Functions: Limits and Continuity

This lecture covers the origin of functions, limits, continuity, differentiability, Taylor expansions, binary phase diagrams, and the Lennard-Jones potential. It explores the concept of functions, injective and surjective functions, real algebra, and the extreme value theorem. The lecture also delves into the important notion of limits, divergence, right and left limits, and the L'Hôpital rule.