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Lecture
Absolute Value: Definition and Properties
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Related lectures (47)
Continuity Definition: Epsilon and Delta
MOOC: Analysis I
MOOC: Analysis I (part 4) : Limit of a function, continuous functions
Covers the definition of continuity at a point using epsilon and delta.
Analyse I: Summary
Covers real numbers, complex numbers, numerical sequences, series, real functions, function limits, derivatives, Taylor series, integrals, and growth rates of functions.
Limit of a Sequence
MOOC: Analysis I
MOOC: Analysis I (part 3) : Real number sequences I and II
Explains the concept of the limit of a sequence and its importance in convergence.
Real Analysis Basics
Covers the basics of real analysis, including limits, sequences, and continuous functions.
Scalar Product: Algebraic Properties
Explores the algebraic properties of the scalar product and their geometric implications.
Two Propositions
MOOC: Analysis I
MOOC: Analysis I (part 3) : Real number sequences I and II
Discusses two propositions about converging sequences of real numbers and explores their consequences.
Real Numbers Sequences
Explores real number sequences, convergence, limits, boundedness, and monotonicity.
Real Numbers: Sets and Operations
Covers the fundamental concepts related to real numbers, including sets, notations, and operations.
Complexity of Algorithms: Proofs of Time Complexity
Covers the analysis of worst time complexity for algorithms and time complexity with real numbers and integers.
Real Numbers: Sets and Operations
Explores the fundamental concepts of real numbers, including sets, operations, and properties like supremum and infimum.
Real Numbers: Sets and Operations
Covers the basics of real numbers and set theory, including subsets, intersections, unions, and set operations.
Inequalities on Real Numbers
Explores inequalities on real numbers, including real intervals and comparison properties.
Divergent Sequences
MOOC: Analysis I
MOOC: Analysis I (part 3) : Real number sequences I and II
Explains divergent sequences and limits at infinity with examples.
Total Order Relation: Properties of Real Numbers
Covers the concept of total order relation and properties of real numbers.
Powers: Whole Numbers
Covers the definition and properties of whole number powers, including examples and proofs.
Convergence and Limits
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Explores convergence and limits in sequences of real numbers, including uniqueness and boundedness.
Complex Numbers: Operations and Polar Form
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Explores complex numbers, operations, absolute value, and polar form, along with the analysis and graphic representation of complex numbers.
Open Sets and Interior Points
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Explores open sets and interior points in real numbers, with examples and criteria for identification.
Continuity: Limits, Sequences, and Algebraic Operations
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Explores limits, sequences, algebraic operations, and continuity in real numbers.
Real Numbers: Properties and Formulas
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Explores real numbers, including supremum, infimum, maximum, and minimum properties.
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