The enclosed files dy-syst.exe and dy-syst.hlp were written by Professor Dan Waggoner, Department of Mathematics, Agnes Scott College to help explore Newton's method for roots of polynomials in the complex plane, the Mandelbrot set, and Julia sets. In particular, you can use this program to study the parameter space associated with Newton's method for cubics, in which two roots are fixed at -1 and 1, and each pixel w represents the third root. Newton's method for the resulting polynomial p(z) = (z-w)(z-1)(z+1) is started at the center of the triangle formed by the three roots and the pixel w is colored according to which root that orbit converges to, or is colored black if convergence cannot be determined after a specified iteration count. This is the analogy with the Mandelbrot set, and indeed, baby Mandelbrot sets can be found throughout this parameter space picture for Newton's method. Another module allows you to specify the location of roots for polynomials of degree 3 through 15 and then color each pixel according to which root that pixel's orbit converges to. This is the analogy with Julia sets. The program requires at least a 386 machine with a math coprocessor and Windows. The program consists of several independent modules that draw the images associated with various dynamical systems. Within each module several images can be viewed simultaneously. There can be one full screen image and several smaller images, each in its own window. These can be views of dynamical systems with different parameters, or views of different regions of the complex plane, or views with different color palettes. I am posting this program on Dan's behalf. If you have a chance to work with it, I would greatly appreciate you sending me a note at riddle@mathcs.emory.edu describing (1) your opinions of the program; (2) whether you think it might be helpful in your own work on dynamical systems, chaos, or fractals; (3) whether you think it might be helpful in your teaching of any of these areas. Thank you. Larry Riddle Math Dept Agnes Scott College email: riddle@mathcs.emory.edu