11.6 Directional Derivatives and the Gradient Vector(2/3)

週次課程內容課程影音
1Chapter 8 Sequences, Series, and Power Series
Introduction
8.1 Sequences
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28.1 Sequences
8.2 Series
8.3 The Integral Test
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38.1-8.3的補充例題 (Other Examples for 8.1-8.3)
8.4 Comparison Tests
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4正項級數斂散性的複習 (Review of the Test for Convergence of Series with Non-negative Terms)
8.5 The Ratio and Root Tests
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58.6 Alternating Series and Absolute Convergence線上觀看
68.7 Power Series
8.8 Representation of Functions as Power Series(1/2)
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78.8 Representation of Functions as Power Series(2/2)
8.9 Taylor Series and Maclaurin Series(1/3)
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88.9 Taylor Series and Maclaurin Series(2/3)線上觀看
98.9 Taylor Series and Maclaurin Series(3/3)線上觀看
10Rearrangement of Series and Binomial Series線上觀看
11Chapter 9 Vector and the Geometry of Space
9.1 Vectors in the Plane
9.2 Vectors in Space
9.3 The Dot Product of Two Vectors in Space
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12Chapter 10 Vector Functions
10.1 Vector Functions and Space Curves(1/2)
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1310.1 Vector Functions and Space Curves(2/2)
10.2 Differentiation and Integration of Vector Function(1/2)
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1410.2 Differentiation and Integration of Vector Function(2/2)
10.3 Arc Length and Curvature(1/2)
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1510.3 Arc Length and Curvature(2/2)
Chapter 11 Partial Derivatives
11.1 Functions of Several Variables
11.2 Limits and Continuity(1/3)
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1611.2 Limits and Continuity(2/3)線上觀看
1711.2 Limits and Continuity(3/3)線上觀看
1811.3 Partial Derivatives
11.4 Tangent Plane and Linear Approximation(1/2)
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1911.4 Tangent Plane and Linear Approximation(2/2)
11.5 The Chain Rule(1/2)
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2011.5 The Chain Rule(2/2)
11.6 Directional Derivatives and the Gradient Vector(1/3)
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2111.6 Directional Derivatives and the Gradient Vector(2/3)線上觀看
2211.6 Directional Derivatives and the Gradient Vector(3/3)
11.7 Maximum and Minimum Values(1/2)
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2311.7 Maximum and Minimum Values(2/2)
11.8 Lagrange Multiplier Method
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24Chapter 12 Multiple Integrals
12.1 Iterated Integrals(1/2)
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2512.1 Iterated Integrals(2/2)
12.2 Double Integrals(1/2)
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2612.2 Double Integrals(2/2)線上觀看
2712.3 Double Integrals in Polar Coordinates
12.4 Surface Area
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2812.5 Triple Integrals(1/2)線上觀看
2912.5 Triple Integrals(2/2)
12.6 Triple Integrals in Cylindrical Coordinates
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3012.7 Triple Integrals in Spherical Coordinates線上觀看
3112.8 Change of Variables in Multiple Integrals線上觀看