Handouts
Math 554
Spring 2026

1. §1.1. Set Operations: Unions, Intersection, Complement
2. §1.1. Functions and Sets   (injective, surjective, (inverse) image)
3. §1.3. Equivalence Relation   (lecture notes)
4. §1.3. Countability: Finite and Infinite Sets   (lecture notes)
5. §2.1-2.3. A Rigorous Axiomatic Approach to the Real Numbers   (soln to min/inf/max/sup chart)
6. 3.0. Neighborhoods & Limits  (Limit Recipe)
7. 3.2. Sequences Limit Theorems
8. 3.6. Color coded Sequences Limit proofs^*   (bcs better in color, not distributed in class)

* The symbol * means not handed out in class; however, you should read on the internet.
• If you cannot find a particular handout here and it is not on Blackboard, then just shot me an email.