Miscellany

Sequences and Series

• Simple Recursive Sequences (webMathematica):  input a parameter value and see the graph of an arithmetic, a geometric, or a logistic sequence
• Fibonacci and Related Sequences (webMathematica): input parameter values and see the graph of a generalized Fibonacci sequence

Calculus and Differential Equations

• Slope Fields (webMathematica):  input the functional form of a derivative and see the slope field

Fractals

• Mandelbrot Scenes and Animations (GIF animation):  view zooms at three points in the Mandelbrot set

Linear Algebra

• 2D Matrix Transformations (webMathematica):  input a matrix and see it iteratively transform a simple geometric object
• 2D Homogeneous Transformations (webMathematica):  input a matrix and see it iteratively transform a simple geometric object

Social Choice

• Voting and Power Indices (webMathematica):  input the quota and a set of player weights to see the Banzhaf and Shapley-Shubik power indices
• Apportionment Methods (webMathematica):  input the legislature size and a set of state populations to see the apportionments of Hamilton, Jefferson, Adams, Webster, and Huntington-Hill.

Statistics

• Comparing the z and t Distributions (webMathematica):  input a confidence interval and degrees of freedom and see an animated comparison of the two distributions