (general Mathematics) (a)(1) |
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開課學期 |
100-1 |
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授課對象 |
地理環境資源學系 |
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授課教師 |
容志輝 |
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課號 |
MATH1201 |
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課程識別碼 |
201 101A1 |
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班次 |
11 |
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學分 |
4 |
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全/半年 |
全年 |
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必/選修 |
必修 |
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上課時間 |
星期三7,8,9(14:20~17:20)星期五1,2(8:10~10:00) |
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上課地點 |
共203共203 |
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備註 |
統一教學.大二以上限20人.三9為實習課.
限本系所學生(含輔系、雙修生)
總人數上限：100人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1001Calculus11 |
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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 |
Study the process of approximation and its limitation (errors), learn the tools and techniques for analyzing regular mappings with applications, and deepen the understanding of elementary functions. |
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課程目標 |
Study the process of approximation and its limitation (errors), learn the tools and techniques for analyzing regular mappings with applications, and deepen the understanding of elementary functions. |
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課程要求 |
High School Mathematics |
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預期每週課後學習時數 |
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Office Hours |
另約時間 |
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指定閱讀 |
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參考書目 |
Textbook
Adams and Essex, Calculus, A Complete Course, 7th Edition.
References
1. Courant and John, Introduction to Calculus and Analysis, Vol. 1
2. T.M. Apostol, Calculus, Vol. 1 |
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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 |
5% |
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2. |
Quiz |
15% |
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3. |
Mid-term |
40% |
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4. |
Final Exam |
40% |
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週次 |
日期 |
單元主題 |
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第1週 |
9/14,9/16 |
Limits of Functions |
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第2週 |
9/21,9/23 |
Continuity |
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第3週 |
9/28,9/30 |
Completeness Axiom of the Real Number System and Differentiation |
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第4週 |
10/05,10/07 |
Chain Rule, Mean-Value Theorem and Taylor's Theorem |
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第5週 |
10/12,10/14 |
Inverse Function Theorem, Implicit Function Theorem, Antiderivatives and Initial-Value Problems |
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第6週 |
10/19,10/21 |
Natural Logarithm and Exponential, Inverse Trigonometric and Hyperbolic Functions |
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第7週 |
10/26,10/28 |
Second-Order Linear Homogeneous Differential Equations with Constant Coefficients, Fixed-Point Iteration, Newton-Raphson Method, Indeterminate Forms |
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第8週 |
11/02,11/04 |
Extreme Values, Concavity and Inflections |
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第9週 |
11/09,11/11 |
Uniform Continuity and Riemann Integral |
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第10週 |
11/16,11/18 |
Riemann Sums and Properties of Definite Integrals |
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第11週 |
11/23,11/25 |
The Fundamental Theorem of the Calculus |
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第12週 |
11/30,12/02 |
Techniques of Integration |
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第13週 |
12/07,12/09 |
Improper Integration and Numerical Integration |
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第14週 |
12/14,12/16 |
Volumes by Slicing and Plane Curves |
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第15週 |
12/21,12/23 |
Arc Length and Surface Area |
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第16週 |
12/28,12/30 |
Area within Closed Curves; Polar Curves, and Algebraic Curves. |
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第17週 |
1/04,1/06 |
First-Order Linear Differential Equations and Curvature. |
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