Lectures related to Applications between Sets: Functions and Graphs

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

Explains injective, surjective, and bijective functions using examples and graphs.

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

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

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

Explores real functions, their graphs, properties, and transformations, including symmetry and surjection.

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

Explores continuity, fixed points, and bijective functions in graphs.

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

Explains injectivity and surjectivity criteria in functions using graphical representations.

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

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

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

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

Provides an overview of analysis and algebra courses, focusing on real numbers, limits, functions, and exams.

Covers level curves and graphs of functions in two and three dimensions.

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

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 definitions and notations related to functions.