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It's Component B (unfamiliar questions). These are supposed to be in Ext 2 (and Ext 1 and 2 unit) - as well as Component A (familiar ones). So if you don't like Component B, do General Maths instead.

A few days ago a new proof appeared: Morgan, J.W. and Tian, G., Ricci Flow and the Poincare Conjecture, July, 2006 (http://arxiv.org/pdf/math.DG/0607607)

I made a file, "Facts About e" below. Maybe your teacher has told you everything in it. And maybe not. http://www.angelfire.com/planet/threeunit/factsaboute.pdf (updated on Feb. 9, 2007)

The best thing in my DipEd was the practicum. But they don't fund practicums properly in uni's. They should put more into it.

I did a BSc. DipEd. But I changed uni's to do the DipEd because they got rid of the 1-year DipEd and replaced it with a 2 year course which I didn't want to do. The other uni still had the 1-year DipEd, so they got me for that. I did the BSc at Sydney uni and then the DipEd at Newcastle uni. I...

And here's lots and lots. http://www.geocities.com/ext2papers http://www.geocities.com/fourunitmaths http://www.angelfire.com/ab7/fourunit

Actually, Wiles' proof is a reductio ad absurdum (albeit a very abstract one): All Frey curves are nonmodular and all semistable elliptic curves over Q are modular. (In fact all elliptic curves over Q are modular.) A Frey curve exists if an only if Fermat’s Last Theorem is false. If Frey curves...

I signed the petition. I think she has a right to express her opinion. But the panel is an advisory panel and advice given should not be skewed by gender bias. Hence, by exercising her right to express her gender biased views, I believe she has obliterated her right to be on the panel.

By executive order, President Bush created a 260 million dollar maths panel: http://www.ed.gov/about/bdscomm/list/mathpanel/factsheet.pdf But recently, there have been calls for the sacking of one of the members of the panel because she said males are better than females at maths...

A mathematician, like a painter or poet, is a maker of patterns. - G.H Hardy

Or you could just divide by inspection: x⁴⁵+1=(x²+4)(x⁴³-4x⁴¹+4²x³⁹-4³x³⁷+...-4²¹x)+4²²x+1 So the remainder is 4²²x+1 Edit: It's not as hard as it looks. It's just a...

Yep. It's A5 in the 2005 Putnam: http://www.unl.edu/amc/a-activities/a7-problems/putnam/-pdf/2005.pdf And there are 4 methods (one of which is Yip's) in the pdf http://www.unl.edu/amc/a-activities/a7-problems/putnam/-pdf/2005s.pdf

Yeah. But it's got a Taylor's series: <table align="center" width="100%" cellpadding="0" cellspacing="0" style="padding-left: 50px" border="0"><tr style=""><td align="right" width="1"><img src="http://mathworld.wolfram.com/images/equations/TaylorSeries/inline22.gif" width="26" height="18"...

The 2006 SMH HSC Study Guide is out today. Here's what they said about Mathematics Extension 2: The Extension 2 paper consists of eight questions, each worth 15 marks. It is important to manage your time well. Remember to use the fact that the numbered sub-parts of a question are often...

"Ideally, when teaching any course, we would like our students to be able to take the ideas they have learned and adapt them to other situations. Having a student develop a third derivative test for possible points of inflection and apply it intelligently certainly fits that goal." Gordon, S...

The 2006 IMO was held at in Ljubljana, Slovenia, on July 12 and July 13, 2006. The Australian team was Charles Li, Sydney Grammar School, NSW Vinoth Nandakumar, James Ruse Agricultural High School, NSW Matthew Ng, Scotch College, VIC Vinh Pham, Sydney Boys High School, NSW Konrad...

The Poincare conjecture states that a closed, smooth, simply connected 3-manifold is diffeomorphic to S³: Poincare, H. Cinquieme complementa l’analysis situs, Rend. Circ. Mat. Palermo. 18, 1904, pp. 45-110. The first person to prove the Poincare conjecture was Grisha Perelman...

The history of this is an important thing to consider as far as the origins of complex numbers are concerned. See the references below There are some Newton's method approximation questions on cubics and quartics in past HSC papers, and although it's not required in these questions...

His download page is at http://www.hsccoaching.com/Downloads.html. At the moment it only has some of his exercises for 3 unit. It used to have his 4 unit exercises, but he deleted them. Also, from time to time he puts his 4 unit HSC solutions here, but only temporarily. There are assignments...

That's Taylor's series which is a bit more complicated: http://mathworld.wolfram.com/TaylorSeries.html Maclaurin has c=0. There's no need to remember them off by heart. As for your teacher's problem, a graphical approach would clearly indicate there should be 2 solutions, so I'd say your...