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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 |
土木工程學系 |
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授課教師 |
張志中 |
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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 |
必帶 |
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上課時間 |
星期二7,8,9(14:20~17:20)星期四5,6(12:20~14:10) |
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上課地點 |
新203新203 |
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備註 |
統一教學.二9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/1021cal11 |
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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 |
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指定閱讀 |
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參考書目 |
Textbook
James Stewart: Calculus, Early Transcendentals. 7th edition. |
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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. |
平時成績 |
20% |
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2. |
期中考 |
40% |
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3. |
期末考 |
40% |
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週次 |
日期 |
單元主題 |
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第1週 |
9/10,9/12 |
1.5, 1.6 (exponential functions, logarithms, and inverse trig. fnt.), 2.2-2.4 (definitions of one and two sided limits, and limit laws) |
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第2週 |
9/17,9/19 |
2.5 Continuity |
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第3週 |
9/24,9/26 |
2.6 limits at infinity, 2.7, 2.8, 3.1 derivatives of polynomials and exponential functions, 3.2 differentiation rules, 3.3 |
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第4週 |
10/01,10/03 |
10/01 quiz up to 3.1, 3.4 the chain rule, 3.5 implicit differentiation |
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第5週 |
10/08,10/10 |
3.6 derivatives of logarithmic functions, 3.8 exponential growth and decay |
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第6週 |
10/15,10/17 |
(quiz up to 3.6) 3.9 related rates, 3.10 linear approximations and differentials, 4.1, 4.2 (Cauchy's) mean value theorem |
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第7週 |
10/22,10/24 |
4.3, 4.4 L'Hospital's rule, 4.5 summary of curve sketching, 4.7 optimization problems. |
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第8週 |
10/29,10/31 |
(quiz. range: 3.8 ~ 3.10, 4.1 ~ 4.4 ) 4.9, 5.1 - 5.5 the definite integral, fundamental theorem of calculus, and the substitution rule |
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第9週 |
11/05,11/07 |
(No quiz) 6.1 areas between curves, 6.2 volumes. 11/09 (Sat.) 9:00 - 11:30am midterm |
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第10週 |
11/12,11/14 |
6.3 volumes by cylindrical shells, (6.5), 7.1 integration by parts, 7.2 trigonometric integrals. |
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第11週 |
11/19,11/21 |
7.3 trigonometric substitution, 7.4 integration of rational functions |
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第12週 |
11/26,11/28 |
(quiz up to first half of 7.2) 7.5, 7.8 improper integrals |
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第13週 |
12/03,12/05 |
(quiz up to 7.8) 8.1 arc length, 8.2 surface area, 8.3 pressure and center of mass |
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第14週 |
12/10,12/12 |
9.1, 9.2, 9.3 separable equations, 9.4, 9.5 linear equations |
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第15週 |
12/17,12/19 |
(quiz on 8.1, 8.2, 8.3 and 9.3) 10.1, 10.2 calculus with parametric curves, 10.3 polar coordinates |
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第16週 |
12/24,12/26 |
10.4 Areas and lengths in polar coordinates |
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第17週 |
12/31,1/02 |
No class and recitation on 12/31. A quiz up to 10.4 on 1/2 at classroom 102 |
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