Lectures related to Real Functions: Definitions and Examples

Covers the properties and operations of convex functions.

Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.

Explores real functions, composition, and limits, including algebraic operations and sequence characterization.

Covers the Continuity Theorem for functions dependent on a parameter, proving the continuity of a function g.

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

Covers the conditions for finding absolute extrema in multivariable functions.