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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 |
104-2 |
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授課對象 |
化學系 |
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授課教師 |
莊正良 |
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課號 |
MATH1202 |
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課程識別碼 |
201 101A2 |
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班次 |
08 |
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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 |
星期三8,9,10(15:30~18:20)星期五1,2(8:10~10:00) |
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上課地點 |
新302新302 |
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備註 |
統一教學.大二以上限20人.三10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/1042MATH1202_08 |
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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 |
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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/~mathcal/a/ |
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預期每週課後學習時數 |
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Office Hours |
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參考書目 |
James Stewart, Calculus Early Transcendentals, 7th edition. ( Metric Version ) |
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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. |
小考 |
20% |
細節由實習課教學助理另訂 |
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週次 |
日期 |
單元主題 |
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第1週 |
2/24,2/26 |
[11.1] Sequences
[11.2] Series
[11.3] The Integral Test and Estimates of Sums
[11.4] The Comparison Tests
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第2週 |
3/02,3/04 |
[11.5] Alternating Series
[11.6] Absolute Convergence and the Ratio and Root Tests
[11.7] Strategy for Testing Series
[11.8] Power Series |
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第3週 |
3/09,3/11 |
[11.9] Representations of Functions as Power Series
[11.10] Taylor and Maclaurin Series |
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第4週 |
3/16,3/18 |
[11.11] Applications of Taylor Polynomials
[12.6] Cylinders and Quadric Surfaces
[13.1] Vector Functions and Space Curves
3/16 Quiz 1 (11.1~11.8) |
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第5週 |
3/23,3/25 |
緩衝時間
[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 |
3/30,4/01 |
[14.1] Functions of Several Variables
3/30 Quiz 2 (11.9~13.3)
4/1(五) 溫書假 |
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第7週 |
4/06,4/08 |
[14.2] Limits and Continuity
[14.3] Partial Derivatives
[14.4] Tangent Planes and Linear Approximations
[14.5] The Chain Rule |
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第8週 |
4/13,4/15 |
[14.6] Directional Derivatives and the Gradient Vector
[14.7] Maximum and Minimum Values |
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第9週 |
4/20,4/22 |
[14.8] Lagrange Multipliers
緩衝時間
4/20 Quiz 3 (14.1~14.6)
期中考 4/23（六） 09：00∼11：30 考試範圍：11.1∼14.8 |
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第10週 |
4/27,4/29 |
[15.1] Double Integrals over Rectangles
[15.2] Iterated Integrals
[15.3] Double Integrals over General Regions |
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第11週 |
5/04,5/06 |
[15.4] Double Integrals in Polar Coordinates
[15.5] Applications of Double Integrals（＊）
[15.6] Surface Area
[15.7] Triple Integral |
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第12週 |
5/11,5/13 |
[15.8] Triple Integrals in Cylindrical Coordinates
[15.9] Triple Integrals in Spherical Coordinates
[15.10] Change of Variables in Multiple Integrals |
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第13週 |
5/18,5/20 |
緩衝時間
[16.1] Vector Fields
[16.2] Line Integrals
5/18 Quiz 4 (15.1~15.9) |
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第14週 |
5/25,5/27 |
[16.3] The Fundamental Theorem for Line Integrals
[16.4] Green's Theorem |
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第15週 |
6/01,6/03 |
[16.5] Curl and Divergence
[16.6] Parametric Surfaces and Their Areas
[16.7] Surface Integrals
6/1 Quiz 5 (15.10~16.3)
6/4(六) 補 6/10 的課 |
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第16週 |
6/08,6/10 |
[16.8] Stokes' Theorem
6/10(五) 調整放假 |
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第17週 |
6/15,6/17 |
[16.9] The Divergence Theorem
[16.10] Summary
緩衝時間
6/15 Quiz 6 (16.4~16.8)
期末考 6/18（六） 09：00∼11：30 考試範圍：15.1∼16.10 |
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