Calculus
Textbooks
Boundless Calculus
Advanced Topics in Single-Variable Calculus and an Introduction to Multivariable Calculus
Calculus Textbooks Boundless Calculus Advanced Topics in Single-Variable Calculus and an Introduction to Multivariable Calculus
Calculus Textbooks Boundless Calculus
Calculus Textbooks
Calculus

Section 2

Vector Functions

Book Version 1
By Boundless
Boundless Calculus
Calculus
by Boundless
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6 concepts
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Vector-Valued Functions

A vector function covers a set of multidimensional vectors at the intersection of the domains of $f$, $g$, and $h$.

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Arc Length and Speed

Arc length and speed are, respectively, a function of position and its derivative with respect to time.

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Calculus of Vector-Valued Functions

A vector function is a function that can behave as a group of individual vectors and can perform differential and integral operations.

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Arc Length and Curvature

The curvature of an object is the degree to which it deviates from being flat and can be found using arc length.

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Planetary Motion According to Kepler and Newton

Kepler explained that the planets move in an ellipse around the Sun, which is at one of the two foci of the ellipse.

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Tangent Vectors and Normal Vectors

A vector is normal to another vector if the intersection of the two form a 90-degree angle at the tangent point.

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