Interval (mathematics)

Related lectures (31)

Page 3 of 4

Focuses on Theorem 2 for functions of class Cn and their Taylor expansion around a.

Covers limits, range of continuous functions, and uniform continuity on closed intervals.

Discusses the Extreme Values Theorem for continuous functions on closed intervals.

Explores the necessity of uniform continuity for continuous functions on compact sets.

Explains the definition and uniqueness of developments limites for continuous functions on open intervals.

Explains how a function reaches its maximum and minimum values.

Demonstrates the practical importance of the fundamental theorem of calculus through a detailed example.

Covers the surjectivity of the derivative application for continuous functions on closed intervals.

Covers the Intermediate Value Theorem, uniform continuity, Lipschitz functions, and the properties of continuous functions.

Explores continuous and derivable functions on closed intervals.