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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 |
生物環境系統工程學系 |
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授課教師 |
黃志強 |
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課號 |
MATH1202 |
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課程識別碼 |
201 101A2 |
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班次 |
11 |
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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 |
星期一6,7(13:20~15:10)星期五1,2(8:10~10:00) |
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上課地點 |
普101普101 |
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備註 |
大二以上限20人。
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/1042MATH1202_11 |
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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 |
Introduce "Infinite Series", "Vector-Valued Functions", "Functions of Several Variables", "Multiple Integration" and "Vector Analysis". |
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課程目標 |
(1) Understand the relations between series and integration.
(2) Use the operations of "Differentiation and Integration" in R^2 and R^3 |
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課程要求 |
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預期每週課後學習時數 |
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Office Hours |
每週四 12:00~13:30 |
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指定閱讀 |
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參考書目 |
10th edition. Calculus/ Larson;Edwards;Shann |
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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(Midterm Exam) |
30% |
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2. |
期末考(Final Exam) |
40% |
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3. |
小考(Quiz) |
40% |
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週次 |
日期 |
單元主題 |
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第1週 |
2/22,2/26 |
Introduction
9.1 Sequences
9.2 Series and Convergence
9.3 The Integral Test and p-Series
9.4 Comparisons of Series |
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第2週 |
2/29,3/04 |
Peace Memorial Day
9.5 Alternating Series
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第3週 |
3/07,3/11 |
9.6 The Ratio and Root Tests
9.7 Taylor Polynomials and Approximations
9.8 Power Series
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第4週 |
3/14,3/18 |
9.9 Representation of Functions by Power Series
9.10 Taylor and Maclaurin Series
Quiz 1 (9.1-9.8)
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第5週 |
3/21,3/25 |
10.2 Plane Curves and Parametric Equations
10.3 Parametric Equations and Calculus
10.4 Polar Coordinates and Polar Graphs
10.5 Area and Arc Length in Polar Coordinates
11.6 Surfaces in Space
11.7 Cylindrical and Spherical Coordinates
12.1 Vector-Valued Function
12.2 Differentiation and Integration of Vector-Valued Functions
12.3 Velocity and Acceleration
12.4 Tangent Vectors and Normal Vectors |
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第6週 |
3/28,4/01 |
12.5 Arc Length and Curvature
Holiday |
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第7週 |
4/04,4/08 |
Holiday
13.1 Introduction to Functions of Several Variables
13.2 Limits and Continuity
13.3 Partial Derivatives
13.4 Differentials |
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第8週 |
4/11,4/15 |
13.4 Differentials
13.5 Chain Rules for Functions of Several Variables
Quiz 2(04/11,Ch9-Ch12) |
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第9週 |
4/18,4/22 |
Midterm Exam 04/18(Ch9-13.5)
13.6 Directional Derivatives and Gradients |
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第10週 |
4/25,4/29 |
13.6 Directional Derivatives and Gradients
13.7 Tangent Planes and Normal Lines
13.8 Extrema of Functions of Two Variables |
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第11週 |
5/02,5/06 |
13.8 Extrema of Functions of Two Variables
13.9 Applications of Extrema
13.10 Lagrange Multipliers |
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第12週 |
5/09,5/13 |
14.1 Iterated Integrals and Area in the Plane
14.2 Double Integrals and Volume
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第13週 |
5/16,5/20 |
Quiz 3(05/16,13.6-13.10)
14.3 Change of Variables: Polar Coordinates
14.5 Surface Area |
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第14週 |
5/23,5/27 |
14.6 Triple Integrals and Applications
14.7 Triple Integrals in Other Coordinates
14.8 Change of Variables: Jacobians
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第15週 |
5/30,6/03 |
15.1 Vector Fields
15.2 Line Integrals |
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第16週 |
6/06,6/10 |
Quiz 4(06/06,Ch14)
15.3 Conservative Vector Fields and Independence of Path
15.4 Green’s Theorem |
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第17週 |
6/13,6/17 |
15.4 Green’s Theorem
15.5 Parametric Surfaces
15.6 Surface Integrals
15.7 Divergence Theorem
15.8 Stokes’s Theorem |
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第18週 |
6/20,6/24 |
Final Exam(06/2013.5-15.8) |
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