Recent content by Orange-Juice

Homework Statement Prove that \sum\limits_{k=0}^l{n \choose k}{m \choose l-k} = {n+m \choose k}Homework Equations Binomial theorem The Attempt at a Solution [/B] We know that (1+x)^n(1+x)^m = (1+x)^{n+m} which, by the binomial theorem, is equivalent to: {\sum\limits_{k=0}^n{n \choose...

How suitable do you think it is for a first semester student ? Or I guess a better measure of difficuly is how difficult you found it compared to physics with calc 1&2? I hope so too, thanks! :)

The school I plan on attending (Uni. Of Florida) has it coming after the basic underdivision physics with calc courses but before mechanics, e&m etc. Theres no prereqs on the UF website but I found a syllabus from a few years back...

I've always loved physics but have had this (hopefully) false notion that you need to be some sort of analytical genius to get anywhere doing actual physics research so I always told myself I would just follow engineering. This past year (Junior year of high school) a degree in physics started...

Ah okay that definition clears things up. The primary (at least in elementary math) use of the trig function is to find ratios of the sides of triangles though right? So is this definition of the trig functions just used since it makes the functions continuous and differentiable at all points...

No I did mean pi/2 you're right, forgot the unit circle was 2pi.

Whoops yeah I mean pi/2

Wouldn't the sine function be undefined at pi/2 since at that point there would be no triangle in the unit circle, only a straight line along the y-axis? The hypotenuse of a right triangle must always be the longest side of the triangle so I don't see how the sine function can ever give you a...