Welcome to Gaia! ::

Straight into relativity. After the concept of spacetime itself, I plan to introduce the Minkowski metric and derive the Lorentz transformation directly from it. It's not as hard as it might sound--it is a hyperbolic rotation, the reasons for it being so being quite natural. That is why I included rotations and hyperbolic trigonometric functions in the math review. I will generalize to more than 1+1-dimension, but not for a while yet.

I really ought to get back to writing that. Right now, problems involving series are distracting me--but you ought to find that series-extraction method I've posted in the math guild interesting. It can be easily framed in terms of linear algebra.

I saw your intro to special relativity !~!

I'm rather excited about it, as I read all sorts of articles all the time, and I maintain a very minimal understanding of all of it (reading string theory, about black holes, etc.)...
As I've only taken up to Pre-Calc. I stopped and decided no against AP Calc.

Senior year.
Stress from previous year.

Woulda failed. ;D


BUT I WOULD LOVE TO SEE THIS FINISHED!


Edit:
My course of math in the years went as this: 6th grade, pre-alg 7th; Geo, 8; Alg 9;Alg 2 (Or Adv. Alg) 10; FST (Functions Statistics Trignometry) 11: Pre-Calc.

What you have so far looks promising. It's hard for me to think back to high school level, but I don't anticipate there being too large of gaps of understanding, as you seemed to cover fairly thoroughly in basic terms.

My only suggestion might be to include a phrasing of the principle of relativity (We require the laws of physics to hold the same for observers in inertial reference frames) as well as perhaps a brief foray into some of Maxwell's equations, as a way to motivate why special relativity was developed. It's fully possibly, however, that you already have plans for that.