Mathematical Miscellany

Arithmetic

• Basic Addition Facts Drillmaster (JavaScript): drill and practice on basic addition facts
• Basic Subtraction Facts Drillmaster (JavaScript): drill and practice on basic subtraction facts
• Basic Multiplication Facts Drillmaster (JavaScript): drill and practice on basic multiplication facts
• Basic Division Facts Drillmaster (JavaScript): drill and practice on basic division facts

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

Combinatorics

• Basic Counting
• Playing Card Frequencies

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

• Power on the Nassau County Board of Supervisors
• Power on the United Nations Security Council
• 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

Other

• Some Mathematical Links