Sep 1, 2019

Publicly available lecture notes from universities mathematics classes

Euler Disc and its mathematics

As described in wikipedia:



Here are the videos where the Euler discs phenomenon is highlighted and explained:




https://www.youtube.com/watch?v=55gJgCoDld4  (interesting study of the Euler Disc motion from an engineering point of view).

https://www.real-world-physics-problems.com/eulers-disk.html   (here the mathematics is worked out in details - and quite easy to understand with undergraduate Physics as background)

https://www.techly.com.au/2015/09/28/eulers-disk-amazing-plastic-disk-will-melt-brain-hear/










Aug 12, 2019

Exploring about Mandelbrot Set

https://www.youtube.com/watch?v=FFftmWSzgmk

And trying out the GeoGebra software:

https://www.geogebra.org/m/BUVhcRSv  (these files are from Ben)

To see the sequence of square operation and its path:








Jul 10, 2019

Update: Mathematics Olympiad Problems

Updating this page:


(some links are invalid) and here below is just a very small subsets: