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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 |
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授課教師 |
蔡雅如 |
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課號 |
MATH1202 |
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課程識別碼 |
201 101A2 |
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班次 |
04 |
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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304新304新304 |
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備註 |
統一教學.大二以上限20人.一9為實習課.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：100人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/972cal04 |
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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 |
This is the second semester of first year Calculus A. |
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課程目標 |
The goal of the course is to introduce multivariate calculus so student can use them in various applications. |
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課程要求 |
Students are expected to attend all lectures and TA sessions, as well as spend six hours per week to review course material and practice homework questions. |
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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, 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. |
平時成績 |
20% |
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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
11.2 Series
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests |
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第2週 |
2/23,2/25,2/27 |
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series |
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第3週 |
3/02,3/04,3/06 |
*Quiz 1
11.8 Power Series
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials |
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第4週 |
3/09,3/11,3/13 |
12.4 The Cross Product
12.6 Cylinders and Quadric Surfaces
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
13.3 Arc Length and Curvature
13.4 Motion in Space: Velocity and Acceleration |
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第6週 |
3/23,3/25,3/27 |
*Quiz 2
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives |
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第7週 |
3/30,4/01,4/03 |
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient Vector 4/2、4/3放假 |
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第8週 |
4/06,4/08,4/10 |
*Quiz 3
14.7 Maximum and Minimum Values
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
15.2 Iterated Integrals
15.3 Double Integrals over General Regions
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
15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates |
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第12週 |
5/04,5/06,5/08 |
*Quiz 4
15.8 Triple Integrals in Spherical Coordinates
15.9 Change of Variables in Multiple Integrals
16.1 Vector Fields
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
16.4 Green's Theorem
16.5 Curl and Divergence |
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第14週 |
5/18,5/20,5/22 |
*Quiz 5
16.6 Parametric Surfaces and Their Areas
16.7 Surface Integrals
16.8 Stokes' Theorem |
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第15週 |
5/25,5/27,5/29 |
16.9 The Divergence Theorem
16.10 Summary
17.1 Second-Order Linear Equations
5/28、29放假 |
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第16週 |
6/01,6/03,6/05 |
17.2 Nonhomogeneous Linear Equations
17.3 Applications of Second-Order Differential Equations
17.4 Series Solutions
6/6(六) 補班 (畢業典禮) |
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第17週 |
6/08,6/10,6/12 |
*Quiz 6
緩衝時間 |
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第18週 |
6/17 |
期末考6/17（三） |
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