Real Functions: Definitions and Properties

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Related lectures (28)

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Mapping Functions and Surjections

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.

Algebraic Identities and Trigonometry

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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