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課程名稱 |
微積分甲下
CALCULUS (GENERAL MATHEMATICS) (A)(2) |
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開課學期 |
97-2 |
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授課對象 |
土木工程學系 |
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授課教師 |
張志中 |
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課號 |
MATH1202 |
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課程識別碼 |
201 101A2 |
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班次 |
13 |
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學分 |
4 |
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全/半年 |
全年 |
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必/選修 |
必帶 |
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上課時間 |
星期二7,8,9(14:20~17:20)星期四5,6(12:20~14:10) |
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上課地點 |
新203新203 |
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備註 |
統一教學.二9為實習課.兼通識A6。
限本系所學生(含輔系、雙修生)
總人數上限：130人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/972cal |
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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 |
Sequence, series, and multidimensional calculus |
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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 |
First semester calculus |
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預期每週課後學習時數 |
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Office Hours |
另約時間 |
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參考書目 |
James Stewart, Calculus
Early Transcendentals, 6th
edition. |
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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. |
期中考 |
40% |
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2. |
期末考 |
40% |
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3. |
隨堂測驗 |
20% |
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4. |
作業 |
0% |
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5. |
報告 |
0% |
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週次 |
日期 |
單元主題 |
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第1週 |
2/17,2/19 |
11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums |
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第2週 |
2/24,2/26 |
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests |
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第3週 |
3/03,3/05 |
11.7 Strategy for Testing Series
11.8 Power Series
11.9 Representations of Functions as Power Series |
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第4週 |
3/10,3/12 |
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials |
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第5週 |
3/17,3/19 |
13.1 Vector Functions and Space Curves
13.2 Derivatives and Integrals of Vector Functions
13.3 Arc Length and Curvature
13.4 Motion in Space: Velocity and Acceleration |
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第6週 |
3/24,3/26 |
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives |
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第7週 |
3/31,4/02 |
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient Vector |
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第8週 |
4/07,4/09 |
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers |
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第9週 |
4/14,4/16 |
15.1 Double Integrals over Rectangles
15.2 Iterated Integrals
4/18 (六) 9:00 ~ 11:30AM 期中考 (11、13、14章，英文命題) |
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第10週 |
4/21,4/23 |
15.3 Double Integrals over General Regions
15.4 Double Integrals in Polar Coordinates |
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第11週 |
4/28,4/30 |
15.5 Applications of Double Integrals (※)
15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates |
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第12週 |
5/05,5/07 |
15.8 Triple Integrals in Spherical Coordinates
15.9 Change of Variables in Multiple Integrals |
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第13週 |
5/12,5/14 |
16.1 Vector Fields
16.2 Line Integrals
16.3 The Fundamental Theorem for Line Integrals |
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第15週 |
5/26,5/28 |
16.6 Parametric Surfaces and Their Areas
16.7 Surface Integrals 5/28(四)、5/29(五)放假 |
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第17週 |
6/09,6/11 |
16.10 Summary
6/13 (六) 9:00 ~ 11:30AM 期末考 (15、16章，英文命題) |
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