Real Functions: Definitions and Properties

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Mathematical Analysis: Functions and Composition

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

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.

Relations in Computer Science

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

Functions and Periodicity

Covers functions, including even and odd functions, periodicity, and function operations.

Real Functions: Definitions and Examples

Explores definitions and examples of real functions of a real variable.

Advanced Analysis II: Tangent Plan and Differentiability

Explores tangent planes and differentiability in advanced analysis, emphasizing the properties of tangent planes and the conditions for differentiability.

Real Functions: Graphs and Properties

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

Graphical Definition: Level Sets and Domains

Covers the graphical definition of functions, focusing on level sets and domains.