Operations on Sets: Parts, Intersection, and Difference

This lecture covers operations on sets, including defining the set of parts of a set, the intersection of sets, and the difference between sets. It also explores the Cartesian product of sets, emphasizing the importance of order in pairs and generalizing the Cartesian product for more than two sets. The lecture delves into functions, explaining the concepts of domain, codomain, image, pre-image, and sets of images. It discusses the relationship between functions being injective, surjective, or bijective, with examples illustrating these concepts.