**New South Wales Higher School Certificate Mathematics Extension 2**

(Online since January 1, 2001)

Mediocrity is something you can buy. Excellence is something you can download from the internet for free!

**October 2, 2015**

A new reference sheet will be published on the BOSTES website in November following the completion of the 2015 HSC which will be used in HSC exams for calculus courses beginning in 2016: http://news.boardofstudies.nsw.edu.au/index.cfm/2015/10/2/Development-of-new-reference-sheet-for-HSC-Mathematics-examinations-from-2016

**October 1, 2015**

El Capitan has been released. Here are instructions for making a bootable usb: http://users.tpg.com.au/nanahcub/elcapitan.html

**September 18, 2015**

During the Education Council meeting today it was announced that an updated version of the F-10 National curriculum will be published in mid-October: http://www.scseec.edu.au/site/DefaultSite/filesystem/documents/Communiques%20and%20Media%20Releases/2015%20Communiques/Education%20Council%20Communique%20-%2018%20September%202015.pdf

**July 11, 2015**

International Mathematical Olympiad 2015

**May 15, 2015**

Version 7.5 of the Australian Curriculum was released today:

http://www.australiancurriculum.edu.au/Download/F10 (for F-10)

http://www.australiancurriculum.edu.au/Download/SeniorSecondary (for Senior)

**March 7, 2015**

New youtube of Terry Tao:

(link: https://www.youtube.com/watch?v=P3dLcTkJRr0)

**December 8, 2014**

**Teaching Resources**

4 unit Syllabus (from boardofstudies server)

2 and 3 unit Syllabus (from boardofstudies server)

Terry Lee's HSC Solutions website

Youtube video for the new VERIFY function on the CASIO fx-82AU PLUS II calculator

Vectors summary ; Matrices summary

Alternative solution to James Ruse 2011 Trial Question 8b

Solution to 2010 Mathematics Extension 2 HSC exam Question 8

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

Barbarians at the Helm, by Derek Buchanan

How NOT to find the surface area of revolution, by Derek Buchanan

Johan Wastlund's Elementary Proof of the Wallis Product Formula for pi

Yet another proof of the irrationality of e

Professional mathematics versus amateur mathematics

2^{57,885,161}-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 3756801695685x2^{666669}±1 both of which have 200,700 digits.

They are at http://4unitmaths.com/tp1.pdf and http://4unitmaths.com/tp2.pdf.

Summary of the proof of Fermat's Last Theorem

Online video on Fermat's Last Theorem: msri

Bill Pender's Harder 3 unit inservice

English translation of Hilbert's radio address

International Mathematical Olympiads

1916 LC, 1989 HSC and 2001 HSC

Another proof of the irrationality of e

Alternative solution to 2003 HSC Q3(a)(iv)The General Conic and Dandelin Spheres

Proof of the Fundamental Theorem of Algebra

**University Mathematics**

Proof of Fermat's Last Theorem

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

Proof of Poincare conjecture - part 1

Proof of Poincare conjecture - part 2

Proof of Poincare conjecture - part 3

The Riemann Hypothesis - Part 1

The Riemann Hypothesis - Part 2

Lagarias Equivalence to the Riemann Hypothesis

Birch and Swinnerton-Dyer conjecture

The ABC Conjecture and Mochizuki's proposed proof

**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**

http://community.boredofstudies.org/14/mathematics-extension-2/

http://www.artofproblemsolving.com/community

**Other websites**

Higher School Certificate Online

The American Mathematical Society

Last modified on October 2, 2015 by

Derek Buchanan

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Copyleft: Derek Buchanan, 2001