Maximum and Minimum Values: Theorems and Continuity

Related lectures (31)

Page 3 of 4

Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.

Covers hitting probabilities in Markov chains with disjoint subsets, the function h(i), theorems, proofs, and expected time to hit calculations.

Explores the lower bound on total variation distance in Markov chains and its implications on mixing time.

Covers the concepts of sequences, convergence, and boundedness in mathematics.

Covers the generalization of the TAF theorem, lateral derivatives, limits of derivatives, and indeterminacy.

Explores interior points, boundaries, adherence, and compact sets, including definitions and examples.

Explores modular arithmetic, emphasizing inverses and equations in Z/mZ, with practical examples and exercises.

Introduces Coq, covering defining propositions, proving theorems, and using tactics.

Covers the definition of the center of a function using finite differences and provides step-by-step proofs.

Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.