Mark

Here is the way i look at.

first quantitate thinking was plain algebra. How many goats I have, how
many ears of corn i need to feed the family.

Then as we progressed a bit, geometry came into play, so we could figure
out surface area and angles, build a few aqueducts and pyramids.

All that was good and fine until the idea of 'rate of change" had to be
pinned down in a written form. Let me explain it in layman's terms.

We have all played catch, tossed and caught a few balls here and there.

Then you ask a person to describe how to go about tossing and catching a
raw egg or a water balloon, well that's where calculus ( unknown to you )
comes in.

You can't throw the water balloon the way you throw a baseball, too much
acceleration and it will burst, and when catching it, you have to move
your hands, with the incoming projectile, to bring it to a gradual stop.
Then you can get fancier and say " what the shortest distance of travel
needed to stop that water balloon without bursting?"

Today's society is functioning at a much faster pace. things like 'growth
rate' and 'decline rate' have to be taken into account even when
attempting to do a simple algebra problem. 

If you are a manufacturer of a certain product in Kansas, you have to
keep your eyes open and notice that a new factory had just been built in
Delhi, or Taipei, and what that means to your employment figures.

Nothing moves on a linear line anymore, Euclidean geometry is passe. I
see an even newer kind of calculus, that does not just plot the rate of
change on a two dimensional line, but one that does third and forth
dimensions. Or one that can stay in a 2 dimensional state on a graphing
pad, but employs more variables in its calculus.

So if you are a manufacturer working in the states, and you are trying to
forecast your next year's sales, you need a new tool ( the new calculus)
that will let you predict your future growth, by incorporating MORE
variables into your equations.
So a book publisher needs to have the insight to see where he is headed,
now that the iPad is out. Record producers did not see where things were
going when the Mp3 was invented.

That multi dimensional rate of change can also be applied to the DQ
calculus. What is Good today, may not be good tomorrow. Technology is
good, putting people out of work is not. Where is the quality in that. (
I know I am oversimplifying things here)

There is an old anecdote about the US ambassador visiting an elementary
school in Beirut and asking a pupil how much 10+5 is, and the student
replies " well that depends whether you are buying or selling". The
calculus of place and time.

Khaled
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