Maximum and Minimum Values: Theorems and Continuity

This lecture covers the theorems related to maximum and minimum values of a function on a closed interval, including the existence of global maximum and minimum points. The instructor explains the concept of continuity and how it relates to the theorems. The lecture also delves into the intermediate value theorem and the implications of a function being continuous on a closed interval. Various proofs are provided to illustrate the theorems and their applications in determining maximum and minimum values of functions.