Thursday, September 17, 2009

Day 5 -- 9/17

Introduced a|b, congruences. Proved \equiv is an equivalence relation. Discussed briefly the idea of equivalence classes and well-definition of + and *. [went poorly]

Discussed inverses mod m -- introduced the relevant Diophantine equation. Proved if b shares a non-trivial factor with m, then b is not a unit.

Did an example of the magic table (and then reverse substitution). [went great]

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