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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 |
材料科學與工程學系 |
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授課教師 |
朱 樺 |
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課號 |
MATH1202 |
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課程識別碼 |
201 101A2 |
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班次 |
01 |
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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 |
星期一9(16:30~17:20)星期三5,6(12:20~14:10)星期五5,6(12:20~14:10) |
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上課地點 |
新102新102新102 |
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備註 |
統一教學.大二以上限20人.一9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：100人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/972cal_A2 |
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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 |
11. Infinite Sequences and Series
12. Vectors and the Geometry of Space
13. Vector Functions
14. Partial Derivatives
15. Multiple Integrals
16. Vector Calculus
17.Second-Order Differential Equations |
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課程目標 |
After completing this course, students should be well versed in the mathematical language needed for applying the concepts of calculus to numerous applications in science and engineering. They should also be well prepared for courses in differential equations, linear algebra, or advanced calculus. |
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課程要求 |
其它請上微積分統一教學網查詢：http://www.math.ntu.edu.tw/~cala972/
課程講義、筆記、勾選習題，請上朱樺老師網站查詢：http://www.math.ntu.edu.tw/~hchu/Calculus/ |
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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 |
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參考書目 |
James Stewart, CALCULUS, Early Transcendentals, 6th edition |
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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. |
平時成績 |
20% |
小考+作業+演習課表現 |
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週次 |
日期 |
單元主題 |
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第1週 |
2/16,2/18,2/20 |
11.1 Sequences <br>
11.2 Series <br>
11.3 The Integral Test and Estimates of Sums <br>
11.4 The Comparison Tests |
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第2週 |
2/23,2/25,2/27 |
11.5 Alternating Series <br>
11.6 Absolute Convergence and the Ratio and Root Tests <br>
11.7 Strategy for Testing Series |
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第3週 |
3/02,3/04,3/06 |
11.8 Power Series <br>
11.9 Representations of Functions as Power Series <br>
11.10 Taylor and Maclaurin Series <br>
11.11 Applications of Taylor Polynomials |
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第4週 |
3/09,3/11,3/13 |
12.4 The Cross Product <br>
12.6 Cylinders and Quadric Surfaces <br>
13.1 Vector Functions and Space Curves |
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第5週 |
3/16,3/18,3/20 |
13.2 Derivatives and Integrals of Vector Functions <br>
13.3 Arc Length and Curvature <br>
13.4 Motion in Space: Velocity and Acceleration |
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第6週 |
3/23,3/25,3/27 |
14.1 Functions of Several Variables <br>
14.2 Limits and Continuity <br>
14.3 Partial Derivatives |
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第7週 |
3/30,4/01,4/03 |
14.4 Tangent Planes and Linear Approximations <br>
14.5 The Chain Rule <br>
14.6 Directional Derivatives and the Gradient Vector <br>
4/2、4/3放假 |
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第8週 |
4/06,4/08,4/10 |
14.7 Maximum and Minimum Values <br>
14.8 Lagrange Multipliers |
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第9週 |
4/13,4/15,4/17 |
緩衝時間
期中考4/17（五） |
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第10週 |
4/20,4/22,4/24 |
15.1 Double Integrals over rectangles <br>
15.2 Iterated Integrals <br>
15.3 Double Integrals over General Regions <br>
15.4 Double Integrals in Polar Coordinates |
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第11週 |
4/27,4/29,5/01 |
15.5 Applications of Double Integrals <br>
15.6 Triple Integrals <br>
15.7 Triple Integrals in Cylindrical Coordinates |
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第12週 |
5/04,5/06,5/08 |
15.8 Triple Integrals in Spherical Coordinates <br>
15.9 Change of Variables in Multiple Integrals <br>
16.1 Vector Fields <br>
16.2 Line Integrals |
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第13週 |
5/11,5/13,5/15 |
16.3 The Fundamental Theorem for Line Integrals <br>
16.4 Green's Theorem <br>
16.5 Curl and Divergence |
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第14週 |
5/18,5/20,5/22 |
16.6 Parametric Surfaces and Their Areas <br>
16.7 Surface Integrals <br>
16.8 Stokes' Theorem |
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第15週 |
5/25,5/27,5/29 |
16.9 The Divergence Theorem <br>
16.10 Summary <br>
17.1 Second-Order Linear Equations <br>
5/28、29放假 |
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第16週 |
6/01,6/03,6/05 |
17.2 Nonhomogeneous Linear Equations <br>
17.3 Applications of Second-Order Differential Equations <br>
17.4 Series Solutions <br>
6/6(六) 補班 (畢業典禮) |
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第17週 |
6/08,6/10,6/12 |
緩衝時間 |
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第18週 |
6/15,6/17,6/19 |
期末考6/17（三） |
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