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課程名稱 |
微積分乙下
Calculus (general Mathematics) (b)(2) |
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開課學期 |
107-2 |
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授課對象 |
物理治療學系 |
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授課教師 |
張志中 |
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課號 |
MATH1204 |
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課程識別碼 |
201 101B2 |
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班次 |
06 |
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學分 |
3.0 |
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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)星期四10(17:30~18:20) |
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上課地點 |
新102新102 |
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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/1072MATH1204_06 |
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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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課程概述 |
One variable calculus: sequences and series
Multi-variable calculus: limit, continuity, differentiation, integration, and their applications including elementry probability. |
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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 |
Calculus of first semester |
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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 |
Textbook.
Thomas' calculus, early transcendentals. 13th edition in SI units.
Revised by M. D. Weir and J. Hass. Pearson 2016. 東華書局/新月圖書 代理 |
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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. |
Quiz |
15% |
(暫定) 於 Midterm 前考2次，擇較優者計分 |
2. |
Midterm exam |
35% |
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3. |
Quiz |
15% |
(暫定) 於 Midterm 後考2次，擇較優者計分 |
4. |
Final exam |
35% |
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週次 |
日期 |
單元主題 |
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第1週 |
2/19,2/21 |
2/19: 9.2 first order linear differential equations
2/21: 10.7 power series |
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第2週 |
2/26,2/28 |
2/26: 10.8 Taylor series |
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第3週 |
3/05,3/07 |
3/5: 10.9 Taylor theorem and examples
3/7: 10.10 The binomial series and applications of Taylor series |
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第4週 |
3/12,3/14 |
3/12: 14.1, 14.2
3/14: Quiz 1 |
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第5週 |
3/19,3/21 |
3/19: 14.3, 14.4
3/21: 14.4 the most general form of chain rule and some examples, and implicit differentiation revisited |
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第6週 |
3/26,3/28 |
3/26: 14.7 Extreme values and saddle points
3/28: directional derivatives and gradient vectors, 發 quiz 1 考卷 |
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第7週 |
4/02,4/04 |
溫書假 no class |
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第8週 |
4/09,4/11 |
4/9 and 4/11: 14.8 Lagrange multipliers |
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第9週 |
4/16,4/18 |
4/16: 14.5 tangent lines of level curves, and 14.6 tangent planes
4/18: Quiz 2 |
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第10週 |
4/23,4/25 |
4/23: Midterm exam.
4/25: 15.1 Double integrals |
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第11週 |
4/30,5/02 |
4/30: 15.2
5/2: 發期中考卷 |
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第12週 |
5/07,5/09 |
5/7: 15.3 and 11.3 polar coordinates
5/9: 11.4 and 15.4 |
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第13週 |
5/14,5/16 |
5/14: 15.4
5/16: 演習課 |
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第14週 |
5/21,5/23 |
5/21: 15.8 Substitutions in multiple integrals
5/23: Quiz 3 |
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第15週 |
5/28,5/30 |
5/28: 15.8 Substitutions in multiple integrals and 15.5 triple integrals
5/30: 15.5 triple integrals |
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第16週 |
6/04,6/06 |
6/4: 15.7 and 15.8 (second half)
6/6: 15.7 and 15.8 (second half) |
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第17週 |
6/11,6/13 |
6/11: recitation
6/13: quiz 4.
6/18: final exam |
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