Thanks for the encouragement Quendi! That means alot to me. I am fairly well versed at least in the gateway mathematics, algebra, geometry and trigonometry. That's largely in part to having spent the past six or seven months brushing up on it with the help of Khan Academy (http://www.khanacademy.org/) which is an amazingly good tutor for the self motivated. It has thousands of video lessons on a variety of topics, but math is covered most thoroughly going from basic arithmetic to differential and linear equations, with tests and excercises going along the whole way, as well as a personal profile to track your progress and accomplishments. It's an amazing educational tool that I have found immensely useful in getting myself up to snuff so I can start working on my science degree.
I really love math and find it entertaining and cathartic. My wife reads whatever best seller book in bed while I have "Geometry and Trigonometry for Calculus" and a calculator before bed time. I can't decide between biochemistry and Electrical engineering, but a big draw of engineering is how much math I would get to study which sounds like great fun and a challenge. Plus the electrical engineering major automatically nets you a minor in mathematics just because of all the math coursework you have to do.
But believe me, I don't take it lightly. I know how hard higher maths are, and how much study and discipline will be required just to pass alot of those later classes. Which is why even now in the last month or so leading up to starting college I'm trying to make sure my fundementals in algebra, geometry and trigonometry are as solid as they can be. On the Khan Academy website every video has a question and comments section underneath and sometimes just for fun I like to look ahead at some of the harder calculus just to see where I am heading. But consistently you find comments from college juniors and seniors saying they are struggling with it because they just sort of breezed through the lower maths, didn't pay too much attention but still got the passing grades, and then they just hit a wall when coming up against differential equations or the like. I'm trying to make sure that doesn't happen to me.
If there are any good books on math you want to recomend I'm always interested. "Practical Algebra a self Teaching Guide" and "Geometry and Trigonomety for Calculus" both by Peter Selby have been indispensible for me. I love a good math book.
Which this kind of makes me think about the awake, it never touched on math even a little bit. Math doesn't have to be just a dry series of equations, I'm reading "A History of Pi" right now that is a fascinating look at how math has developed over the ages. But they never seem to pay any kind of attention to this most basic building block of reason and education. It's hard to say that reading the awake is like getting a college education when it completely neglects a fundemental pillar in education. You would think the rank and file would eat it up too. They wouldn't understand it most likely, but they read all about a Hippocrates Lune understanding none of the math behind it and think that they are totally smart and educated for knowing the word "Hippocrates Lune".