UWA Academy for Young Mathematicians Lecture Notes

Below is a schedule of lectures Greg Gamble has given to the UWA Academy for Young Mathematicians in 2006. All Number Theory problem solutions are included.

• Number Theory
  • Lecture 1 (18 March, 2006):
    Number Theory I: introduction
    Topics: Divisibility, Prime numbers, Sieve of Eratosthenes, Gcd
    • Number Theory I: Problems
    • Number Theory I: Problems with Solutions
  • Lecture 2 (25 March, 2006):
    Number Theory II
    Topics: Euclidean algorithm, Modulo arithmetic
    • Number Theory II: Problems
    • Number Theory II: Problems with Solutions
  • Lecture 3 (8 April, 2006):
    Number Theory III
    Topics: Fermat's Little Theorem, Cryptosystems
    • Number Theory III: Problems
    • Number Theory III: Problems with Solutions
• Plane Geometry
  • Lecture 1 (21 October, 2006):
    Plane Geometry I: Main theorems and glossary
    Topics: Definitions, Lines and angles, Congruence of triangles, Some circle theorems
    • Plane Geometry I: Problems
  • Lecture 2 (4 November, 2006):
    Plane Geometry II
    Topics: Circumcircle, Incircle, Sine rule
    • Plane Geometry II: Problems
  • Lecture 3 (18 November, 2006):
    Plane Geometry III
    Topics: Cevians
    • Plane Geometry III: Problems

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