I always do the following graphic, borrowed from something Stan Wagon
and David Bressoud do in their number theory book (but with Mma):
@interact
def power_table_plot(p=(7,prime_range(50))):
P=matrix_plot(matrix(p-1,[mod(a,p)^b for a in range(1,p) for b in
srange(p)]),cmap='jet')
show(P)
How many number theory theorems can you see? (Ideally the labels
would be slightly different, but it's fun. E.g., the last column
should be all blue - Fermat's Little Theorem.)
If I were you, I'd also crib an interact showing different Riemann
sums for integration or something like that. Everybody has to teach
calculus.
- kcrisman
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