12.3 The Dot Product

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週次	課程內容	課程影音
	第十一章 Infinite Sequences and Series 11.1 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 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 The Binomial Series	線上觀看
	第11章課程回顧	線上觀看
	第十二章 Vectors and the Geometry of Space 12.1 Three-Dimensional Coordinate Systems	線上觀看
	12.2 Vectors	線上觀看
	12.3 The Dot Product	線上觀看
	12.4 The Cross Product 勘誤：影片37：16秒之手稿上方處應為 1/2\|PQxPR\| = （5/2）√82	線上觀看
	12.5 Equations of Lines and Planes	線上觀看
	12.6 Cylinders and Quadric Surface	線上觀看
	12.7 Cylindrical and Spherical Coordinates	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
	第十四章 Partial Derivatives 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 Approximations	線上觀看
	14.5 The Chain Rule	線上觀看
	14.6 Directional Derivatives and the Gradient Vector	線上觀看
	14.7 Maximum and Minimum Values	線上觀看
	14.8 Lagrange Multipliers	線上觀看
	第十五章 Multiple Integrals 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
	15.6 Surface Area	線上觀看
	15.7 Triple Integrals	線上觀看
	15.8 Triple Integrals in Cylindrical and Spherical Coordinates	線上觀看
	15.9 Change of Variables in Multiple Integrals	線上觀看
	Sterling Formula	線上觀看

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