Lecture

Functions: Injections and Surjections

Related lectures (30)

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

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

Covers the basics of functions, including domain, codomain, image, and range, as well as injections, surjections, and bijections.

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

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

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

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 organizational aspects, introduces Kahut for quizzes, presents complex examples, and summarizes the main topics.

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.

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

Covers linear algebra concepts with a focus on functions and their properties.

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

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

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

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