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Related lectures (21)
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Properties of Real Numbers: Bounds, Density, Absolute Value
Covers the properties of real numbers, including bounds, density, and absolute value.
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.
Real Numbers: Definitions and Equivalence Classes
Covers the existence of real numbers and equivalence classes of Cauchy sequences.
Real Analysis: Functions and Limits
Covers the basics of real analysis, including functions, limits, and max/min functions.
Quiz on Chapters 1-3: Solutions to TF questions
Covers solutions to true/false questions on subsets, upper bounds, real numbers, and set properties.
Real Number Sequences: Introduction
Introduces real number sequences, limits, and their properties.
Real Numbers: Definitions and Bounds
Explains the definitions and properties of maximum, minimum, supremum, and infimum in real numbers.
Supremum
Covers the concept of supremum in real numbers and its properties as the least upper bound of a set.
Real Numbers: Properties and Bounds
Explores real numbers' properties, bounds, limits, and density in the number line.
Real Numbers: sqrt(2)
Explores real numbers, focusing on the square root of 2 and the implications of its irrationality.