MAT432: Sequences and series of functions.
2019-2020 - L2 Math-Info International
"But what is a Fourier series? From heat flow to circle drawings" by YouTube user 3Blue1Brown
"But what is the Fourier Transform? A visual introduction" by YouTube user 3Blue1Brown
"Epicycles, complex Fourier series and Homer Simpson's orbit" by YouTube user Mathologer
Some (optional) further reading:
The books below are well-written and recommended, but as supplementary material if you have the time, or want to learn more; hence, they are not necessary for the course. Conversely, they are not substitutes for attending classes.
Rudin, Walter -
Be careful, there are other books by the same author with similar names, which are intended for completely different courses!
Amann, Herbert; Escher, Joachim -
Bressoud, David -
This one takes a different direction, more historical, with many small exercises. It is a great tool to build intuition for Fourier series!