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課程名稱 |
微積分甲下
Calculus (general Mathematics) (a)(2) |
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開課學期 |
102-2 |
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授課對象 |
材料科學與工程學系 |
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授課教師 |
顏文明 |
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課號 |
MATH1202 |
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課程識別碼 |
201 101A2 |
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班次 |
02 |
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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203新203新203 |
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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：130人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1022MATH1202_02 |
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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 |
a |
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課程目標 |
a |
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課程要求 |
a |
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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 |
待補 |
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參考書目 |
a |
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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1週 |
2/17,2/19,2/21 |
<html>
<head>
<title>
</title>
</head>
<body>
[11.1] Sequences<br>
[11.2] Series<br>
[11.3] The Integral Test and Estimates of Sums<br>
[11.4] The Comparison Tests <br>
</body>
</html> |
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第2週 |
2/24,2/26,2/28 |
<html>
<head>
<title>
</title>
</head>
<body>
[11.5] Alternating Series<br>
[11.6] Absolute Convergence and the Ratio and Root Tests<br>
</body>
</html> |
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第3週 |
3/03,3/05,3/07 |
<html>
<head>
<title>
</title>
</head>
<body>
[11.7] Strategy for Testing Series<br>
[11.8] Power Series<br>
[11.9] Representations of Functions as Power Series<br>
</body>
</html> |
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第4週 |
3/10,3/12,3/14 |
<html>
<head>
<title>
</title>
</head>
<body>
[11.10] Taylor and Maclaurin Series<br>
[11.11] Applications of Taylor Polynomials<br>
</body>
</html> |
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第5週 |
3/17,3/19,3/21 |
<html>
<head>
<title>
</title>
</head>
<body>
[12.6] Cylinders and Quadric Surfaces<br>
[13.1] Vector Functions and Space Curves<br>
[13.2] Derivatives and Integrals of Vector Functions<br>
[13.3] Arc Length and Curvature<br>
[13.4] Motion in Space: Velocity and Acceleration<br>
</body>
</html> |
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第6週 |
3/24,3/26,3/28 |
<html>
<head>
<title>
</title>
</head>
<body>
[14.1] Functions of Several Variables<br>
[14.2] Limits and Continuity<br>
[14.3] Partial Derivatives<br>
[14.4] Tangent Planes and Linear Approximations<br>
[14.5] The Chain Rule<br>
</body>
</html> |
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第7週 |
3/31,4/02,4/04 |
<html>
<head>
<title>
</title>
</head>
<body>
4/2(三) 溫書假<br>
4/4(五) 兒童節<br>
</body>
</html> |
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第8週 |
4/07,4/09,4/11 |
<html>
<head>
<title>
</title>
</head>
<body>
[14.6] Directional Derivatives and the Gradient Vector<br>
[14.7] Maximum and Minimum Values<br>
</body>
</html> |
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第9週 |
4/14,4/16,4/18 |
[14.8] Lagrange Multipliers
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第10週 |
4/21,4/23,4/25 |
<html>
<head>
<title>
</title>
</head>
<body>
[15.1] Double Integrals over Rectangles<br>
[15.2] Iterated Integrals<br>
[15.3] Double Integrals over General Regions<br>
</body>
</html> |
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第11週 |
4/28,4/30,5/02 |
<html>
<head>
<title>
</title>
</head>
<body>
[15.4] Double Integrals in Polar Coordinates<br>
[15.5] Applications of Double Integrals<br>
[15.6] Surface Area<br>
[15.7] Triple Integrals<br>
</body>
</html> |
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第12週 |
5/05,5/07,5/09 |
<html>
<head>
<title>
</title>
</head>
<body>
[15.8] Triple Integrals in Cylindrical Coordinates<br>
[15.9] Triple Integrals in Spherical Coordinates<br>
[15.10] Change of Variables in Multiple Integrals<br>
</body>
</html> |
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第13週 |
5/12,5/14,5/16 |
<html>
<head>
<title>
</title>
</head>
<body>
[16.1] Vector Fields<br>
[16.2] Line Integrals<br>
</body>
</html> |
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第14週 |
5/19,5/21,5/23 |
<html>
<head>
<title>
</title>
</head>
<body>
[16.3] The Fundamental Theorem for Line Integrals<br>
[16.4] Green's Theorem<br>
</body>
</html> |
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第15週 |
5/26,5/28,5/30 |
<html>
<head>
<title>
</title>
</head>
<body>
[16.5] Curl and Divergence<br>
[16.6] Parametric Surfaces and Their Areas<br>
[16.7] Surface Integrals<br>
</body>
</html> |
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第16週 |
6/02,6/04,6/06 |
<html>
<head>
<title>
</title>
</head>
<body>
[16.8] Stokes' Theorem<br>
[16.9] The Divergence Theorem<br>
[16.10] Summary<br>
</body>
</html> |
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第17週 |
6/09,6/11,6/13 |
<html>
<head>
<title>
</title>
</head>
<body>
[17.1] Second-Order Linear Equations<br>
[17.2] Nonhomogeneous Linear Equations<br>
</body>
</html> |
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