Mary’s mother brought a pizza
For her little kiddies, two.
“Johnny, you can have threequarters.
Mary, just a half will do.”.
Then the kiddies started eating.
Soon Mary grabbed her final piece.
“That’s mine” screamed Johnny, then the fighting
Broke the tranquil mealtime peace.
How much pizza then was eaten?
How much pizza on the floor?
Mother swore and left the building.
“I should have ordered just one more”.
a, the name for area
b, a letter much less used
c, a constant now called b
d, in calculus abused
e, for exponential growth
f and g, they’re functions both
and so we get to h
– – – – – – – – – – – – – –
h, the one that tends to 0
but it never quite gets there
i and j, are indices
k, with h a jolly pair
then a lot we will skip past
x and y are here at last
and we’re learning math so fast.
and in case you don’t get the tune, here it is backwards
em, yar, hod
Merry Christmas to all my followers
As h approaches zero
I quietly despair.
It really is the limit.
Please don’t take me there.
The funny thing about the calculus is that it was brought into existence by Isaac Newton in 1666 or earlier, and was developed and used without the idea of limits for over 150 years. The first attempt to get rid of the troublesome infinitesimals was by Cauchy in 1821, where he introduced the chord slope (f(x + h) – f(x))/h. The whole business of finding a satisfactory definition of the derivative was finally achieved by Weierstrass in the mid 19th century.
So here we go with cubics, and the same approach can be used for any whole number power of x, even negative ones. You should try it.
Next time sin(x) and cos(x), so no more sin(h)/h stuff.
It’s doggerel time again, this time with apologies to Harry Graham, who apparently didn’t write the original “Oh mama dear, what is that mess ……”. See allpoetry
“Oh Mommy dear, what are these sums you can’t do anymore?”
“Hush,hush my child, just do your best, It’s called the Common Core.”
Not so long ago I was doing substitute (supply) teaching in a school in Yorkshire,England, and this happened:
“I can’t do math” she said to me.
“Oh yes you can and you will see
that you can do it on your own”.
I showed her how the cryptic code
was just a way of writing.
“The meaning’s there, give it a go,
and try to stop the fighting”.
The tunnel end came into view,
the light was bright and shining.
She did another, all alone,
and smiled with satisfaction.
Then turned to me and said again
“I can’t do math”