Interval Analysis: Properties and Examples

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Related lectures (31)

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The Intermediate Value Theorem

Explains the Intermediate Value Theorem for continuous functions on closed intervals.

Supremum Theorem

Explores the Supremum Theorem, its properties, proofs, and exercises.

Introduction to Real Numbers and Their Properties

Introduces real numbers, their properties, and their significance in analysis.

Properties of Real Numbers

Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.

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

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

Limits and Continuity: Analysis 1

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

Q as Subset of R

Explains the concept of Q as a subset of R and their properties.

Rolle's Theorem: Applications and Examples

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

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.

Holomorphic Functions: Taylor Series Expansion

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.