13.3 Arc Length and Curvature

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週次	課程內容	課程影音
	課程介紹	線上觀看
	第十一章 Infinite Sequences and Series 11.1-1 Sequences	線上觀看
	11.1-2 Sequences	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 Test	線上觀看
	11.5 Alternating Series (I)	線上觀看
	11.5 Alternating Series (II)	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 (I)	線上觀看
	11.9 Representations of Functions as Power Series (II)	線上觀看
	11.10 Taylor and Maclaurin Series (I)	線上觀看
	11.10 Taylor and Maclaurin Series (II)	線上觀看
	11.11 Applications of Taylor Polynomials	線上觀看
	第十二章 Vectors and the Geometry of Space 12.5 Equations of Lines and Planes	線上觀看
	12.6 Cylinders and Quadric Surfaces	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 (I)	線上觀看
	13.2 Derivatives and Integrals of Vector Functions (II)	線上觀看
	13.3 Arc Length and Curvature	線上觀看
	13.4 Motion in Space: Velocity and Acceleration	線上觀看
	第十四章 Partial Derivatives 14.1 Functions of Several Variable	線上觀看
	14.2 Limits and Continuity (I)	線上觀看
	14.2 Limits and Continuity (II)	線上觀看
	14.3 Partial Derivatives	線上觀看
	14.4 Tangent Planes and Differentials (I)	線上觀看
	14.4 Tangent Planes and Differentials (II)	線上觀看
	14.5 The Chain Rule (I)	線上觀看
	14.5 The Chain Rule (II)	線上觀看
	14.6 Directional Derivatives and the Gradient Vector	線上觀看
	14.7 Maximum and Minimum Values (I)	線上觀看
	14.7 Maximum and Minimum Values (II)	線上觀看
	14.8 Lagrange Multipliers (I)	線上觀看
	14.8 Lagrange Multipliers (II)	線上觀看
	14.8 Lagrange Multipliers (III)	線上觀看
	第十五章 Multiple Integrals 15.1 Double Integrals over Rectangular	線上觀看
	15.2 Iterated Integrals	線上觀看
	15.3 Double Integrals over General Regions (I)	線上觀看
	15.3 Double Integrals over General Regions (II)	線上觀看
	15.4 Double Integrals in Polar Coordinates	線上觀看
	15.5 Application of Double Integrals	線上觀看
	15.6 Triple Integrals (I)	線上觀看
	15.6 Triple Integrals (II)	線上觀看
	15.7 Triple Integrals in Cylindrical Coordinates 15.8 Triple Integrals in Spherical Coordinates	線上觀看
	15.9 Change of Variables in Multiple Integrals (I)	線上觀看
	15.9 Change of Variables in Multiple Integrals (II)	線上觀看

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