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 ; 223 papers

New

March 31, 2015

Beta build 14D127a for OS X Yosemite 10.10.3 was released today to public beta testers. More on Yosemite is at http://users.tpg.com.au/nanahcub/yosemite.html

March 7, 2015

January 5, 2015

Version 7.3 of the Australian Curriculum was released today:

December 8, 2014

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

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 video on Fermat's Last Theorem: msri

Wiles' 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): Verbosus ; ShareLaTeX

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

Forums

Other websites

Fields medallists