Lectures

Some additional notes and references from lectures, and some videos.

See Sample codes for information on obtaining the notebooks below from GitHub.

30 September 2015

I briefly reviewed basic theory of polynomial interpolation, in particular standard bases such as the monomials (and the resulting Vandermonde matrix), the Newton form, and the Lagrange form. Most elementary numerical analysis texts have a discussion of these. See also wikipedia.

I also reviewed Fourier series for periodic functions and the discrete Fourier transform. See the first few chapters of SMM and:

5 October 2015

Class does not meet, instead please view these video lectures:

Note: See Sample codes for instructions to obtain these and future notebooks from GitHub.

12 October 2015

We worked through the notebook Fourier_Smoothing.ipynb

14 October 2015

Notebooks:

19 October 2015

26 October 2015

Class does not meet, instead please view these video lectures:

12 November 2015