I don't think their is a magic way to get all this in your head that fast. Should have just studied up for it. But only suggestion I can come up with is just study your ass off, take the shit one at a time, make sure you KNOW one thing, then move on.

Math tutors are terrible for cramming. Math tutors are for dumb people that cant understand their math textbooks. its much faster to read through the textbook.

On the other hand, Winnie Cooper was a math tutor at University. She even has a mathematical theorem named after her.

Also I'm pretty sure the only things I understand in your original post is advanced probability. The rest is crazy moonspeak. I guess what I'm trying to say is you might aughta pop some adderall and get crackin' 

Winnie Cooper was a math tutor at University

I wish I was her derivative so I could lie tangent to her curves.

You've got a very formidable list of crap to cram (meaning I don't know what half those things are) so I suppose I'll just suggest a few generally common-sense things to do.

First off, try to guess at what sort of problems will be on the exam. You can sort of gauge this from the nature of the problems that your prof gives you for quizzes, previous tests, etc.

By now and then, for each subject you need to read the textbook unit 8 times. Yes, 8 times -- thoroughly. Do a particularly hard problem after every other reading. You should improve. Maybe you can be absent tomorrow and tuesday so you can work on this stuff more? At any rate, after doing this for 2 units that you know will be huge parts of the exam, you should definitely be able to get more points.

Also, SLEEP.

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.

Go, Crumply, go!

*waves flag*