Archive for the ‘Mathematics’ Category

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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Conic sections interactive applet

Conic sections interactive applet
This interactive applet allows you to explore the concept of slicing a cone by a plane at various angles and positions, resulting in conic sections.

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New 3D interactive graph

3D interactive graph applet - background
I recently added a 3D interactive graph which you can use to explore the x-, y- and z-axis system.

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Roller Door Problem and Polymath Software

polymath roller door problem
Here's a numerical solution to an earlier problem we discussed involving a roller door.

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How to find the equation of a quintic polynomial from its graph

Given a quintic curve, how to find the function?
A quintic curve is a polynomial of degree 5. Given such a curve, how do you work backwards to find the original function expression?

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Squaring the circle - a reader’s approach

Squaring the circle
Here's a reader's approach to the age old problem of finding a square with the same area as a given circle, called "squaring the circle"

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