In Resi 4, I just wished they'd appealed to me by making Ashley a mute. Dear lord she was annoying.

I'm not sure how I feel about RE5, I know I'll end up buying it, I know that gameplay wise it'll be a real blast, but deep down there's a part of me that wishes things could go back to the old settings (although no more bloody mansions, there's been too many of them already) and enemies. It seems that the only thing that connects the new games to the old is the recurring characters, rather than stylistic similarities. It's a shame, because the new gameplay style could easily lend itself to more survival horror based gaming, if they cut back the ammo and storage space and brought back some of the puzzles.

The main thing that Resi 3 has going for it over the other 'original' style Resi's (1/Director's Cut, 2, CV, Outbreaks, Remake, 0) is the controls. In 3, they pretty much perfected the controls, stuff like the 180 turn appeared for the first time and the panic/escape moves were a very cool addition. Certainly, when they went from 3 to CV, I felt it was a step back in terms of control, as the characters seemed so much slower, and i didn't seem like the player had the same freedom of movement anymore, because the pace of the motions had all disapeared. 3 has storyline branching as well, through the live selection stuff, so there was more replayability. To be honest, I never really liked RE3 when I first played it all those years ago, but i does grow on you a lot over time.

Living in the UK, faggot is a word that doesn't really tend to surface in conversation that often. To me, a faggot will always be an inferior meat product ( http://www.tesco.com/superstore/xpi/5/xpi50150805.htm ). Did anybody ever enjoy eating these things? I swear, I've seen dog meat that looks like it contains more real meat. Also, fun fact: Fray Bentos steak and kidney pies smell exactly the same as Pedigree Chum meatloaf variety (or whatever its called, the one that doesn't have the jelly in it).

Back on topic, using 'gay' to describe things in a derogatory manner isn't cool, but it mainly seems like a childish thing to do, as you get older less people do it, just seems like a nasty habit (most) people grow out of.

Double integrals are pretty simple, you just treat them like 2 integrals. Do the the interior one first, treating the other variable as if it's a constant, the do the outer integral.

e.g.

int(from x=0 to x=1) int(from y=0 to y=1)  y(x^2) dy dx

would work out like

int(from x = 0 to x = 1)    (0.5*y^2 x^2)  dx
 
int(from x = 0 to x = 1)    (0.5*1* x^2) - ( 0.5*0*x^2)  dx

int(from x = 0 to x = 1)  0.5*x^2 dx

 = (0.5/3)

(sorry for the crappy description, it's not easy writing maths on a comp (without Latex).

For fourier transforms, I'd make sure to know the matrix forms of the discrete fourier transform (DFT) and the inverse DFT. For these, computing the transforms of a vector (signal) is a simple matrix multiplication. Dunno if you'll need to know about the Fast Fourier Transform or not, depends on your syllabus I guess. Wikipedia all the way for a quick reference on things.

PDEs are a wide subject, which I was taught very poorly, so I'm not much help there. (What's your syllabus like/ Do you have to know about fiite difference methods, finite element methods, etc)

Can't help you with stats, I avoid them like the plague, not my field of expertise lol.

Wikipedia is always good for maths stuff:
http://en.wikipedia.org/wiki/Taylor_series

What you want is the first bit of the definition. In your case, for the Taylor series at x=0, you've got a = 0.  Also, your f(x) = x^2/(1 - x). So f(0) = 0/1 = 0. You need to evaluate the derivatives of x^2/(1 - x) at the point x = 0.

You'll end up with:

f(0) + f'(0) x + (1/2!) f''(0) x + (1/3!) f'''(0) x^2 + ... and so on.

! means factorial btw.