Yeah, I get the impression this is article is more to show off how smart the writer is, rather than about effective instruction. If you can actually read the article, you have no need for the content because you've probably encountered gradient descent already in your maths training (or could figure it out).

Also, there's no concrete examples of this algorithm in place for students to go through and built intuition and a working understanding. Even the most dense math text books I've read have problems for the reader to work through.