10 cp Prerequisite: Year 12 Advanced Mathematics) (NSW); Further Mathematics or Mathematical Methods (Vic) assumed Teaching Organisation: 4 contact hours per week for twelve weeks or equivalent.
This unit investigates and develops many of the most common methods of proof in mathematics. These methods are motivated by consideration of several topics that require these techniques. The unit will begin with an introduction to logic and several methods of proof. These will be developed in topics including basic combinatorics, number theory and some simple transfinite set results.