She has a youtube channel

I've only watched a couple of her videos--on Splines and Bezier curves--and her explanations and animations were intuitive and beautiful to watch, but ultimately her target audience is game devs... So the answer to your question is "technically yes*"

*it's with the intent of learning to code the math

I don't know anything about the original post author, but product notation is the same as summation notation except that instead of adding each new term to the running total, you're multiplying each new term. You don't have to know programming to see from the code samples that the only difference in the code is += vs *= (well, maybe it would help to know that * means multiply; I honestly dont rember how common-knowledge that is).

Sort of; a lot of what she does is computer graphics, which just happens to be applications of math she explains. There is still code, but sometimes the "code" is a flow graph in Unreal Engine or Blender.

I think it would be much better to write it in another language, but here's another way to do the second one (this is on Visual Basic):

Dim n as long
Dim product as long
Product = 1

For n = 1 to 4
Product = product * 2 * n
Next n