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**"SMA109:2012-1"**## SMA109: Week Three

*By tom denton On October 19, 2012 · 1 Comment*

This week, we continued discussing infinite sets of numbers, bijections, and modular arithmetic (alongside Pythagorean triples).

Here are some challenge problems to consider!

Are there natural numbers such that ? If so, find them, if not, explain why. Are there such that and exactly two of a,b,c are divisible by n? If so, find an [...]

## SMA109: Week One

*By tom denton On September 25, 2012 · 6 Comments*

For the first week, we explore basics of functions and permutations, picking up basic notation that we will use throughout the course.

On Tuesday, we obtained a definition of a function after first learning an informal definition of 'set' and examining a number of examples of functions. Along the way, we picked up some basic [...]