10 graphs of experimental data are given. Can you use a spreadsheet to find algebraic graphs which match them closely, and thus discover the formulae most likely to govern the underlying processes?
The equation a^x + b^x = 1 can be solved algebraically in special cases but in general it can only be solved by numerical methods.
In this short problem, try to find the location of the roots of some unusual functions by finding where they change sign.
How did Archimedes calculate the lengths of the sides of the polygons which needed him to be able to calculate square roots?
Looking at small values of functions. Motivating the existence of the Maclaurin expansion.
See how the motion of the simple pendulum is not-so-simple after all.
