Mathc: Algebra Linear, Gnuplot.

Chapter 03 : The Derivative :

The tangent : c03a.zip (You can see the result in Gnuplot).

* Draw the tangent.
* Animate the tangent.
* Find the intersection points of the tangent with the x-y axis.
* Find the length of the tangent from P to the x axis.
* Find the length of the tangent from P to the y axis.
* Find the length of the under tangent.

The normal : c03b.zip (You can see the result in Gnuplot).

* Draw the normal.
* Animate the normal.
* Find the intersection points of the normal with the x-y axis.
* Find the length of the normal from P to the x axis.
* Find the length of the normal from P to the y axis.
* Find the length of the under normal.

Newton's method : c03c.zip (You can see the result in Gnuplot).

* Compute sqrt(a).
* Compute and draw the real roots of f.
* Compute and draw the intersection points of g and h.