Extreme Values Theorem

Related lectures (31)

Covers the demonstration of the chain rule and the theorem of Rolle.

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

Covers the Mean Value Theorem in differential calculus, focusing on critical points and global extrema within intervals.

Covers Rolle's Theorem and the Mean Value Theorem with illustrative examples.

Explores divergence of vector fields, rotational definitions, and integral derivation applications.

Covers the definition and criteria for continuous functions and explores the intermediate value theorem.

Explores Rolle's Theorem for continuous and differentiable functions on closed intervals.

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

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

Covers induced homomorphisms on relative homology groups and their properties.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Page 2 of 2