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Marden's Theorem concerns the relative positions of the roots of a cubic polynomial and those of its derivative. This article gives a proof of Marden's theorem, along with dynamic geometry animations and some of the history of the result.
A mathlet that illustrates the relationship between the graphs of the natural sine and cosine curves and the vertical and horizontal coordinates of points on the unit circle.
Chemical Graph theory is used to model physical properties of molecules called alkanes. Java applets allow for interactive exploration of molecules. A student project and discussion of its application are included, along with spreadsheets of model data.