Calculus
Textbooks
Boundless Calculus
Differential Equations, Parametric Equations, and Sequences and Series
Calculus Textbooks Boundless Calculus Differential Equations, Parametric Equations, and Sequences and Series
Calculus Textbooks Boundless Calculus
Calculus Textbooks
Calculus

Section 2

Parametric Equations and Polar Coordinates

Book Version 1
By Boundless
Boundless Calculus
Calculus
by Boundless
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7 concepts
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Parametric Equations

Parametric equations are a set of equations in which the coordinates (e.g., $x$ and $y$) are expressed in terms of a single third parameter.

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Calculus with Parametric Curves

Calculus can be applied to parametric equations as well.

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Polar Coordinates

Polar coordinates define the location of an object in a plane by using a distance and an angle from a reference point and axis.

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Area and Arc Length in Polar Coordinates

Area and arc length are calculated in polar coordinates by means of integration.

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Conic Sections

Conic sections are defined by intersections of cones with planes.

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Arc Length and Speed

Arc length and speed in parametric equations can be calculated using integration and the Pythagorean theorem.

Conic Sections in Polar Coordinates

Conic sections are sections of cones and can be represented by polar coordinates.

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