課程資訊

CALCULUS (GENERAL MATHEMATICS) (A)(2)

97-2

MATH1202

201 101A2

09

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/972CalA09

11. Infinite Sequences and Series
11.1 Sequences
11.2 Series
11.3 The Integral Test and Estimates of Sums
11.4 The Comparison Tests
11.5 Alternating Series
11.6 Absolute Convergence and the Ratio and Root Tests
11.7 Strategy for Testing Series
11.8 Power Series
11.9 Representations of Functions as Power Series
11.10 Taylor and Maclaurin Series
11.11 Applications of Taylor Polynomials
13. Vector Functions
13.1 Vector Functions and Space Curves
13.2 Derivatives and Integrals of Vector Functions
13.3 Arc Length and Curvature
13.4 Motion in Space: Velocity and Acceleration
14. Partial Derivatives
14.1 Functions of Several Variables
14.2 Limits and Continuity
14.3 Partial Derivatives
14.4 Tangent Planes and Linear Approximations
14.5 The Chain Rule
14.6 Directional Derivatives and the Gradient Vector
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers
15. Multiple Integrals
15.1 Double Integrals over rectangles
15.2 Iterated Integrals
15.3 Double Integrals over General Regions
15.4 Double Integrals in Polar Coordinates
15.5 Applications of Double Integrals
15.6 Triple Integrals
15.7 Triple Integrals in Cylindrical Coordinates
15.8 Triple Integrals in Spherical Coordinates
15.9 Change of Variables in Multiple Integrals
16. Vector Calculus
16.1 Vector Fields
16.2 Line Integrals
16.3 The Fundamental Theorem for Line Integrals
16.4 Green's Theorem
16.5 Curl and Divergence
16.6 Parametric Surfaces and Their Areas
16.7 Surface Integrals
16.8 Stokes' Theorem
16.9 The Divergence Theorem
16.10 Summary

Study sequences and series to understand the process of approximation; learn the skills estimate and control the errors of approximation; acquaint with the tools and techniques for analyzing regular multi-variable mappings and vector fields.

08-12班：上課時間：三78 五12 、 實習課時間：三9
13班： 上課時間：二78 四56 、 實習課時間：二9

Office Hours

(僅供參考)

 No. 項目 百分比 說明 1. 期中考 40% 2. 期末考 40% 3. 習題課隨堂測驗 20%

 課程進度
 週次 日期 單元主題 第1週 2/18,2/20 Textbook: 11.1 - 11.3 第2週 2/25,2/27 11.4 - 11.6 第3週 3/04,3/06 11.7 - 11.9 [Quiz 1 (Weeks 1,2)] 第4週 3/11,3/13 11.10 - 11.11 (& Chap 12) 第5週 3/18,3/20 13.1 - 13.3 [Quiz 2 (Weeks 3,4)] 第6週 3/25,3/27 14.1 - 14.4 第7週 4/01,4/03 14.5 - 14.6 [Quiz 3 (Weeks 5,6)] 第8週 4/08,4/10 14.7, 14.8 第9週 4/15,4/17 15.1, 15.2 [Quiz 4 (Weeks 7,8)] (Midterm exam on Saturday) 第10週 4/22,4/24 15.3, 15.4 第11週 4/29,5/01 15.6, 15.7 [Quiz 5 (Weeks 9,10)] 第12週 5/06,5/08 15.8, 15.9 第13週 5/13,5/15 16.1 - 16.3 [Quiz 6 (Week 11,12)] 第14週 5/20,5/22 16.4, 16.5 第15週 5/27,5/29 16.6, 16.7 [Quiz 7 (Week 13,14)] 第16週 6/03,6/05 16.8 - 16.10 第17週 6/10,6/12 (Final on Saturday)