The Canadian IMO Team Training Web Page

Winter Camp, York University, Toronto, January 3rd -- 8th.

• Miscellaneous exercises, Arthur Baragar.  These are the exercises that did not appear on handouts.
• Evil problems on recurrence relations, Richard Hoshino.
• Mock exam one.
• Symmetry and homogeneity, Richard Hoshino.
• IMO inequality problems, Richard Hoshino.
• Functional equations, Naoki Sato.
• Solutions:
• Exercise 1, Ralph Furmaniak.  TeX source.
• Exercise 7, Ralph Furmaniak.  TeX source.
• Solving algebraic problems using trigonometry, Valeria Pandelieva.
• Some problems in probability, Neal Madras.
• Sequences and series, Naoki Sato.
• Inversion in geometry, Arthur Baragar.
• Number theory, Arthur Baragar.
• Mock exam two.

Correspondence and technical resources

• LaTeX is a program that produces publishing grade output (most of the above handouts were produced using LaTeX).  It was designed for scientific publishing, so in particular, handles equations very well.  The source code (what I am asking from you) is in ascii format (the characters of a regular keyboard), so is easy to email.  LaTeX compilers are available for free and for several different platforms (unix, Mac, PC) from http://www.ctan.org .  They also have a starter page, for the novice.  The PC version is MikTeX, which is available from their site, http://www.miktex.org .  I recommend too the use of Winedt, a front end for PC's (which simplifies producing TeX documents).  This is available (for trial periods or purchase) from http://www.winedt.com .  They also have links to other LaTeX resources.  Mac and unix users -- you're on your own.  I also found a primer for LaTeX at the Pi Mu Epsilon website.  This is the source file for this output.
• Diagrams:  I can include diagrams in LaTeX documents, but it takes some work.  I suggest creating diagrams using Geometer's sketchpad and sending those to me.  In your TeX documents, include the line "INSERT DIAGRAM <name> HERE."  I will insert them myself.  If you are using Cabri or Cinderella, let me know what outputs they can create (wmf, pdf, eps, the like) and I'll let you know what I can handle.
• Adobe Acrobat:  The final product is a pdf file, which is readable using Adobe Acrobat, a program available for free from Adobe.  Please visit their site to obtain a copy, if you don't already have one.

Useful Links

• Naoki Sato's site.
• The Canadian Math Competitions site maintained by the CMS.
• The American Math Competitions website contains a lot of material.  In particular, I would like to draw your attention to the following:
• Problem Archive, of USAMO, IMO, APMO.
• Putnam exams.
• Student Corner, which includes a reading list, and a very nice geometry package (this is an unfinished project, and has no diagrams) by Kiran Kedlaya.  There is also a package on inequalities that I presume is just as good.
• More links, so I don't have to put any more here.