UWA Academy for Young Mathematicians Lecture Notes

Below is an index of lectures, with lecture notes and problems, Greg Gamble for lectures in 2008 to UWA Academy for Young Mathematicians. Notes and problems will be added once the lecture has happened. Solutions for problems that were solved in the lecture, and for problems where attempts were received from students are given. The notes and problems or problems with solutions below are provided in .pdf format, which requires you to have Acrobat Reader installed on your machine. If you find a mistake I'd certainly like to know. Please email me and tell me about it.

• Lecture 1 (10 May, 2008):
  Pigeon Hole Principle
  • Pigeon Hole Principle: Problems
  • Pigeon Hole Principle: Problems with some Solutions

    Solutions to Problems 1-9., 11. and 12. are included.

• Lecture 2 (24 May, 2008):
  Plane Geometry
  • Plane Geometry - Circles: Problems
  • Plane Geometry - Circles: Problems with some Solutions

    All solutions to problems done in class and homework problems are included.

• Lecture 3 (7 June, 2008):
  Plane Geometry - Tangents with some proofs

  Some proofs have been added.

  • Plane Geometry - Tangents: Problems
  • Plane Geometry - Tangents: Problems with Some Solutions

    Solutions for Problems 1, 2, 3, 5, 9 and 10 are included.

Last updated: 1 August, 2009.

Greg Gamble http://school.maths.uwa.edu.au/~gregg/