Lectures 17 and 18 Polar, Cylindrical and Spherical Coordinates Calculus II Topic 3: Vector Functions

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Polar coordinates: The pirates point of view

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Polar coordinates: the relations

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Some properties (1)

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Some properties (2)

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The polar equation for a circle

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Simple Examples

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More examples

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Another circle

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A circular sector

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A semicircle

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The slope of a polar curve

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Drawing a Cardioid

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Another Cardioid

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Drawing a Lemniscate

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The Bernouilli Lemniscate

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Another Method

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The Limacon

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The polar equation of a Straight Line

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The polar equation for a general circle

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Two circles

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Two more circles

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Several polar circles

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Cylindrical Coordinates: the point of view of a plumber

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The cylinder equation

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Constant Coordinates

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A Cylinder and a Paraboloid

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Spherical Coordinates: the Earth point of view

Spherical Coordinates

Earth Coordinates

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Spherical Coordinates

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Constant coordinates

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A Sphere

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A cone

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An ice cream

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Summary:

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Homework

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3.1_3.2_Polares_Cilindricas_Esfericas

Calculus II Topic 3: Vector Functions Calculus II Santiago de Vicente 1 Polar coordinates: The pirates point of view Calculus II Santiago de...

3.1_3.2_Polares_Cilindricas_Esfericas

Calculus II Topic 3: Vector Functions Calculus II Santiago de Vicente 1 Polar coordinates: The pirates point of view Calculus II Santiago de...