14.4 Tangent Planes and Linear Approximation

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14.4 Tangent Planes and Linear Approximation

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週次	課程內容	課程影音
	第十章 Parametric Equations and Polar Coordinates 10.3 Polar Coordinates	線上觀看
	10.4 Areas and Lengths in Polar Coordinates	線上觀看
	第十一章 Infinite Sequences and Series 11.1 Sequences (本影片07:08處 a3=0為正解，a3=-1為錯誤答案)	線上觀看
	11.2 Series	線上觀看
	11.3 The Integral Test and Estimates of Sums	線上觀看
	11.4 The Comparison Tests	線上觀看
	11.5 Alternating Series	線上觀看
	11.6 Absolute Convergence and the Ratio and Root Tests	線上觀看
	11.8 Power Series	線上觀看
	11.9 Representations of Functions as Power Series	線上觀看
	11.10 Taylor and Maclaurin Series	線上觀看
	11.11 Applications of Taylor Polynomials	線上觀看
	第十二章 Vectors and the Geometry of Space 12.2 Vectors	線上觀看
	12.3 The Dot Product	線上觀看
	12.4 The Cross Product	線上觀看
	12.5 Equations of Lines and Planes	線上觀看
	12.6 Cylinders and Quadratic Surface	線上觀看
	第十三章 Vector Functions 13.1 Vector Functions and Space Curves	線上觀看
	13.2 Derivatives and Integrals of Vector Functions	線上觀看
	13.3 Arc Length and Curvature	線上觀看
	14.1 Functions of Several Variables	線上觀看
	14.2 Limits and Continuity	線上觀看
	14.3 Partial Derivatives	線上觀看
	14.4 Tangent Planes and Linear Approximation	線上觀看
	14.5 The Chain Rule	線上觀看
	14.6 Directional Derivatives and Gradient Vector	線上觀看
	14.7 Maximum and Minimum Values	線上觀看
	14.8 Lagrange Multipliers	線上觀看
	15.1 Double Integrals over Rectangles	線上觀看
	15.2 Iterated Integrals	線上觀看
	15.3 Double Integrals over General Regions	線上觀看
	15.4 Double Integrals in Polar Coordinates	線上觀看
	15.5 Applications of Double Integrals	線上觀看
	15.6 Surface Area	線上觀看
	15.7 Triple Integrals	線上觀看
	15.8 Triple Integrals in Cylindrical Coordinates	線上觀看
	15.9 Triple Integrals in Spherical Coordinates	線上觀看
	15.10 Change of Variables in Multiple Integrals	線上觀看
	Chapter16 : Vector Calculus 16.0 Introduction	線上觀看
	16.1 Vector Fields	線上觀看
	16.2 Line (Curve) Integrals	線上觀看
	16.3 The Fundamental Theorem for Line Integrals	線上觀看
	16.4 Green's Theorem (‘二維’的微積分基本定理)	線上觀看

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