14-4 Tangent Lanes and Linear Approximations

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14-4 Tangent Lanes and Linear Approximations

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週次	課程內容	課程影音
	Chapter11 Functions and Model 11-1 Sequences	線上觀看
	11-2 Series 11-3 The Integral Test and Estimates of Sums 11-4 The Comparison Tests	線上觀看
	11-4 The Comparison Tests 11-5 Alternating Series	線上觀看
	11-6 Absolute Convergence and the Ratio and Root Tests 11-8 Power Series	線上觀看
	11-9 Representations of Functions as Power Series 11-10 Taylor and Maclaurin Series	線上觀看
	11-10 Taylor and Maclaurin Series	線上觀看
	11-11 The Binomial Series 11-12 Applications of Taylor Polynomials Chapter12 Vectors and the Geometry of Space 12-1 Three-Dimensional Coordinate Systems 12-2 Vectors 12-3 The Dot Product	線上觀看
	12-4 The Cross Product 12-5 Equations of Lines and Planes 12-6 Cylinders and Quadric Surface	線上觀看
	12-6 Cylinders and Quadric Surface 12-7 Cylindrical and Spherical Coordinates Chapter13 Vector Functions 13-1 Vector Functions and Space Curves	線上觀看
	13-1 Vector Functions and Space Curves 13-2 Derivatives and Integrals of Vector Functions	線上觀看
	13-2 Derivatives and Integrals of Vector Functions 13-3 Arc Length and Curvature 13-4 Motion in Space:Velocity and Acceleration	線上觀看
	Chapter14 Partial Derivatives 14-1 Functions of Several Variables 14-2 Limits and Continuity	線上觀看
	14-3 Partial Derivatives	線上觀看
	14-4 Tangent Lanes and Linear Approximations	線上觀看
	14-5 The Chain Rule 14-6 Directional Derivatives and the Gradient Vector	線上觀看
	14-6 Directional Derivatives and the Gradient Vector 14-7 Maximum and Minimum Values	線上觀看
	14-7 Maximum and Minimum Values 14-8 Lagrange Multipliers	線上觀看
	14-8 Lagrange Multipliers	線上觀看
	Chapter15 Multiple Integrals 15-1 Double Integrals over Rectangles 15-2 Iterated Integrals	線上觀看
	15-3 Double Integrals over General Regions 15-4 Double Integrals in Polar Coordinates	線上觀看
	15-6 Surface Area 15-7 Triple Integrals	線上觀看
	15-7 Triple Integrals 15-8 Triple Integrals in Cylindrical and Spherical Coordinates	線上觀看
	15-9 Change of Variables in Multiple Integrals Chapter16 Vector Calculus 16-1 Vector Fields	線上觀看
	16-2 Line Integrals 16-3 The Fundanental Theorem for Line Integrals	線上觀看
	16-3 The Fundanental Theorem for Line Integrals 16-5 Curl and Divergence	線上觀看
	16-6 Parametric Surface and Their Areas 16-7 Surface Area 16-8 Stokes Theorem 16-9 The Divergence Theorem	線上觀看

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