Functions: Limits, Continuity, Differentiability

This lecture covers the origin and development of functions, including the concept of injective and surjective functions. It explores the relationship between sequences and functions, emphasizing the importance of domains in defining functions. The lecture delves into the concept of continuity, differentiability, and the essential results on sequences. It also discusses the physical representation of chemical bonds using the Lennard-Jones potential and the gradient vector. The presentation concludes with a detailed explanation of common functions, exponential functions, and the rules for differentiation.