Introduction to Functions

Related lectures (30)

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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.

Explores operations on sets, Cartesian products, and functions' properties.

Covers the introduction and terminology of functions, including injections, surjections, and bijections.

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

Explains injections, surjections, and bijections in functions with illustrative examples.

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

Explains surjections and bijections in linear algebra, focusing on function properties and inverse identification.

Introduces sets, functions, and their properties, including injective and surjective functions, composition, and inverse functions.

Covers injectivity, surjectivity, and bijectivity in mathematical functions, explaining unique mappings and pre-image existence.

Explores the relationships between functions and sets, focusing on composite functions properties.