Talk:Interpolation and Extrapolation

''This page is just a skelleton. I will add content as time permits. The main purpose of putting this up is to define what goes where in the track Numerical Algorithms.''

Goals
After finishing this course, students should:
 * Know that discrete data can be approximated/interpolated by a polynomial.
 * Know different representations of the interpolating polynomial as well as how to compute them.
 * Know that functions can also be represented with different bases
 * Know what piecewise interpolation and splines are and know how to compute them.
 * Know how to efficiently extrapolate a point in the different representations.

Take-Home Message

 * Discrete data can be interpolated with a number of methods.
 * Different representations of the interpolated function fit different needs.