Search results

People say that, but I don't get it. If passes are all that's required for your degree it is definitely easier to scrape a pass in uni than it is to do well in the HSC. If you want something higher than a pass for whatever reason, it is your choice to work for it. University life can be as...

Three fairly difficult papers: http://4unitmaths.com/2001moriah.pdf http://4unitmaths.com/moriah2002.pdf http://www.angelfire.com/ab7/fourunit/moriah2003ext2.pdf

Haha dude there was no need to be, was just chilling in there :). Yeah day was fun, good way to take my mind off uni work and meet bos people. Hope you enjoyed it too.

See you guys tomorrow, will get there 10ish.

No worries.

It isn't THAT obvious... My solution: a) comes straight from the definition of binomial probability. For b), let X be the number of heads thrown by A and Y the number of heads thrown by B. Since the probability of any individual flip being heads is 1/2, the probability of A throwing k more...

Amongst other things. The two most obvious directions calculus can take us are to differential geometry via vector calculus, and to complex analysis which can be one of the most beautiful branches of mathematics.

Yep, I definitely do get what you mean. (Although you will find that calculus becomes a lot more interesting than mindless computation when we consider functions defined on higher dimensional spaces / the complex plane / manifolds.)

What areas of mathematics are you most interested in Fus Ro Dah?

I assume you are forcing alpha to be integral and wondering if there necessarily exist rational a,b,c such that your equation holds. The answer is in the negative: The question can be related to one of Galois theory. Observe that the RHS is the root of a quadratic with rational coefficients...

It is pretty surprising haha.

The expression is identically 2 for (x,y,z) satisfying the given constraint. It falls out from the substitution x=u/v, y=v/w, z=w/u. Such a triple (u,v,w) exists (and is unique up to non-zero real multiples) for any given triple (x,y,z). [The point of the substitution is it incorporates the...

Nope. The HSC mathematics exams are tests of your ability to apply the techniques learned in the various HSC mathematics syllabi...By using outside-syllabus techniques you are not demonstrating the skills they are actually trying to test. (Whether or not this is a good system is another issue...

Lily was a babe.

I assume you mean no nontrivial zeroes.

That is incredibly insulting...silly teacher. Though of course you shouldn't do anything risky like that in the HSC.

It's an alternate spelling, the s is indeed silent.

Huh?

Short answer: Because no one has defined it. EDIT: And L'Hospital's rule was most likely discovered by Johann Bernoulli...L'Hospital was an aristocrat who paid Bernoulli to teach him calculus.

I once managed to 'scab' from 92 to 99 in a Mathematics exam. Legitimately though, markers missed questions and made silly mistakes.