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I've attached a solution to the 2002 HSC question 8a (i)-(iii) with this extension.

Here's another lecture by Tao given at UCLA in 2007, similar to the one he gave at Sydney uni. in 2008: http://video.google.com/videoplay?docid=7691494040933085582 (note however that this one is a bit out-of-sync)

No. But there are other videos of Tao. Here are some from 2006 (the year he won the Fields Medal). Check out the youtube ones: http://www.youtube.com/watch?v=zO7m7LS8dyg http://www.youtube.com/watch?v=p6ZUeQv2yFQ And here is a full length lecture by Tao...

Right. ..........................

The HSC material will go onto the Board of Studies website, and the SC material might go up onto MANSW's website.

Are you interested in how the 2007 HSC and SC were marked? If so, you can go to the examiners day on Saturday 23rd February 2008 at Macquarie University – Mason Theatre - 9am. Free for MANSW members, $35 for non-members.

The lecture notes are now available: From Sydney Uni: http://terrytao.files.wordpress.com/2008/02/structure-and-randomness-in-the-prime-numbers.ppt From Katoomba: http://terrytao.files.wordpress.com/2008/02/anziam1.pdf and http://terrytao.files.wordpress.com/2008/02/anziam_pics.pdf...

yorkstanham's school motto says, De virtute in virtutem. How very apt! So why concern yourself with such pedestrian rubbish? See if you can do this one instead. If two distinct points on E: y²=x³+x²-2x-3 are A(x₁, y₁), B(x₂...

Nope. It only has 1 real root. The other 2 are complex. See http://www.angelfire.com/ab7/fourunit/Image-5.jpg for the roots a,b,c See http://www.angelfire.com/ab7/fourunit/Image-7.jpg for a solution to questions a) and b) See http://www.angelfire.com/ab7/fourunit/Image-8.jpg for an...

It's on the Board of Studies website on the bottom of page 40 in the document http://www.boardofstudies.nsw.edu.au/syllabus_hsc/pdf_doc/maths-st6-calculus-dwb.pdf (from 2007) "Euler’s formula (e^iθ=cosθ+isinθ) has been included in the revised Mathematics Extension 2...

I don't think <a href="http://www.itute.com">itute</a> have solutions to the AMC anymore. They've still got solutions to HSC exams though. Also, it said for a while on the <a href="http://www.amtt.com.au">AMT website</a> that the 2007 AMC solutions aren't available yet. Well that must have been...

No way. It's much better with Euler's identity. It's almost right. But you are assuming the answer is only one number. It isn't. It's an infinite set of numbers. iⁱ={(e^{&pi;i/2+2&pi;ik})ⁱ}_k&epsilon;Z={e^{-2&pi;k-&pi;/2}}_k&epsilon;Z.

So why is it a better question? Because this happy fact is used extensively in the arithmetic of elliptic curves and you can read more about it in Silverman, J. H. and Tate, J., Rational Points on Elliptic Curves, Springer, 1992.

Solution Then let a=0.

On the other hand by contrast to the boring sludge produced by the ACER and CC in 1994, and the NSW BOS in 2003 for 7-10, there currently is an attempt by Garth Gaudry's (the guy who taught Terry Tao, no less!) ICE-EM to improve 7-10: http://www.icemaths.org.au/ But unfortunately since the...

No. They take General Maths because they are not interested in maths. They have become disinterested in it due to the reasons you indicated about the standards of 7-10. 7-10 can and should be made more interesting, as should the senior syllabuses. They should not be dumbing down 4 unit by...

Vafa, when are you going to put more notes up? I think it's a good idea.

That's OK if the syllabus is interesting. But only boring people would want to teach a boring syllabus. And that's the problem with both the current senior syllabus and the new one. They both are pretty boring. The same can also be said of the 7-10 syllabus. So kids go to school, go to boring...

This was also suggested to the BOS and some people agree that this would be better. But unfortunately they decided against it due to staffing issues. Whilst some schools have teachers well qualified to teach such a separate stats course, many schools do not. So they decided against it and...

A syllabus motivated entirely by applications will be substandard. As Bernardo Recamán Santos said on <a href="http://www.ams.org/notices/200707/tx070700822p.pdf">page 823 in the American Mathematical Society's Notices, August, 2007 issue<a/>: “Mathematics is what is lost in its applications.”...