Lectures related to Equivalence Relations and Functions

Covers the definitions and notations related to functions.

Cartesian Products and Equivalence Relations

Introduces Cartesian products, equivalence relations, and functions, emphasizing the importance of order and discussing injective, surjective, and bijective functions.

Functions: properties and convergence criteria

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

Function Properties: Injective, Surjective, Bijective

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

Equivalence Classes and Relations

Covers equivalence classes, relations, quotient sets, and functions properties.

Mathematical Analysis: Functions and Composition

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

Operations on Sets: Parts, Intersection, and Difference

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

Real Functions: Definitions and Properties

Explores real functions, covering parity, periodicity, and polynomial functions.

Sets, Functions and Relations: Q&A

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

Sets and Functions

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

Functions: Basic Concepts

Covers the basic concepts of functions, including definitions, notations, and discussions on injectivity and surjectivity.

Applications between Sets: Functions and Graphs

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

Relations in Computer Science

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

Application Reciproque and Composition of Applications

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

Limits of Functions: Definitions and Examples

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

Functions: Injectivity and Surjectivity

Explains injective, surjective, and bijective functions with examples and graphical representations.

Real Numbers and Functions

Introduces Real Analysis I, covering real numbers, functions, limits, derivatives, and integrals.

Linear Algebra: Injections, Surjections, Bijections

Explores injections, surjections, and bijections in linear algebra, highlighting their significance in mathematics.

Injectivity and Surjectivity

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

Limits: Basic Properties and Examples

Covers the basic properties of limits and provides illustrative examples.