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

February 28, 2014

February 26, 2014

OS X 10.9.2 Mavericks Build 13C64 was released today for Apple Macintosh computers.

A full installer is also available on the mac app store. You will need this if you want to make a bootable usb installer. The procedure for doing this is the same as for the 10.9 golden master and 10.9.1 - which I previously explained at http://users.tpg.com.au/nanahcub/mavericks.html

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

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