Abstract:  
In many applications we would like to approximate a complicated process using less complicated objects. Continuous functions are very useful but can be fairly complicated; polynomials are well-understood and have a lot of structure. Therefore, we might want to try estimating a ‘random’ continuous function using a polynomial, and measure how close this approximation gets. In this talk, I will show that you can approximate any continuous function on the interval $[0,1]$ nicely by polynomials.