Handouts for Math 554 Fall 2025

* The symbol * means not handed out in class; however, you should read on the internet.

Writing Guidelines (WG)*

  1. Our Writing Guidelines  (details included)
  2. List of Our Writing Guideline  (the WG listed out)
  3. Sundstrom's Writing Guidelines  (from Sundstrom's Math 300 book, Appendix A)
  4. Hammack's Writing Guidelines  (from Hammack's Math 300 book)
  5. Symbolically Write Guidelines
  6. Math Induction (PMI) Writing Guidelines(Summary and Writing Guidelines)

Course Handouts

  1. 1.1. Set Operations: Unions, Intersection, Complement
  2. 1.1. Functions and Sets (injective, surjective, (inverse) image)
  3. 1.2. Induction * (Summary and Writing Guidelines. Covered in Math 300 so will not cover in Math 554.)
  4. 1.3. Countability: Finite and Infinite Sets (lecture notes)


Findable from URL: http://people.math.sc.edu/girardi/