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I think the Taylors series method is the best one for e. But that's not the method in the Ind. paper. Their method uses no calculus whatsoever. Here's the question in the paper: <img src=http://www.geocities.com/threeunitnotes/e1.gif width=750> Solution: <img...

It's a lot easier than the methods in past HSC exams.

The method only uses 3 unit. Can you do a 3 unit proof for the irrationality of &pi;?

Most mathematicians believe the RH to be true. One (amongst only a few) who did not believe it was Atle Selberg. It saddens me to have to report here that he died a couple of days ago. He won the 1950 Fields Medal for his proof of the Prime Number Theorem - a more elementary one than ones...

Which station? I'm sorry I missed it. It'd be great to put the mp3 of it onto BOS.

Yes. Then those subjects will show up in http://www.boredofstudies.org/premium-resources.php But you can access them anyway in the resources sections - which is just as well because you should be able to access these resources independently of SAM. The trouble with SAM for premium members...

PrettyVacant is right. The premium resources are near the top of the page in the resources sections. However (... and I suspect this might be the problem ...) there are only premium resources for some subjects, not all. So if you wanted premium resources for a subject for which they do not...

A video of Tao's Cosmic Distance Ladder talk is online now at http://qtss.amsi.org.au:80/qtmedia/Media/Terence_Tao.mp4 (146 Mb) (other videos from the conference are: http://qtss.amsi.org.au:80/qtmedia/Media/Steven_N_Evans.mp4 (159 Mb) http://qtss.amsi.org.au:80/qtmedia/Media/Ngaiming_Mok.mp4...

Find the inverse of y=x³-3x²+4 for 0&le;x&le;2

As from this month, the full issues of the American Mathematical Society's Notices will be online for free. Previously only excerpts were online for free. This is a good resource for current develpoments in mathematics: http://www.ams.org/notices June/July 2007 Issue...

The 48th International Mathematical Olympiad was held in Hanoi, Vietnam on July 25-26, 2007 Here are the questions (also available as a pdf <a href="http://users.tpg.com.au/nanahcub/imo2007.pdf">here</a>): Official website: http://www.imo2007.edu.vn/index.htm There is also a forum it at...

It's OK if it's indefinite. For definite ones however it's better to leave the limits as values of x and not change them to the corresponding values for what you end up integrating with respect to - unlike in substitution where you do change these values. The reason for this is that your answer...

Don't be such a philistine. Rather than burning your books, consider giving them to someone else more deserving of them than you.

Almost. There's no .au: <a href="http://www.hsccoaching.com">www.hsccoaching.com</a> and the page you can get the book from is http://www.hsccoaching.com/Shop.html Also, as for the pdfs with the recalcitrant font, you need <a...

Furthermore, the official BOS position is in the 4 unit examiners comments for 2005: (page 9 of http://www.boardofstudies.nsw.edu.au/hsc_exams/hsc2005exams/pdf_doc/maths_ext_2_er_05.pdf )

Yeah. That's according to Ian Woodhouse (head maths teacher at James Ruse) and Rod Yager (chief examiner). Scott Lankshear (head maths teacher at SCEGGS Darlinghurst) disagrees. He wants students to do it the wrong way. Scott's not alone in this. Rod told me that 75% of teachers are...

That was another controversy that came up because the MANSW solutions for 3 unit had the mantra Since the result is true for n=1, the result is true for n=1+1=2 and n=2+1=3, and so on. Therefore, the result is true for all positive integer values of n. It was put there by Scott Lankshear, Head...

Who went? I did. Examiners comments: SC: http://www.mansw.nsw.edu.au/pd/ppt/MANSW-Examiners-Day-2007.ppt HSC: G: http://www.boardofstudies.nsw.edu.au/hsc_exams/hsc2006exams/pdf_doc/general_maths_notes_06.pdf 2u...

You can buy them from the AMT at http://www.amtt.com.au