微積分甲(二)

在探討(人文、社會、自然、資訊)科學問題過程中,「數學」扮演關鍵的一環。希望藉由「微積分」的課程,建立基本數學觀念, 教授「極限」、「微分」與「積分」之方法與計算。期待在有基本數學觀念後,於探究科學問題時,能以這些基本數學想法作為基礎或類比。

微積分(一)

無備註

請見張書銘老師教學網站 http://www.math.nctu.edu.tw/~smchang/0602/C.html

請見張書銘老師教學網站 http://www.math.nctu.edu.tw/~smchang/0602/C.html

• Ch11 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 11.8 Power Series 11.9 Representations of Functions as Power Series 11.10 Taylor and Maclaurin Series 11.11 Applications of Taylor Polynomials

  講授：

  14 hours

• ◆Ch12 Vectors and the Geometry of Space

  12.1 Three-Dimensional Coordinate Systems 12.2 Vectors 12.3 The Dot Product 12.4 The Cross Product 12.5 Equations of Lines and Planes 12.6 Cylinders and Quadric Surface

  講授：

  4 hours

• Ch13 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

  講授：

  5 hours

• Ch10 Parametric Equations and Polar Coordinates

  10.3 Polar Coordinates 10.4 Areas and Lengths in Polar Coordinates

  講授：

  2 hours

• Ch14 Partial Derivatives

  14.1 Functions of Several Variables 14.2 Limits and Continuity 14.3 Partial Derivatives 14.4 Tangent Plans 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

  講授：

  16 hours

• Ch15 Multiple Integrals

  15.1 Double Integrals over Rectangles 15.2 Double Integrals over General Regions 15.3 Double Integrals in Polar Coordinates ◆ 15.4 Application of Double Integrals 15.5 Surface Area 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

  講授：

  11 hours

• ◆Ch16 Vector Calculus

  ◆ 16.1 Vector fields ◆ 16.2 Line integrals ◆ 16.3 The fundamental Theorem for line integrals ◆ 16.4 Green's Theorem

  講授：

  0 hour

Calculus(Early Transcendentals), James Stewart, 8th Edition

地點

科一館235

時間

(一) 17:30~18:20,(四)12:20~13:10

聯絡方式

欲前來晤談者,請事先用電子郵件預約。 smchang@math.nctu.edu.tw