Functions (Set Theory)
Channel: Andrew Misseldine
Date: 2022-11-03

In this video, we introduce the notion of functions using the set theoretic notion of a relation, including the related sets of domain, codomain, image, and pre-image. We consider some examples and nonexamples, and compare how notions of functions are presented before the usage of set theory. 

This is lecture 30 of the lecture series offered by Dr. Andrew Misseldine for the course Math 3120 - Transition to Advanced Mathematics at Southern Utah University. A transcript of this lecture can be found at Dr. Misseldine's website or through his Google Drive at:  https://drive.google.com/file/d/1fKSOAsZrm0OvGhyMI7HDWnio-lwe5_q_/view

This lecture is based upon Section 12.1 of Book of Proof (https://www.people.vcu.edu/~rhammack/BookOfProof/) by Richard Hammack, from the corresponding sections of A Transition to Advanced Mathematics (https://math.byu.edu/~doud/Transition/) by Darrin Doud and Pace P. Nielsen, and from Dr. Misseldine's own notes. Please post any questions you might have below in the comment field and Dr. Misseldine (or other commenters) can answer them for you. Please also subscribe for further updates.