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- Number Theory (interactive Java applets)
- Some number theoretic functions (greatest common divisor, the order of a number modulo n, the value of f(x) = mx + c mod n.)
- Graphs of f(x) = mx + c mod n.
- Graphs of f(x) = mx + c mod n, with subsequent points joint by lines (Recognize patterns!?)
- Prime factorization of numbers
- The Euler totient function φ(n)
- The Carmichael function λ(n)
- Concerning RSA cryptography
- Graphs of f(m) = me mod n.
- Graphs of f(m) = me mod n, with subsequent points joint by lines.
- Finding a public key (e, n) according to the RSA algorithm, given the secret key numbers (d, p, q).
- The Riemann zeta function ζ(s) and the Riemann hypothesis
- Analysis
- Astronomy and Physics
- The shadows of black holes, explained and interactively computed by an applet.
- Operations Research
- The knapsack problem, a classical algorithmic problem, solved by dynamic programming.
- The Posten container problem, an extension of the knapsack problem, with three bottle-neck constraints.
- Mathematical Politics
- The Banzhaf index of political power
- The theory
- An applet calculating the Banzhaf indices for arbitrary numbers of members.
- A more comfortable applet calculating the Banzhaf indices which enables data exchange with a standard spread sheet program via copy-and-paste.
- The Banzhaf index of political power
- Financial Mathematics
- Loan redemption schedule of an annuity loan