Search results

Depends how much you care about learning the way maths works. 2962 is undoubtedly harder, but sets you up with a really good foundation to learn more analysis later. 3068 might move faster through topics but you will get less acquainted with the key ideas in analysis that occur again and again...

Haha I still remember my sister getting annoyed at me for being so disappointed.

Finding it fun or the logic behind it suiting me better? I think a harder exam is a better means of comparison in general.

And how did you use: e = Infinite sum of (1/n!) to deduce irrationality?

A difficult exam would have suited me better ranking-wise (as well as being more fun).

Unfortunately, that was my year...

My advice would depend mostly on your reason for doing it, and on whether you plan on doing any maths beyond this course. If you want to learn analysis "properly", my answer is 100% 2962, it is a great starting point. If you ever intend on learning harder analysis, doing 3068 here is probably...

Also, how the notion of an invariant can sometimes completely kill a problem: Consider the following question: Is it possible to tile an 100x100 grid of squares with a pair of opposite diagonal corner squares removed using 2x1 tiles? Proof by invariants: If we colour the grid like a...

Some things to add: Concept: Duality in all its forms. Trick: Integration by parts to control oscillatory integrals, conjugation by the Fourier transform changing differential operators to multiplication operators, continuity/bootstrap arguments.

yeah, and usually mix in something like peanut butter or protein powder before adding milk to make them more substantial. oats are great.

Oats. Tuna.

Well, waving your hands and pretending that you understand why random cool things are true.

Re: HSC 2013 4U Marathon $Suppose $p(x)$ is a polynomial with rational coefficients such that whenever $p(x)$ is rational, $x$ is rational. What possible degrees can $p$ have? $

I guess your IQ isn't high enough...

If anyone needs solutions to a couple of particular questions before Carrot and Trebla release their official solutions, I am willing to write mine up.

Cool :). Yeah I figured that if I did this myself in exam conditions, time would be the biggest issue.

How does everyone think they went?

what is (n-2)-1?

Does that count for me too? ;) (If you can trust me to do the exam in 3 hours, I only looked at the two questions you asked me to check for rigour last night.) Edit: Well for 4U, not 2U.

When/where will the paper be uploaded?