Consider the following integral: INTEGRAL (1/x) dx Perform integration by parts: let u = 1/x , dv = dx du = -1/x2 dx...
Continue reading...other
How GPS Works
The intersection of two spheres is generally a circle (but might also be a point or the empty set). That...
Continue reading...Magic 1089
Here’s a cool mathematical magic trick. Write down a three-digit number whose digits are decreasing. Then reverse the digits to...
Continue reading...Math Limerick
Question: Why is this a mathematical limerick? ( (12 + 144 + 20 + 3 Sqrt[4]) / 7 ) +...
Continue reading...Are Coins Fair?
When you flip a coin, what are the chances that it comes up heads? If the coin is “fair” then we...
Continue reading...Powers of Ten in Base Two and Five
Make two lists; one consists of all powers of 10 in base 2, and the other all powers of 10...
Continue reading...Making Magic Squares
A magic square is an NxN matrix in which every row, column, and diagonal add up to the same number....
Continue reading...Euler Characteristic
Take out a sheet of paper. Pop quiz! (just kidding). Draw any number of dots on your page. Now connect...
Continue reading...Calculus Limerick
Here’s a calculus limerick: Integral z-squared dz from 1 to the cube root of 3 times the cosine of three pi over 9 equals...
Continue reading...Why an International Date Line?
Can you find a continuous one-to-one function from the circle to the real line? Put it another way: is it possible, for...
Continue reading...