Sets and Functions

Related lectures (28)

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

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

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

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

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

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

Covers examples of relation composition, Cartesian product, and injective functions.

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

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

Covers the basics of discrete mathematics, focusing on logic, structures, and algorithms for computer systems.