Functions: Definitions and Notations

Related lectures (28)

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Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

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

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

Covers the graphical definition of functions, focusing on level sets and domains.

Introduces Cartesian product and induction for proofs using integers and sets.

Covers the analysis of functions, composition, and mathematical induction.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

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

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

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