Grapher Applets in 2D

A collection of applets for graphing curves in 2D

The standard way to graph curves in 2D is to graph y as a function of x. The Cartesian Grapher applet asks for an xWindow and yWindow to give a viewing window. The user may define two functions f(x) and g(x) to graph. The default function for g(x) is the difference quotient for f(x), approximating its derivative.  The applet also plots points corresponding to x0.  A readout box gives the value of f(x0) and g(x0).

The second way to graph in 2D is with parametric curves.  The Parametric Grapher applet asks for an xWindow and a yWindow to give the viewing window, as well as a range of the parameter t.  The user is asked to define two parametric curves, p(t) and q(t).  The default parameterized curve for q(t) is a segment of the line tangent to p(t) when t=t0.  The applet plots the curves as well as points corresponding to p(t0) and q(t0).  A readout box gives the values of p(t0) and q(t0).

The third way to graph is in polar coordinates. The applet assumes that r with be a function of th (short for theta), where th runs for 0 to 2*Pi.  Since the graph is assumed to be symmetric with respect to the origin, the user is simply asked for a maximum value of r.  The grapher plots 3 circles with the largest being at rMax.  It also plots the x and y axes.  The grapher plots the curves r=f1(th) and r=f2(th).  A readout shows the values of f1(th0) and f2(th0).

These applets were designed as by modifying an applet from a demo by Tom Banchoff at Brown University.  It is used with permission.   Go to the Banchoff Applet Help page.