Lectures 20 and 21 Arc Length, Tangent and Normal Vectors, Curvature Calculus II Topic 3: Vector Functions
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Arc Length
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Arc Length for a Curve
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Length of a Curve
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Hang Glider Example
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Arc Length for a Straight Line:
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Tangent Vector to a Curve
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Tangent Vector of the Hang Glider
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Tangent Vector to the unit circle
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Classical Exercises (1): Calculate Arc Length, Length and Tangent Vector
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Classical Exercises (2): Calculate Arc Length, Length and Tangent Vector
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Curvature
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Practical calculus of the Curvature
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Curvature of a Straight Line
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Curvature of a Circle
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Normal Vector to a Curve Topic: Primitive and Integral
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Calculus of the Normal Vector
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Osculating Circle an Radius of Curvature
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Osculating Circle an Radius of Curvature
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Example of a Parabola
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Normal Vector and Curvature for Space Curves
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Homework
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