課程資訊

Calculus (general Mathematics) (a)(2)

99-2

MATH1202

201 101A2

04

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/992calculusA04

11. Infinite Sequences and Series
13. Vector Functions
14. Partial Derivatives
15. Multiple Integrals
16. Vector Calculus (which includes Green's Theorem, Stokes' Theorem and the Divergence Theorem)

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.

High School Mathematics

Office Hours

James Stewart, Calculus Early Transcendentals, 6th edition.

(僅供參考)

 No. 項目 百分比 說明 1. 平時成績 20% 作業, 小考〈四次取三次最好成績計算〉, 習題課參與度. 2. 期末考 40% 6/19(Sat) 13:30-16:00 3. 期中考 40% 4/24(Sat) 13:30-16:00

 課程進度
 週次 日期 單元主題 第1週 2/21,2/23,2/25 11.1 Sequences 11.2 Series 11.3 The integral Test and Estimates of Sums 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 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 第4週 3/14,3/16,3/18 11.10 Taylor and Maclaurin Series 11.11 Applications of Taylor Polynomials 緩衝時間 第5週 3/21,3/23,3/25 Quiz 1 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(*) 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 第7週 4/04,4/06,4/08 14.4 Tangent Planes and Linear Approximations 14.5 The Chain Rule 第8週 4/11,4/13,4/15 14.6 Directional Derivatives and the Gradient Vector 14.7 Maximum and Minimum Values 第9週 4/18,4/20,4/22 Quiz 2 14.8 Lagarange Multipliers 緩衝時間 第10週 4/25,4/27,4/29 15.1 Double Integrals over Rectangles 15.2 Iterated Integrals 15.3 Double over General Regions 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 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 第13週 5/16,5/18,5/20 Quiz 3 緩衝時間 16.1 Vector Fields 16.2 LIne Integrals 第14週 5/23,5/25,5/27 16.3 The Fundamental Theorem for Line Integrals 16.4 Green's Theorem 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 第16週 6/06,6/08,6/10 16.8 Stokes' Theorem 16.9 The Divergence Theorem 16.10 Summary 第17週 6/13,6/15,6/17 Quiz 4 17.1 Second-Order Linear Equations 17.2 Nonhomogeneous Linear Equations