《微積分IV:線積分、面積分、向量場、格林函數(shù)、散度函數(shù)》課程 by Tr...

##Vector Calculus
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01What is VECTOR CALCULUS??**Full Course Introduction** P1 - 00:00
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Vector Function:(dot)->(vector)
eg:field(electric~)(gravity~)
可以用向量空間映到一維實軸(閉合等值面,保守場),也可用向量值函數(shù)描述場(流體模型)
Curve Integrals & Surface Integrals on Vector Field
Flow


局域與全區(qū)間的關(guān)系

Relationships between Local Properties & Global Properties
?Parameterization
Identity Vector on Unit Circle :r(t)-> sin(t)+cos(t)
Velocity and Track
Arc length=Magnitude of Vector
Arclength Parameter s
Time Parameter t

Line Integral
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02Curves, Parameterizations, and the Arclength Parameterization P2 - 00:00
?Parameterizationism 參數(shù)化(即化為Vector Valued Functions向量值函數(shù))
Unit tangent
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02Curves, Parameterizations, and the Arclength Parameterization P2 - 05:33
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