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課程名稱 |
微積分乙上
Calculus (general Mathematics) (b)(1) |
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開課學期 |
102-1 |
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授課對象 |
職能治療學系 |
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授課教師 |
張志中 |
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課號 |
MATH1203 |
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課程識別碼 |
201 101B1 |
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班次 |
08 |
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學分 |
3 |
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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 |
星期二3,4(10:20~12:10)星期四9(16:30~17:20) |
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上課地點 |
新304新304 |
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備註 |
大二以上限20人.
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/1021calb08 |
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課程簡介影片 |
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核心能力關聯 |
本課程尚未建立核心能力關連 |
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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: Limit, continuity, differentiation, integration, and their applications of one variable 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 |
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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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週次 |
日期 |
單元主題 |
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第1週 |
9/10,9/12 |
Cardinalities of number systems, exponential and logarithm functions (1.5 and 1.6). |
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第2週 |
9/17,9/19 |
2.2 - 2.4 Definition of limit and limit laws. |
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第3週 |
9/24,9/26 |
2.5 continuity, 2.6 limits at infinity, 2.7 derivatives |
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第4週 |
10/01,10/03 |
2.8, 3.1, 3.2, 3.3 differentiation rules and derivatives of exponential and trigonometric functions |
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第5週 |
10/08,10/10 |
3.4 chain rule, 3.5 implicit differentiation |
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第6週 |
10/15,10/17 |
3.6 derivatives of logarithmic functions |
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第7週 |
10/22,10/24 |
3.10 linear approximation and differentials, 4.1 maximum and minimum values, 4.2 (Cauchy's) mean value theorem |
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第8週 |
10/29,10/31 |
(10/29 quiz up to 4.1) 4.3, 4.4 L'Hospital's rule |
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第9週 |
11/05,11/07 |
4.5 summary of curve sketching |
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第10週 |
11/12,11/14 |
4.9 antiderivatives, 5.2 the definite integral, 5.3 the fundamental theorem of calculus. |
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第11週 |
11/19,11/21 |
11/19 Midterm (1.5 - 4.5), 5.5 the substitution rule |
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第12週 |
11/26,11/28 |
6.1 areas, 6.2 volumes |
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第13週 |
12/03,12/05 |
6.3 volumes by cylindrical shells, 7.1 integration by parts |
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第14週 |
12/10,12/12 |
7.4 integration of rational functions by partial fractions |
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第15週 |
12/17,12/19 |
(quiz up to 7.1) 9.3 separable equations, 9.5 linear equations |
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第16週 |
12/24,12/26 |
7.8 Infinite intervals improper integrals |
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第17週 |
12/31,1/02 |
Review |
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