Minimum and Maximum

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Related lectures (47)

Extreme Values Theorem Log in to Mediaspace to watch this video

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

Interval Analysis: Properties and Examples Log in to Mediaspace to watch this video

Explores infimum, supremum, and absolute value concepts with examples and proofs.

Properties of Continuous Functions Log in to Mediaspace to watch this video

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

Real Numbers: Order and Completeness Log in to Mediaspace to watch this video

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

Math-101(en) / Min/Max, Inf/Sup Log in to Mediaspace to watch this video

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

Limits and Continuity Log in to Mediaspace to watch this video

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

Derivability on an Interval: Rolle's Theorem Log in to Mediaspace to watch this video

Covers derivability on an interval, including Rolle's Theorem and practical applications in function analysis.

Intermediate Value Theorem Log in to Mediaspace to watch this video

Explores the Intermediate Value Theorem, continuous functions, and the verification of their continuity in various examples.

Quiz on Chapters 1-3: Solutions to TF questions Log in to Mediaspace to watch this video

Covers solutions to true/false questions on subsets, upper bounds, real numbers, and set properties.

Properties of Supremum and Infimum Log in to Mediaspace to watch this video

Covers the properties of supremum and infimum in sets, including uniqueness and symmetry.

Generalized Integrals: Type 2 Log in to Mediaspace to watch this video

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

Preliminaries in Measure Theory Log in to Mediaspace to watch this video

Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.

Advanced Analysis II: Integrals on Continuous Functions Log in to Mediaspace to watch this video

Explores integrals on continuous functions and their properties, including uniform continuity.

Definite Integral: Riemann Sum Log in to Mediaspace to watch this video

Introduces Riemann sums as approximations of the area under a function's graph.

Differentiability: Continuous Strictly Monotone Functions Log in to Mediaspace to watch this video

Explores continuous strictly monotone functions, differentiability, and linear function approximation.

Functions Extension and Taylor Expansion Log in to Mediaspace to watch this video

Covers functions extension and Taylor expansion, exploring mathematical concepts in depth.

Bisection Method: Zero Finding Log in to Mediaspace to watch this video

Covers the bisection method for finding zeros of continuous functions.

Multiple Integrals: Defining Integrals of Functions in R^2 Log in to Mediaspace to watch this video

Covers the definition of double integrals for functions of two variables over a domain in the plane R^2.

Fourier Series: Properties and Examples Log in to Mediaspace to watch this video

Explores Fourier series properties and examples, showcasing their application to continuous and discontinuous functions.

Induced Homomorphisms on Relative Homology Groups Log in to Mediaspace to watch this video

Covers induced homomorphisms on relative homology groups and their properties.

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