math 521 (MATH521)
University Of North Carolina - Chapel Hill
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Axiom of Completeness and Consequences
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Introduce Axiom of Completeness, the bed rock of advanced calculus, where every nonempty bounded above subset of R has a lower upper bound (supremum), and every nonempty bounded below subset of R has a greatest lower bound (infimum). Introduce the consequences of the Axiom of Completeness, with the Nested Interval Property and the Archimedean Property.
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Axiom of Completeness and Consequences
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Introduce Axiom of Completeness, the bed rock of advanced calculus, where every nonempty bounded above subset of R has a lower upper bound (supremum), and every nonempty bounded below subset of R has a greatest lower bound (infimum). Introduce the consequences of the Axiom of Completeness, with the Nested Interval Property and the Archimedean Property.
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Introduction to Advanced Calculus 1 (The Real Numbers)
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Prove the irrationality of square root of two; Give some preliminary introduction to this course, including sets, functions, logics and proofs, induction.
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Introduction to Advanced Calculus 1 (The Real Numbers)
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Prove the irrationality of square root of two; Give some preliminary introduction to this course, including sets, functions, logics and proofs, induction.
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