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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