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微積分(二) Calculus II - 103學年度

課程行事曆

  • 微積分(二) Calculus II - 103學年度

課程行事曆  

本課程行事曆提供課程進度與考試資訊。

◆表示選教

課程進度、內容、主題

學習時數

第十章 Parametric Equations and Polar Coordinates

  • 10.3 Polar Coordinates
  • 10.4 Areas and Lengths in Polar Coordinates
3小時

第十一章 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
14小時

第十二章 Vectors and the Geometry of Space (選教)

  • 12.1 Three-Dimensional Coordinate Systems
  • 12.2 Vectors
  • 12.3 The Dot Product
    (12.1 12.2 與 12.3 為複習課程)
  • 12.4 The Cross Product
  • 12.5 Equations of Lines and Planes
  • 12.6 Cylinders and Quadric Surface
4小時

第十三章 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
5小時

第十四章 Partial Derivatives

  • 14.1 Functions of Several Variables
  • 14.2 Limits and Continuity
  • 14.3 Partial Derivatives
  • 14.4 Tangent Plans and Differentials
  • 14.5 The Chain Rule
  • 14.6 Directional Derivatives and the Gradient Vector
  • 14.7 Maximum and Minimum Values
  • 14.8 Lagrange Multipliers
16小時

第十五章 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 Application of Double Integrals
  • ◆ 15.6 Surface Area
  • 15.7 Triple Integrals
  • 15.8 Triple Integrals in Cylindrical Coordinates
  • 15.9 Triple Integrals in Spherical Coordinates
  • 15.10 Change of Variables in Multiple Integrals
11小時
第十六章 Vector Calculus (選教)
  • ◆ 16.1 Vector fields
  • ◆ 16.2 Line integrals
  • ◆ 16.3 The fundamental Theorem for line integrals
  • ◆ 16.4 Green's Theorem  
0小時

 


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