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Lecture
Minimum and Maximum
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Related lectures (32)
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Global Properties of Continuous Functions
Explores the global properties of continuous functions, including behavior, limits, and interval characteristics.
Rolle's Theorem: Applications and Examples
Explores the practical applications of Rolle's Theorem in finding points where the derivative is zero.
Properties of Continuous Functions
Covers the properties of continuous functions and explores inverse and injective functions with examples.
Properties of Real Numbers
Explains the properties of subsets of real numbers, including Supremum, Infimum, intervals, open sets, and closed sets.
Limits and Continuity: Analysis 1
Explores limits, continuity, and uniform continuity in functions, including properties at specific points and closed intervals.
Derivability and Maximum Values
Covers the theorem of intermediate values and finding maximum and minimum values of functions on closed intervals.
The Intermediate Value Theorem
Explains the Intermediate Value Theorem for continuous functions on closed intervals.
Extreme Values Theorem
Discusses the Extreme Values Theorem for continuous functions on closed intervals.
Infimum and Supremum of Subsets
Covers the concepts of infimum and supremum of subsets in real numbers.
Interval Analysis: Properties and Examples
Explores infimum, supremum, and absolute value concepts with examples and proofs.