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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 |
102-1 |
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授課對象 |
經濟學系 |
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授課教師 |
林楨芸 |
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課號 |
MATH1201 |
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課程識別碼 |
201 101A1 |
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班次 |
04 |
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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 |
星期一9(16:30~17:20)星期三5,6(12:20~14:10)星期五5,6(12:20~14:10) |
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上課地點 |
新302新304新304 |
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備註 |
統一教學.大二以上限20人.一9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/1021A04 |
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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 |
One variable calculus
統一教學網站: http://www.math.ntu.edu.tw/~mathcal/a/ |
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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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參考書目 |
James Stewart, Calculus Early Transcendentals, 7th edition. |
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指定閱讀 |
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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. |
期中考 |
40% |
考試時間: 2013.11.02(六) 13:30∼16:00
考試範圍 1.5∼4.9 (英文命題) |
2. |
期末考 |
40% |
考試時間:2014.01.04(六) 13:30∼16:00
考試範圍 5.1∼10.6 (英文命題) |
3. |
習題課小考 |
20% |
考試時間:習題課上課15分鐘 |
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週次 |
日期 |
單元主題 |
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第1週 |
9/09,9/11,9/13 |
<html>
<head>
<title>
</title>
</head>
<body>
[1.5] Exponential Functions <br>
[1.6] Inverse Functions and Logarithms <br>
[2.1] The Tangent and Velocity Problems <br>
[2.2] The Limit of a Function <br>
[2.3] Calculating Limits Using the Limit Laws <br>
</body>
</html>
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第2週 |
9/16,9/18,9/20 |
<html>
<head>
<title>
</title>
</head>
<body>
[2.4] The Precise Definition of a Limit <br>
[2.5] Continuity <br>
9/20(五)中秋節連續放假一天 <br>
</body>
</html> |
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第3週 |
9/23,9/25,9/27 |
<html>
<head>
<title>
</title>
</head>
<body>
[2.6] Limits at Infinity; Horizontal Asymptotes <br>
[2.7] Derivatives and Rates of Change <br>
[2.8] The Derivative as a Function <br>
[3.1] Derivatives of Polynomials and Exponential Functions <br>
</body>
</html> |
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第4週 |
9/30,10/02,10/04 |
<html>
<head>
<title>
</title>
</head>
<body>
[3.2] The Product and Quotient Rules <br>
[3.3] Derivatives of Trigonometric Functions <br>
[3.4] The Chain Rule <br>
[3.5] Implicit Differentiation <br>
</body>
</html> |
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第5週 |
10/07,10/09,10/11 |
<html>
<head>
<title>
</title>
</head>
<body>
[3.6] Derivatives of Logarithmic Functions <br>
[3.7] Rates of Change in the Natural and Social Sciences（※）<br>
[3.8] Exponential Growth and Decay <br>
[3.9] Related Rates <br>
[3.10] Linear Approximations and Differentials <br>
</body>
</html> |
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第6週 |
10/14,10/16,10/18 |
<html>
<head>
<title>
</title>
</head>
<body>
[3.11] Hyperbolic Functions <br>
[4.1] Maximum and Minimum Values <br>
[4.2] The Mean Value Theorem <br>
緩衝時間 <br>
</body>
</html> |
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第7週 |
10/21,10/23,10/25 |
<html>
<head>
<title>
</title>
</head>
<body>
[4.3] How Derivatives Affect the Shape of a Graph <br>
[4.4] Indeterminate Forms and L’Hospital’s Rule <br>
[4.5] Summary of Curve Sketching <br>
[4.6] Graphing with Calculus and Calculators（※）<br>
[4.7] Optimization Problems <br>
</body>
</html> |
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第8週 |
11/02 |
13:30∼16:00 期中考 考試範圍 1.5∼4.9 (英文命題) |
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第8週 |
10/28,10/30,11/01 |
<html>
<head>
<title>
</title>
</head>
<body>
[4.8] Newton’s Method（※）<br>
[4.9] Antiderivatives <br>
[5.1] Areas and Distances <br>
緩衝時間<br>
</body>
</html> |
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第9週 |
11/04,11/06,11/08 |
<html>
<head>
<title>
</title>
</head>
<body>
[5.2] The Definite Integral <br>
[5.3] The Fundamental Theorem of Calculus <br>
[5.4] Indefinite Integrals and the Net Change Theorem <br>
[5.5] The Substitution Rule <br>
</body>
</html> |
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第10週 |
11/11,11/13,11/15 |
<html>
<head>
<title>
</title>
</head>
<body>
[6.1] Areas Between Curves <br>
[6.2] Volumes <br>
[6.3] Volumes by Cylindrical Shells <br>
[6.4] Work（※）<br>
11/15(五) 本校校慶 停課一天 <br>
</body>
</html> |
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第11週 |
11/18,11/20,11/22 |
<html>
<head>
<title>
</title>
</head>
<body>
[6.5] Average Value of a Function（※）<br>
[7.1] Integration by Parts <br>
[7.2] Trigonometric Integrals <br>
[7.3] Trigonometric Substitution <br>
[7.4] Integration of Rational Functions by Partial Fractions <br>
</body>
</html> |
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第12週 |
11/25,11/27,11/29 |
<html>
<head>
<title>
</title>
</head>
<body>
[7.5] Strategy for Integration <br>
[7.7] Approximate Integration <br>
[7.8] Improper Integrals <br>
[8.1] Arc Length <br>
</body>
</html> |
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第13週 |
12/02,12/04,12/06 |
<html>
<head>
<title>
</title>
</head>
<body>
[8.2] Area of a Surface of Revolution <br>
[8.3] Applications to Physics and Engineering <br>
[8.4] Applications to Economics and Biology（※）<br>
[8.5] Probability（※）<br>
緩衝時間 <br>
</body>
</html> |
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第14週 |
12/09,12/11,12/13 |
<html>
<head>
<title>
</title>
</head>
<body>
[9.1] Modeling with Differential Equations <br>
[9.2] Direction Fields and Euler’s Method（※）<br>
[9.3] Separable Equations <br>
[9.4] Models for Population Growth <br>
</body>
</html> |
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第15週 |
12/16,12/18,12/20 |
<html>
<head>
<title>
</title>
</head>
<body>
[9.5] Linear Equations<br>
緩衝時間<br>
</body>
</html> |
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第16週 |
12/23,12/25,12/27 |
<html>
<head>
<title>
</title>
</head>
<body>
[10.1] Curves Defined by Parametric Equations <br>
[10.2] Calculus with Parametric Curves <Br>
[10.3] Polar Coordinates <br>
[10.4] Areas and Lengths in Polar Coordinates <br>
[10.6] Conic Sections in Polar Coordinates <br>
</body>
</html> |
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第17週 |
12/30,1/01,1/03 |
<html>
<head>
<title>
</title>
</head>
<body>
1/1(三) 開國紀念日<br>
緩衝時間 <br>
</body>
</html> |
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第17-2週 |
01/05 |
13:30∼16:00 期末考 考試範圍 5.1∼10.6 (英文命題) |
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