JavaScripts

Mary

• Order type eta.
• Enumerating the rational numbers.
• Ternary expansions of (p/q)^(i/j).
• Decimal expansions of fractions. Also fractions in Cantor set.
• bisect2
• powers
• checkers
• shell
• monoid

Cyptography and Number Theory

1. Shift ciphers
2. Relative frequencies of letters in English
3. Viginère ciphers
4. Breaking Viginère ciphers with monographic frequency counts
5. The sieve of Eratosthenes in action
6. Generating primes by sieving
7. The Jacobi symbol
8. Bezout's equation
9. Primality testing with Fermat's little theorem
10. Multiple precision arithmetic
11. Multiple precision arithmetic using strings
12. Multiple precision arithmetic using Java
13. "Stupidest known algorithm" for factoring

Calculus

1. Graphs of derivatives   Java applet. You pull a graph around, it draws the derivative.
2. Draw the derivative   Java applet. You try to draw the derivative of a given graph.

Interest

1. Interest
2. Present value

Modern algebra and other things

1. Elliptic curves
2. Division algorithm in Z[√2]
3. Counting Gaussian integers in a disk
4. Bezout's equation for Z
5. Bezout's equation for Gaussian integers
6. Bezout's equation for Gaussian integers and Z[√2]
7. Pascal's triangle modulo n
8. Pascal's triangle
9. Equivalence of antilogisms
10. Continued fractions
11. Manipulating poynomials in two variables
12. Umbral calculus modulo p
13. Sums of cubes x³ + y³ + z³ = w³
14. Fibonacci sequences with Java
15. Pell's equation from Ray Mines
16. The Saint Petersburg Paradox for class on mathematical ideas.

Liberal arts mathematics