/mg/ - Math General

last i checked there was a guy calling everyone redditors and saying that applied math doesnt exist

I have done method four in the course of my own problems to refresh my memory on multiple occasions. so quasi-ascended tier.

Pascal's triangle is no meme. It's useful as fuck, and useful to sketch out on-command without repairing to a calculator.

I'm in second year and I still use Pascale's triangle occasionally for small exponents

Now do Stirling numbers

do lah numbers

>Pascal's triangle instead of just applying the formula
Absolutely pleb tier

the interviews are actually pretty good at being "unpreppable" ie more of an iq test.
but here are some things to think about:

with #2, we are graphing some equation of abs(x) and abs(y), so whatever it is, will be the same in each quadrant.

think in general about abs(x)^n + abs(x)^n = 1.
clearly (0,+1), (0,-1), (+1,0), (-1,0) will always be solutions
for n=2, we have a unit circle
for n=1, we have a "diamond-orientated" square

now think: intuitively as we went from n=2 to n=1, we "squeezed" the corners inwards (keeping the four points fixed). so as n gets smaller again, we do the same.

for larger n, we do the opposite (pull the corners out), till we end up with a unit square (which happens to be Max(abs(x),abs(y))=1).

the other q: consider tan(y)=x (this is just y=tan(x) with the coordinates switched).

tan(y)=abs(x) is the above with the right-hand side of the plane copy and pasted onto the left-hand side (because tan(y)=abs(-x) iff tan(y)=abs(x) ).
tan(y)=x^2 is the above with the graph "smoothed out" because x^2 is the "smooth version" of abs(x).

pic related

but if you want some advice from a 2nd year ox maths student who had shit grades -- FOCUS ON THE MAT. they just use the interview to check you arent somehow retarded.

good luck tho :) what college you thinking of?

>1/x1 + 1/x2 + ... 1/xn = f(m) * (1/(x1 + m*b) + 1/(x2 + m*b) ... 1/(xn + m*b))

btw, are x1 and x2 distinct variables or x^1 and x^2 ?

>tfw probably got an A on my combinatorics exam

Wow, thanks for the input. That's very helpful.

What did you get on the MAT? How do you think your interview went? Did you ask for feedback?

I'm applying to SJC, which college are you at?