Archive for the ‘Mathematics’ Category

Trig ratios: updated interactive

Investigate trigonometric ratios
Here's an interactive graph where you can investigate some important trigonometric identities.

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Math of air pollution

Haze covers SingaporeHow do we compare pollution caused by different substances and give meaningful health advisories? Singapore's current haze season gives an example.

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MathGraph32

MathGraph32
MathGraph32 is a great free tool for exploring 2D and 3D math concepts.

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Jacob’s Staff

Jacob's Staff
Scientists used Jacob's Staff during the Renaissance to find heights and distances, using trigonometry. It was a forerunner to the sextant.

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Interactive Bezier Curve Graphs

interactive vector art graphs
Here's an interactive graph where you can explore straight lines, parabolas, cubics and Bezier curves.

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An engineer’s view of Santa Claus

Santa's Christmas Eve physics
Is Santa's frantic dash around the world each Christmas Eve, even possible?

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Fourier Series interactive graph

Fourier Series graph interactive
Here's an interactive graph that allows you to explore the concepts behind the Fourier Series.

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Roller Door problem

roller door
Here's a real-life application of calculus posed by a roller door engineer.

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Volume of a pendant

volume of pendant
A reader asked how to find the volume of a pendant-shaped container. We need volume of solid of revolution.

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How do noise canceling headphones work?

noise canceling
How can we enjoy music while traveling on noisy public transport? What is the math behind noise canceling headphones?

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Full archive

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