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.
Mean Value :
c03e.zip
(You can see the result in Gnuplot).
* Find a number c in (r,s) that satisfies the mean value theorem.
Chapter 04 : The Integrals :
Trapezoidal, Simpson's rule :
c04g.zip
Chapter 05 : Appplications of the definite integral :
Area :
c05a.zip
(You can see the result in Gnuplot).
Solids of revolution. "Disk" :
c05b.zip
(You can see the result in Gnuplot).
Solids of revolution. "Cylindrical Shells" :
c05c.zip
(You can see the result in Gnuplot).