Recent content by WheatNeat

Here we are deriving snell's law. The text compares the length of the two paths (which are assumed to be close enough such that the time difference is negligible), and uses the perpendicular to compare them. They should technically be making an isoceles triangle to compare them right? Is this an...

I just started learning about waves from an introductory calculus-based textbook (HRK) and there was a part describing what happens when a wave on a string transmits into another string (with different mass density). It said that if the wave is going into a string with a larger mass density, the...

It might also be worth going through aops volume 2, but you don't have to. What you do after the aops books depends mostly on how much of the theory in the intro/intermediate series you mastered and your level of problem solving. If you can solve late AIME problems (10-12+) it'll be good to...

I am training for the IPhO on my own.

What level of math is needed for IPhO? I know that basic knowledge of calculus (basic differentiation and integration) and vectors (addition, dot product, cross product, etc) is definitely required, even just to derive basic results. However I've heard that you need other stuff as well such as...