New South Wales Higher School Certificate Mathematics Extension 2

(Online since January 1, 2001)

Theme song - Spem in alium

Ext. 2 Practice papers: 200 papers ; 160 papers

New

July 25, 2014

Yosemite

Apple released the OS X 10.10 Yosemite public beta 1 today. It has build number 14A299l. You can get it at https://appleseed.apple.com/sp/betaprogram/

Here is how to make a bootable usb of the Yosemite public beta 1 installer.

Format an 8 GB USB drive which should be called Untitled and formatted as Mac OS Extended (Journaled). The installer should be called Install OS X Yosemite Beta.app and should be in your Applications folder.

Run this in terminal and wait about 20 minutes:

sudo /Applications/Install\ OS\ X\ Yosemite\ Beta.app/Contents/Resources/createinstallmedia --volume /Volumes/Untitled --applicationpath /Applications/Install\ OS\ X\ Yosemite\ Beta.app --nointeraction

You can boot up from it by selecting it from the startup manager you get when starting your computer and holding down the option key.

July 18, 2014

Note there is a mistake in the video. The woman at the start says he is in year 12. He isn't. He is in year 11. The mistake is repeated in the caption.

July 17, 2014

July 12, 2014

55th IMO Results

An Australian (Alexander Gunning) is one of only 3 out of 560 contestants to get a perfect score in the 55th International Mathematical Olympiad held a few days ago. It is the first time ever that an Australian has got a perfect score! Results are out today.

People's Republic of China had overall country rank 1 with 5 gold medals and 1 silver medal, (which USA also got), but total points were 201 (and USA got 193 and country rank 2).

There were 3 perfect scorers, one of whom was from Australia! (individually ranked equal 1st out of 560):

Alexander Gunning (Australia), Jijang Gao (People's Republic of China), Po-Sheng Wu (Taiwan)

Medal cutoffs: Gold=29, Silver=22, Bronze=16

Results for Australian Team: rank=11 out of 101, total=156 out of 252:

Alexander Gunning: 7+7+7+7+7+7=42=Gold Medal (and perfect score!) (rank=1)

Seyoon Ragavan: 7+2+0+7+1+0=17=Bronze Medal (rank=256)

Mel Shu: 7+7+0+7+2+0=23=Silver Medal (rank=109)

Yang Song: 7+3+0+7+3+0=20=Bronze Medal (rank=200)

Praveen Wilerathna: 7+7+0+7+7+0=28=Silver Medal (rank=50)

Damon Zhong: 7+5+0+7+7+0=26=Silver Medal (rank=83)

July 9, 2014

July 1, 2014

Mavericks 10.9.4 build 13E28 was released today:

Delta update: http://support.apple.com/kb/DL1754

Combo update: http://support.apple.com/kb/DL1755

A full installer is also on the mac app store, which you will need if you want to make a bootable usb for 10.9.4.

June 23, 2014

Terry Tao has won one of the $3m breakthrough prizes: That's worth more than a Nobel Prize! February 28, 2014 February 18, 2014 Version 6.0 of the Australian Curriculum was released today: January 10, 2014 Today the government announced a review of the national curriculum. Teaching Resources 4 unit Syllabus (from boardofstudies server) 2 and 3 unit Syllabus (from boardofstudies server) Link Between 1995 and 2010 HSC Exams Leads To Generalised Wallis Product (preprint) - another version appeared in MANSW's Reflections, Vol. 36, No. 4, 2011, pp. 22-23 How NOT to find the surface area of revolution, by Derek Buchanan Yet another proof of the irrationality of e DON'T BAN YOUTUBE! Three Unit Notes 1 Three Unit Notes 2 Alf van der Poorten's 28 online Number Theory lectures (28 mp4's) Professional mathematics versus amateur mathematics 257,885,161-1 was discovered on January 25, 2013 to be the largest known prime by Curtis Cooper. It has 17,425,170 digits which you can get here. More info on this discovery is at http://www.mersenne.org Also, on December 25, 2011 the largest known twin primes were found by Timothy D. Winslow. They are 3756801695685x2666669±1 both of which have 200,700 digits. They are at http://4unitmaths.com/tp1.pdf and http://4unitmaths.com/tp2.pdf. Online videos on Fermat's Last Theorem: youtube ; msri Wiles' online lecture Clay Meeting online Tate's online lecture Atiyah's online lecture 2004hsc8bsol.pdf Alternative solution to 2003 HSC Q3(a)(iv) Have your pi and e it too. The General Conic and Dandelin Spheres The Cubic Formula The Quartic Formula Proof of the Fundamental Theorem of Algebra University Mathematics The Putnam Competition Harvard University's notes Proof of the Taniyama-Shimura-Weil Conjecture Beal Prize for$1,000,000 for proving (or disproving) the Beal Conjecture, i.e., that the only solutions to the equation $$A^x + B^{\ y} = C^{\ z}$$, when $$A$$, $$B$$, $$C$$, are positive integers, and $$x$$, $$y$$ and $$z$$ are positive integers greater than 2, are those in which $$A$$, $$B$$ and $$C$$ have a common factor

Online LaTeX editors

Too many philistines are using Word. They should stop being philistines and start using LaTeX.

For web browsers (nothing needs to be installed): MonkeyTeX ; Verbosus ; ScribTeX

iPad app: TeX Touch. Files created in this app can be compiled via the TeX Cloud.

Forums

Other websites

Fields medallists