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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 |
100-1 |
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授課對象 |
機械工程學系 |
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授課教師 |
劉瓊如 |
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課號 |
MATH1201 |
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課程識別碼 |
201 101A1 |
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班次 |
10 |
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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 |
星期三7,8,9(14:20~17:20)星期五1,2(8:10~10:00) |
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上課地點 |
新303新303 |
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備註 |
統一教學.大二以上限20人.三9為實習課.
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/1001cal10 |
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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 |
Please see 統一教學網站. http://www.math.ntu.edu.tw/~mathcal/a/ |
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課程目標 |
Please see 統一教學網站. http://www.math.ntu.edu.tw/~mathcal/a/ |
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課程要求 |
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預期每週課前或/與課後學習時數 |
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Office Hours |
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指定閱讀 |
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參考書目 |
Please see 統一教學網站. |
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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. |
平常 |
20% |
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2. |
期中 |
40% |
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3. |
期末 |
40% |
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- 本校尚無訂定 A+ 比例上限。
- 本校採用等第制評定成績，學生成績評量辦法中的百分制分數區間與單科成績對照表僅供參考，授課教師可依等第定義調整分數區間。詳見學習評量專區 (連結)。
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週次 |
日期 |
單元主題 |
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第1週 |
9/14,9/16 |
1.1 Examples of Velocity, Growth Rate, and Area
1.2 Limit of Functions
1.3 Limits at Infinity and Infinite Limits
1.4 Continuity |
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第2週 |
9/21,9/23 |
1.5 The Formal Definition of Limit
2.1 Tangent Lines and Their Slopes
2.2 The Derivative
2.3 Differentiation Rules |
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第3週 |
9/28,9/30 |
2.4 The Chain Rule
2.5 Derivatives of Trigonometric Functions
2.6 Higher-Order Derivatives
2.7 Using Differentials and Derivatives
2.8 The Mean-Value Theorem |
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第4週 |
10/05,10/07 |
2.9 Implicit Differentiation
2.10 Antiderivatives and Initial-V alue Problems
2.11 Velocity and Acceleration |
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第5週 |
10/12,10/14 |
3.1 Inverse Functions
3.2 Exponential and Logarithmic Functions
3.3 The Natural Logarithm and Exponential
3.4 Growth and Decay |
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第6週 |
10/19,10/21 |
3.5 The Inverse Trigonometric Functions
3.6 Hyperbolic Functions
3.7 Second-Order Linear Des with Constant Coefficients
4.1 Related Rates |
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第7週 |
10/26,10/28 |
4.2 Finding Root of Equations
4.3 Indeterminate Forms
4.4 Extreme V alues
4.5 Concavity and Inflections |
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第8週 |
11/02,11/04 |
4.6 Sketching the Graph of a Function
4.8 Extreme-V alue Problems
4.9 Linear Approximations |
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第9週 |
11/09,11/11 |
4.10 Taylor Polynomials |
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第10週 |
11/16,11/18 |
5.1 Sums and Sigma Notation
5.2 Areas as Limits of Sums
5.3 Definite Inte ral
5.4 Properties of the Definite Integral |
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第11週 |
11/23,11/25 |
5.5 The Fundamental Theorem of Calculus
5.6 The Method of Substitution
5.7 Areas of Plane Regions
6.1 Integration by Parts |
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第12週 |
11/30,12/02 |
6.2 Integr ls of Rational Functions
6.3 Inverse Substitutions
6.4 Other Methods for Evaluating Integrals
6.5 Improper Integrals |
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第13週 |
12/07,12/09 |
6.6 The Trapezoid and Midpoint Rules
6.7 Simpson's Rule |
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第14週 |
12/14,12/16 |
7.1 Volumes by Slicing ─ Solids of Revolution
7.2 More Volumes by Slicing
7.3 Arc Length and Surface Area |
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第15週 |
12/21,12/23 |
7.4 Mass, Moments, and Centre of Mass
7.9 First-Order Differential Equations |
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第16週 |
12/28,12/30 |
8.2 Parametric Curves
8.3 Smooth Parametric Curves and Their Slopes
8.4 Arc Lengths and Areas for Parametric Curves |
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第17週 |
1/04,1/06 |
8.5 Polar Coordinates and Polar Curves
8.6 Slopes, Areas, and Arc Lengths for Polar Curves |
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