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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 |
107-1 |
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授課對象 |
牙醫學系 |
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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 |
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：140人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1071MATH1203_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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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 |
Differential and integral calculus of one variable functions with applications.
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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 |
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. |
課堂小考 |
20% |
暫定 |
2. |
期末考 |
40% |
暫定 |
3. |
期中考 |
40% |
暫定 |
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週次 |
日期 |
單元主題 |
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第1週 |
9/11, 9/13 |
2.3 The precise definition of a limit
2.2 Limit of a function and limit laws
2.4 One sided limits |
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第2週 |
9/18, 9/20 |
9/18: 2.5 Continuity (including various types of discontinuity and intermediate value theorem)
9/20: 2.6 Limits involving infinity; asymptotes of graphs |
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第3週 |
9/25, 9/27 |
9/25: 3.1, 3.2
9/27: 3.3 differentiation rules |
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第4週 |
10/2, 10/4 |
10/2: 3.5 derivatives of trig. functions, and 3.6 the chain rule (3.4 is skipped)
10/4: 3.7 implicit differentiation |
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第5週 |
10/9, 10/11 |
10/09: 3.8 exponential and logarithmic functions
10/11: quiz 1 |
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第6週 |
10/16, 10/18 |
10/16: 3.9 a brief introduction of inverse trigonometric functions (including their derivatives), and 3.11 linearization and differentials
10/18: absolute/relative max. and min. values, and extreme value theorem。後半小時發小考1考卷
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第7週 |
10/23, 10/25 |
10/23: theoretical parts of 4.1 - 4.3, and L'Hopital's rule in 4.5
10/25: 4.4 concavity and curve sketching |
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第8週 |
10/30, 11/01 |
10/30: more examples of curve sketching and indeterminate forms (4.4 and 4.5)
11/01: quiz 2 |
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第9週 |
11/6, 11/8 |
11/6: 4.6 applied optimization
11/8: 4.8 antiderivatives and 5.2 partition of an interval, and so on.
4.7 and 5.1 are skipped
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第10週 |
11/13, 11/15 |
11/13: Definition and properties of Riemann integrals.
11/15: 校慶 |
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第11週 |
11/20, 11/22 |
11/20: Midterm exam.
11/22: 5.4 The fundamental theorem of calculus |
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第12週 |
11/27, 11/29 |
11/27: 5.5 integration by substitution
11/29: 5.6 and 6.1 area between curves and volumes using cross-sections |
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第13週 |
12/4, 12/6 |
12/4: 6.1 and 6.2 volumes by disk and shell methods
12/6: 6.3 arc length |
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第14週 |
12/11, 12/13 |
12/11: separable differential equations, integration by parts
12/13: Quiz 3 |
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第15週 |
12/18, 12/20 |
12/18: 8.2, 8.3 (sine and cosine), and 8.5
12/20: 8.5 |
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第16週 |
12/25, 12/27 |
12/25: Improper integrals
12/27: Improper integrals (direct and limit comparison theorems)
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第17週 |
1/1, 1/3 |
1/3: quiz 4 on separable differential equations, integration by parts, and integrals of rational functions
1/8: Final exam. |
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