Lectures related to Counting Basics: Set Theory and Permutations

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Covers the standard properties of distance and norm in vector spaces.

Focuses on the pushout and pullback constructions in sets, illustrating colimits and limits with explicit examples.

Introduces sets, functions, Cartesian products, and compositions, discussing images, preimages, and function properties.

Covers set theory operations and functions, including injections and surjections.