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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 |
98-1 |
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授課對象 |
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授課教師 |
李白飛 |
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課號 |
MATH1201 |
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課程識別碼 |
201 101A1 |
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班次 |
07 |
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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 |
星期二5,6(12:20~14:10)星期四5,6,9(12:20~17:20) |
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上課地點 |
新103新103 |
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備註 |
四9為實習課.地點新103。可兼充通識名額3人。A6*:量化分析與數學素養領域。可充抵通識
限本系所學生(含輔系、雙修生)
總人數上限：80人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/981phlee |
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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 |
1. Limits and Continuity. 2. Differentiation. 3. Transcendental Functions. 4. Applications of Differentiation. 5. Integration. 6. Techniques of Integration. 7, Applications of Integration. 8. Parametric Curves and Polar Curves. |
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課程目標 |
A relatively rigorous introduction of differentiation and integration of functions of a single variable and their applications to geometry and physics. |
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課程要求 |
None. |
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Office Hours |
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參考書目 |
Textbook：R. A. Adams, Calculus, A complete Course. |
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指定閱讀 |
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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. |
Mid-Term Examination |
40% |
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2. |
Final Examination |
40% |
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3. |
Biweekly Tests |
20% |
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週次 |
日期 |
單元主題 |
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Week 1 |
9/15,9/17 |
Limits of Sequences. |
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Week 2 |
9/22,9/24 |
Limits of Functions. Completeness Axiom. |
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Week 3 |
9/29,10/01 |
Continuous Functions. Differentiation Rules. |
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Week 4 |
10/06,10/08 |
Chain Rule. Implicit Differentiation. Related Rates. |
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Week 5 |
10/13,10/15 |
Mean Value Theorem. Extreme Values. Concavity. |
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Week 6 |
10/20,10/22 |
Graph Sketching. Definite Integral. |
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Week 7 |
10/27,10/29 |
Properties of Definite Integral. Second Fundamental Theorem of Calculus. |
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Week 8 |
11/03,11/05 |
First Fundamental Theorem of Calculus. Inverse Functions. Natural Logarithm and Exponential. |
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Week 9 |
11/10,11/12 |
General Exponentials and Logarithms. Mid-Term Examination. |
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Week 10 |
11/17,11/19 |
Invese Trigonometric Functions. Method of Substitution. Integration by Parts. |
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Week 11 |
11/24,11/26 |
Integration of Rational Functions and Functions Reducible to Rational Functions. |
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Week 12 |
12/01,12/03 |
Integration of Polynomial Functions of Trigonometric Functions. Inverse Trigonometric Substitution. Trapezoid, Midpoint and Simpson's Rules. |
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Week 13 |
12/08,12/10 |
Areas, Volumes, Arc Lenhth and Surface Areas. |
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Week 14 |
12/15,12/17 |
Center of Mass. Centroid. Linear Approximations. Taylor Polynomials. Indeterminate Forms. |
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Week 15 |
12/22,12/24 |
More Indeterminate Forms. Parametric Curves. |
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Week 16 |
12/29,12/31 |
Arc Length and Areas for Parametric Curves. Polar Curves. |
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Week 17 |
1/05,1/07 |
Slopes, Areas and Arc Length for Polar Curves. Polar Conics. |
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