**MATH 131A notes**

**subject to change any time!**

**Sections: **

- Propositional logic
- Set theory
- Relations and functions
- The naturals
- Arithmetic of the naturals
- Integers and rationals
- The need for the reals
- Supremum and infimum
- Ordered fields
- The reals via Dedekind cuts
- Limsup and liminf
- Limits of sequences
- Subsequences