Addressing various topics of a quite general nature:
Fourier Analysis is a mature (200 year old) subject of
mathematics which is still going strong > a suitable subject
for a discussion of the development of mathematical ideas;
Modern digital technologies depend heavily on the principles
developed in connection with Fourier Analysis;
Not always is the theory developed by mathematicians ready
for applications, nor do applied scientists go deep enough in
the mathematical analysis of their problems;
Mathematics is not just the abstract and complicated subject
as it is usually seen, and not just a collection of formulas.