Archive for the ‘Mathematics’ Category

Infinite series background

binomial series interactive applet background
Infinite series have played an important role in the development of mathematics, especially calculus. Here's some background to some applets I wrote recently.

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The object with finite volume but infinite surface area

Gabriel's Horm
This object has a weird property - it has finite volume, but infinite surface area. How is this possible?

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Double springs interactive graph

revised double springs applet
The revised double spring applet now allows exploration on mobile devices. Here is some background.

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Frequency of notes on a piano - interactive learning object

piano and combined signal
Explore piano note frequencies in this interactive learning object, combining trig graphs and exponential growth.

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New applet: What does b do in a quadratic function?

Value of b in a quadratic function
y = ax2 + bx + c is a parabola. Changing the variables a and c are fairly simple, but what does b actually change, and by how much?

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New applet: Domain and range investigation

domain and range applet
This interactive applet allows you to explore the concepts of domain and range for several different mathematical functions.

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What’s the correct graph of sec(arccos(x))?

What is the graph of y = sec(arccos(x))?
Here we solve another graph mystery - what is the correct domain for y = sec(arccos(x))? And why do different software packages show similar, but different graphs?

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SquareCirclez is a “Top 100” math blog!

SquareCirclez in Top 100 Math Blogs collection
I was humbled this week to receive notice that SquareCirclez (the IntMath Blog) has been included in a list of the "Top 100 Math Blogs".

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The real story behind the Tesla Map to Multiplication chart

Tesla multiplication applet
The fascinating Map to Multiplication may not be all it seems, notwithstanding its cleverness.

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Intersection of 3 planes at a point: 3D interactive graph

solution of a system of 3x3 equations is intersection of 3 planes
This 3D planes applet allows you to explore the concept of geometrically solving 3 equations in 3 unknowns.

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Full archive

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