## Algebras, or When Can I Multiply Stuff in My Module?

### October 28, 2010

## Wordy Introduction, Motivation.

When you first start high school algebra, the big thing is FOIL-ing, right? Factoring and factorizing quadratics. When you get to calculus, the big things are derivatives and integrals. Then when you get to college and start doing math, things get a little tougher. We start learning about abstract structures, and these become increasingly specific and increasingly complex as we go along.