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YouTube of Australian Team: http://www.youtube.com/watch?v=9GNMIBA2Hec

Here are the questions http://www.angelfire.com/ab7/fourunit/imo2008.pdf (with questions 4-6 added)

For a dynamical system to be classified as chaotic, it must have the following properties: it must be sensitive to initial conditions, it must be topologically mixing, and its periodic orbits must be dense. Here are some links for chaos. http://mathworld.wolfram.com/Chaos.html...

I'd prefer to use this version: This reduces the quartic down to two quadratics via the resolvent cubic which you solve using the cubic formula: Then just solve the two quadratics with the <a href="http://mathworld.wolfram.com/QuadraticFormula.html">quadratic formula</a>. I made a thread...

Your teacher may not be aware that there are more than 1 definition. You'll get a different answer to no_arg's question depending on which definition you use.

But getting back to your example, I think it is a good one because the syllabus says y'' must be 0 at an inflection and change sign either side. Whilst that's OK for most examples, there will be some examples (like yours) for which it isn't true. So the syllabus's description does not suffice as...

Some books require it to be smooth as well, and your example qualifies for this, so is not too controversial. However other examples where it is not smooth at (a,b) may also change concavity at (a,b). This is where it gets controversial. Some books still call it an inflection, others don't...

It changes concavity at (0,0), so this is an inflection. But all the derivatives of order greater than 1 do not exist at (0,0).

Well the speech you refer to is online at http://news.ieu.asn.au/nc_engsympjun08_edminister2.doc in which the Minister of Education said that he would reject the dismantling of the NSW curriculum if an alternative is in any way lesser than what the State currently has in place. So when...

This is incorrect. e = 2 + 1/2! + 1/3! + 1/4! + ............ This is because e = 1/0! + 1/1! + 1/2! + 1/3! + 1/4! + ............ Anyway, I wrote some notes on e at http://www.angelfire.com/planet/threeunit/factsaboute.pdf http://www.angelfire.com/planet/threeunit/e.pdf

Yes there is. And it was reviewed <a href="http://www.maa.org/reviews/GreatPieDebate.html">here</a>.

Have you guys seen the video The Great Pi/e debate before you voted? You can get it at https://www.maa.org/EbusPPRO/Bookstore/ProductDetail/tabid/170/Default.aspx?ProductId=1440

The same can be said of MANSW's recommendations from yesterday's meeting.

Why don't you write a submission? I did. Here it is: http://www.angelfire.com/ab7/fourunit/submission3.pdf

Here's my 3rd submission: http://www.angelfire.com/ab7/fourunit/submission3.pdf

I don't want to reveal too much at this stage, but I can say that if they adopt the IEU's recommendations, the final syllabus will look very different from the draft.

I put that in my <a href="http://www4.tpgi.com.au/nanahcub/submission.pdf">first submission</a> for the review of the current syllabus. I since wrote a <a href="http://www.angelfire.com/ab7/fourunit/response-extract.pdf">second submission</a> for the writing briefs. For the draft syllabus, I'll...

Meetings There was one on General Maths which I did not attend held at MANSW Head Office at 1:30pm – 4:30pm, May 24, 2008, Kent Road Public School Hall. Cnr Kent and Herring Roads Eastwood. As far as I know, nothing has been published from this meeting. There was one today which I attended at...

Have MC like the AMC? Is the HSC a competition? If so then how are results reliable and valid in the context of standards referencing? They aren't. So here's a MC for you. Vested interests are at play here. Choose which of the following are correct. A. Cost cutting. Thousands of tax-payer...

The President of MANSW has proclaimed in the June 2008 Secondary Newsletter that "MULTIPLE-CHOICE QUESTIONS WILL BE PART OF ALL THREE CALCULUS COURSES". MANSW is also holding a meeting on June 14 at 1:30 – 4:30pm, Kent Road Public School, Eastwood, for their submission to the Calculus courses...