Archive for the ‘Mathematics’ Category

Arc length of a spiral around a paraboloid

paraboloid spiral
What is the length of a spiral around a paraboloid? This is an interesting application of integral calculus, involving an environmentally friendly cooker design.

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Google uses integration to speed up the Web

The page speed index score is based on calculus
Google tries hard to provide super-fast Web pages, and uses calculus in the process.

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Pulleys interactive applet: math background

Updated pulley math interactive applet
Here's some math background behind the recently updated pulley applet.

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Range hood curved sides problem

range hood
A manufactures of range hoods with curved sides wants to know what shape to cut the sheets.

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New z-Table interactive graph

z-curve interactive
Investigate the meaning of the z-table using this interactive graph.

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Updated Math of Beauty interactive

math of beauty
This interactive allows you to place a mask over the photos of so-called beautiful people, and see how close their face is to the ideal.

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When does log(x-3) = log x - log 3?

intersecting log curves
A recent comment from a Twitter colleague got me thinking about the value of graphical solutions of equations.

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Updated matrix interactive

Matrices interactive applet
Here's an applet where you can investigate how matrix operations work.

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Review: Dr. Geo

Dr Geo
Dr Geo is a free download that allows us to construct a wide variety of geometric objects.

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Review: writeLaTeX (now Overleaf)

writeLaTeX collaborative online math editor
Overleaf (writeLaTeX) is an online tool where you can create math documents collaboratively.

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