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Dec 30, 2024
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MA 455 - Advanced Calculus ICredits: 3
Prerequisite: MA 284 and MA 301
A rigorous treatment of the concepts from calculus: ordering the real numbers, sequence limits, completeness of the real numbers, continuity and its consequences, uniform continuity, the derivative, chain rule, Cauchy’s law of the mean, Taylor’s formula with remainder, L’Hopital’s rule, Riemann integrals, integrability of continuous functions, products of integrable functions, improper integrals.
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