Lectures related to Introduction to Functions

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.

Covers the definitions and notations related to functions.

Introduces sets and functions, covering union, intersection, complement, functions terminology, and set operations analogies.

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

Covers sets, functions, and relations, including functions' properties and binary relations.

Explores real functions, covering parity, periodicity, and polynomial functions.

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

Explores solutions of differential equations and properties of functions.

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.

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