Lecture 19 Parametric Curves

Calculus II

Topic 3: Vector Functions

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Curves and trajectories:

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Space Curves

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The Circular Helix

Some Circular Helices

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Differential Calculus on Curves (1): Topic: The Limit

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Differential Calculus on Curves (2): Topic: Continuity

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Differential Calculus on Curves (3): Topic: Derivative

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Differential Calculus on Curves (4): Topic: Tangent Vector to a curve

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Differential Calculus on Curves (5): Topic: Differentiability

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The main application: Kinematics

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The Hang Glider Flight

Derivative rules

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Main Remark

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Main Remark

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Integral Calculus on Curves (1): Topic: Primitive and Integral

Primitive and Integral Examples

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Projectile Motion: Modeling

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Projectile Motion: Example

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Projectile Motion: Main Parameters

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Barcelona 1992 Olympic Games

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Orbit Transfer Problems

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Homework

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