13.3 Arc Length and Curvature

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第十章 Parametric Equations and Polar Coordinates
10.3 Polar Coordinates
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10.4 Areas and Lengths in Polar Coordinates線上觀看MP4下載
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)
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11.2 Series線上觀看MP4下載
11.3 The Integral Test and Estimates of Sums線上觀看MP4下載
11.4 The Comparison Tests線上觀看MP4下載
11.5 Alternating Series線上觀看MP4下載
11.6 Absolute Convergence and the Ratio and Root Tests線上觀看MP4下載
11.8 Power Series線上觀看MP4下載
11.9 Representations of Functions as Power Series線上觀看MP4下載
11.10 Taylor and Maclaurin Series線上觀看MP4下載
11.11 Applications of Taylor Polynomials線上觀看MP4下載
第十二章 Vectors and the Geometry of Space
12.2 Vectors
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12.3 The Dot Product線上觀看MP4下載
12.4 The Cross Product線上觀看MP4下載
12.5 Equations of Lines and Planes線上觀看MP4下載
12.6 Cylinders and Quadratic Surface線上觀看MP4下載
第十三章 Vector Functions
13.1 Vector Functions and Space Curves
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13.2 Derivatives and Integrals of Vector Functions線上觀看MP4下載
13.3 Arc Length and Curvature線上觀看MP4下載
14.1 Functions of Several Variables線上觀看MP4下載
14.2 Limits and Continuity線上觀看MP4下載
14.3 Partial Derivatives線上觀看MP4下載
14.4 Tangent Planes and Linear Approximation線上觀看MP4下載
14.5 The Chain Rule線上觀看MP4下載
14.6 Directional Derivatives and Gradient Vector線上觀看MP4下載
14.7 Maximum and Minimum Values線上觀看MP4下載
14.8 Lagrange Multipliers線上觀看MP4下載
15.1 Double Integrals over Rectangles線上觀看MP4下載
15.2 Iterated Integrals線上觀看MP4下載
15.3 Double Integrals over General Regions線上觀看MP4下載
15.4 Double Integrals in Polar Coordinates線上觀看MP4下載
15.5 Applications of Double Integrals線上觀看MP4下載
15.6 Surface Area線上觀看MP4下載
15.7 Triple Integrals線上觀看MP4下載
15.8 Triple Integrals in Cylindrical Coordinates線上觀看MP4下載
15.9 Triple Integrals in Spherical Coordinates線上觀看MP4下載
15.10 Change of Variables in Multiple Integrals線上觀看MP4下載
Chapter16 : Vector Calculus
16.0 Introduction
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16.1 Vector Fields線上觀看MP4下載
16.2 Line (Curve) Integrals線上觀看MP4下載
16.3 The Fundamental Theorem for Line Integrals線上觀看MP4下載
16.4 Green's Theorem
(‘二維’的微積分基本定理)
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