Lectures related to Graphs: Injection and Surjection

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

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

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

Covers level curves and graphs of functions in two and three dimensions.

Explores continuity, fixed points, and bijective functions in graphs.

Covers functions of real numbers, graphing, and affine functions.

Covers the properties and operations of convex functions.

Covers inverse functions, function composition, partial functions, and graphs of functions.

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

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

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

Covers the definitions and notations related to functions.

Covers real functions' definitions, properties, periodicity, and reciprocity, including maximum, minimum, and composition of functions.

Explores automorphism groups in trees and graphs, focusing on ends and types of automorphisms.

Explores reciprocal trigonometric functions, hyperbolic functions, and area theorems.

Explores automorphism groups of trees and graphs, including actions on trees and group homomorphisms.

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

Covers the definition of sine and cosine functions, their graphs, and notable points.

Covers the definitions and basic properties of real functions, including domain, image set, notation, and graph.

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