 
NewtonRaphson Iterations
.

This apLet illustrates the NewtonRaphson iterative process. The user
sets up their equation, allowing room for the tangents to be drawn, and
then the "...& iterate" option allows them to choose a
starting x0 value and watch
the iterations progress (the user presses a key between iterations). 

The successive approximations to the desired root are reported at the
top of the screen as X (the previous value), M (the slope at X) and Y (the
next value in the iteration). 

While I realize that using X and Y (particularly Y) is not ideal, the
HP38G is not capable of displaying subscripts and thus can't use x0, x1, x2 etc. 
Row Operations
.
This apLet is designed to allow students to explore the use of
elementary row operations in solving an augmented 3 x 3 matrix. Please
note that this is NOT an apLet that you would use to actually solve
systems of equations! The functions RREF and simple matrix arithmetic are
all that's normally needed (see my manual for various methods), but these
methods don't show the elementary row operations which perform the
process. 

The apLet has some problems with the display of its results. If the
numbers created during the solve process grow too large then they will
spill off the right hand side of the screen. However, with adroit choice
of initial equations by the teacher, it is a useful tool. 



