Minimum and Maximum

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Related lectures (32)

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Properties of Continuous Functions

Explores the continuity of elementary functions and the properties of continuous functions on closed intervals.

Differential Calculus: Theorem of Finite Increments

Explains how a function reaches its maximum and minimum values.

Surjectivity of Derivative Application

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

Math-101(en) / Min/Max, Inf/Sup

Covers minimum, maximum, infimum, and supremum concepts in real numbers with examples and proofs.

Integration by Change of Variables

Covers integration by change of variables and the derivation in chain rule.

Real Numbers: Order and Completeness

Covers the properties of real numbers, focusing on the total order and completeness, including the Archimedean property and the concepts of supremum and infimum.

Fundamental Theorem of Calculus Example

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

Functions: Continuity and Derivability

Explores continuous and derivable functions on closed intervals.

Limits and Continuity

Explores limits, continuity, and elementary functions' properties, emphasizing the importance of understanding continuous functions.

Bisection Method: Proposition and Demonstration

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