Topic 5c -- Polynomial fitting & interpolation

This lecture builds on curve fitting to explain how polynomials are fit to a set of samples. Polynomial curve fitting is then used to perform interpolation and extrapolation of measured data.

[@a_23_abhigyahazra]

Thank you for the simple explanation.

[@mohamedtrabelsi8964]

Thanks a lot for sharing these courses, Just one comment, at 2:30 we have Vandermonde matrix. the matrix is highly ill-conditioned for large N. We may use a Lagrange base instead with careful choice of x to avoid the Runge phenomena.

[@empossible1577]

You are absolutely right! In this course we deal only with very small matrices and I design the homework so students will not run into problems. I consider Lagrange interpolation and associated topics outside the scope of this course which is very applied, but you have motivated me to add a note in the lecture about this for interested students.
Thank you! Keep the comments and suggestions coming!