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 微積分(二) Calculus II - 第十一章 Infinite Sequences and Series 11.1 Sequences

 週次 章節 影音格式 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 The Binomial Series 第11章 課程回顧 第十二章 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 12.7 Cylindrical and Spherical Coordinates 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 第十四章 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 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 15.6 Surface Area 15.7 Triple Integrals 15.8 Triple Integrals in Cylindrical and Spherical Coordinates 15.9 Change of Variables in Multiple Integrals Sterling Formula
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