Lectures related to Real Functions: Definitions and Properties

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

Composition of Applications in Mathematics

Explores the composition of applications in mathematics and the importance of understanding their properties.

Function Properties: Injective, Surjective, Bijective

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

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.

Mathematical Analysis: Functions and Composition

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

Sets and Functions

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

Linear Applications: Definitions and Properties

Explores the definition and properties of linear applications, focusing on injectivity, surjectivity, kernel, and image, with a specific emphasis on matrices.

Operations on Sets: Parts, Intersection, and Difference

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

Application Reciproque and Composition of Applications

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

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Bijective Functions

Introduces bijective functions, which are both injective and surjective, emphasizing one-to-one correspondence between domain and codomain.

Definitions and Notations

Covers the definitions and notations related to functions.

Functions: properties and convergence criteria

Explores convergence criteria, function properties, and unique element association.

Functions: Definitions and Notations

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

Linear Algebra: Bijections and Cardinality

Explores bijections in linear algebra and the concept of cardinality between sets.

Injectivity and Surjectivity

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

Limits of Functions: Definitions and Examples

Explains surjective, injective, and bijective functions, along with limits of functions.

Mathematics: Analysis and Algebra Overview

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

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Bijective Functions

Covers bijective functions, establishing one-to-one correspondences between sets and the importance of reducing domain and codomain for injectivity and surjectivity.