Lectures related to Functions: Definitions and Notations

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

Linear Algebra: Applications and Definitions

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

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

Graphical Definition: Level Sets and Domains

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

Cartesian Product and Induction

Introduces Cartesian product and induction for proofs using integers and sets.

Mathematical Analysis: Functions and Composition

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

Sets and Operations: Introduction to Mathematics

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Relations in Computer Science

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

Applications between Sets: Functions and Graphs

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

Sets and Proofs

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

Proofs and Logic: Introduction

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Real Functions: Graphs and Properties

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

Composition of Applications in Mathematics

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

Operations on Sets: Parts, Intersection, and Difference

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

Introduction to Functions

Covers the basics of functions, including domain, codomain, image, and range, as well as injections, surjections, and bijections.

Differential Equations: Solutions and Functions

Explores solutions of differential equations and properties of functions.

Sets, Functions and Relations: Q&A

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

Sets and Functions

Introduces sets, functions, and proofs in mathematics, covering set equality, subsets, Cartesian products, and truth sets of predicates.

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.

Application Reciproque and Composition of Applications

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