Sets, Functions and Relations: Organisational Questions

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Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Introduces sets in discrete mathematics and explores proof techniques like direct and indirect proofs.

Covers the definition of applications, image of elements, and direct and reciprocal images.

Covers the basic concepts of sets, functions, and number systems.

Covers the basics of tuples, lists, sets, linear types, conversions, dictionaries, and defaultdicts.

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

Explores solutions of differential equations and properties of functions.

Explores recursively defined sets, natural numbers, strings, functions, string concatenation, and well-formed formulae.

Covers applications between sets, functions, and graphs, exploring injectivity, surjectivity, and bijectivity.

Explores the properties of relations in computer science, including equivalence relations and the partition of a set.