History of Mathematics

You should have no problems with questions like these:

You should know the main actors behind the theory of exhaustion (Eudoxus, Euclid, Archimedes), their contributions, and be familiar with the results and proofs we we discussed in class and in the homework. How did Archimedes formulate his results, given that he had no formulas?
What are the contributions to Euclid's elements that are credited to the Pythagorean school?
What are the Platonic solids? (you can turn the solids by clicking on them; don't worry about anything we didn't talk about) What did Euclid know about them?
Describe at least one of Zeno's paradoxa. Explain the difference between actual and potential infinity.
What are the classical unsolved problems of Greek mathematics, and how and when were they solved? How are irrational, algebraic, transcendental numbers defined? What are examples for such numbers?
Explain the difference between 0 as a symbol and 0 as a number.
Explain the difference between the geometric multiplication of numbers (line segments) in Euclid and Descartes. Construction of sums, products, square roots in Descartes.
Why were imaginary (complex) numbers `invented'?
Read the article on the dispute between Tartaglia and Cardano; again you should know the main actors (del Fierro, T., C., Ferrari, Bombelli) and their contributions.
Chronological order of del Ferro, Tartaglia, Cardano Ferrari, Bombelli, Fermat, Descartes, Gauss.