Extrema: Local and Global

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Related lectures (29)

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Extreme Values Theorem

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

Max Local Exercise

Covers finding unique local maxima and functions oscillating infinitely.

Lagrange Method: 2 Constraints

Explains the Lagrange method with 2 constraints and composite functions' derivatives.

Functions Composition: Continuity & Elements

Covers the composition of functions, continuity, and elementary functions, explaining the concept of continuity and the construction of elementary functions.

Bisection Method: Proposition and Demonstration

Covers the bisection method proposition and its demonstration for finding roots.

Continuous Functions on Compact Sets

Explores continuous functions on compact sets, discussing boundedness and extremum values.

Properties of Continuous Functions

Covers the properties of continuous functions and explores inverse and injective functions with examples.

Generalized Integrals: Type 2

Covers the integration of limit expansions and continuous functions by pieces.

Global and local extrema of functions

Explains global and local extrema of functions, including the possibility of functions having no maximum or minimum values.

Function Approximations

Covers continuous functions with compact support, density, and approximation, focusing on the heat equation.