Lectures related to Real Functions: Definitions and Properties

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

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

Covers the convergence and boundedness of sequences and the properties of increasing functions.

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

Explores linear transformations, matrices, surjective, injective, and bijective properties, symmetric transformations, and matrix equivalence.

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

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