Questions
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AREA   - The integral of f(x) from x1 to x2 is the area between the x axis
         and the curve.  If we can't use calculus, what other methods can 
         compute or estimate this area?

CLOCK  - At 2:00, the minute hand (pointing at 12) is "behind" the hour hand
         (which points to 2).  At 3:00, the minute hand has passed the hour hand.
         When did the two hands meet?

CURVE  - How long does it take to make a plot of 5000 values of
         y = cos ( 100 * x ) - 4 * erf ( 30 * x - 10 )?

HAIL   - Start with a number N.  If it's even, divide it by 2.  If it's odd,
         multiply by 3 and add 1.  Repeat.  Eventually, you reach a value of 1.
         Count how many steps it took.  This is the hailstone number of N.
         Do we see a pattern if we compute and plot HAIL(N) for many values of N?

POWERS - Make a table of powers 2^n?  How far can we go before we see the
         effects of computer arithmetic?  What about a table of (2^n)-1?

TANK   - A spherical water tank has radius R.  If it is filled to a depth H,
         what is the volume V of water it contains?  If we can weigh the tank
         and determine the volume V, then what is the height of the water in
         the tank?