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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 |
99-2 |
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授課對象 |
資訊管理學系 |
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授課教師 |
劉瓊如 |
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課號 |
MATH1202 |
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課程識別碼 |
201 101A2 |
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班次 |
02 |
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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204新202新202 |
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備註 |
統一教學.大二以上限20人.一9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/992cal02 |
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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 |
講述課本11.1~17.2 |
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課程目標 |
Study sequences and series to practice the process of approximation, and the skills of estimation and
error controls. Learn the tools and techniques for analyzing and utilizing regular multi-variable
mappings and vector fields. |
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課程要求 |
Midterm exam: 40%, Final exam: 40%, Quizzes and/or homework: 20% |
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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 |
James Stewart, Calculus, Early Transcendentals, 6th edition. |
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參考書目 |
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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. |
quizzes and homework |
20% |
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2. |
midterm |
40% |
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3. |
final |
40% |
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週次 |
日期 |
單元主題 |
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第1週 |
2/21,2/23,2/25 |
11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums |
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第2週 |
2/28,3/02,3/04 |
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 |
3/07,3/09,3/11 |
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 |
3/14,3/16,3/18 |
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials |
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第5週 |
3/21,3/23,3/25 |
13.1 Vector Functions and Space Curves
13.2 Derivatives and Integrals of Vector Functions
13.3 Arc Length and Curvature |
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第6週 |
3/28,3/30,4/01 |
12.6 Cylinders and Quadric Surfaces
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives |
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第7週 |
4/04,4/06,4/08 |
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule |
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第8週 |
4/11,4/13,4/15 |
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values |
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第9週 |
4/18,4/20,4/22 |
14.8 Lagrange Multipliers |
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第10週 |
4/25,4/27,4/29 |
15.1 Double Integrals over Rectangles
15.2 Iterated Integrals
15.3 Double Integrals over General Regions |
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第11週 |
5/02,5/04,5/06 |
15.4 Double Integrals in Polar Coordinates
15.5 Applications of Double Integrals
15.6 Triple Integrals |
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第12週 |
5/09,5/11,5/13 |
15.7 Triple Integrals in Cylindrical Coordinates
15.8 Triple Integrals in Spherical Coordinates
15.9 Change of Variables in Multiple Integrals |
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第13週 |
5/16,5/18,5/20 |
16.1 Vector Fields
16.2 Line Integrals |
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第14週 |
5/23,5/25,5/27 |
16.3 The Fundamental Theorem for Line Integrals
16.4 Green's Theorem |
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第15週 |
5/30,6/01,6/03 |
16.5 Curl and Divergence
16.6 Parametric Surfaces and Their Areas
16.7 Surface Integrals |
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第16週 |
6/06,6/08,6/10 |
16.8 Stokes' Theorem
16.9 The Divergence Theorem
16.10 Summary |
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第17週 |
6/13,6/15,6/17 |
17.1 Second-Order Linear Equations
17.2 Nonhomogeneous Linear Equations |
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