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dc.contributor.authorMelrose, Richard B.en_US
dc.coverage.temporalFall 2002en_US
dc.date.issued2002-12
dc.identifier18.100B-Fall2002
dc.identifierlocal: 18.100B
dc.identifierlocal: IMSCP-MD5-9908abcd0c08bccfaefff61dbbec8d1a
dc.identifier.urihttp://hdl.handle.net/1721.1/37329
dc.description.abstractTwo options offered, both covering fundamentals of mathematical analysis: convergence of sequences and series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations. Both options show the utility of abstract concepts and teach understanding and construction of proofs. <I>Option A</I> chooses less abstract definitions and proofs, and gives applications where possible. <I>Option B</I> is more demanding and for students with more mathematical maturity. Places greater emphasis on point-set topology.en_US
dc.languageen-USen_US
dc.rights.uriUsage Restrictions: This site (c) Massachusetts Institute of Technology 2003. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license"). The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions.en_US
dc.subjectmathematical analysisen_US
dc.subjectconvergence of sequencesen_US
dc.subjectconvergence of seriesen_US
dc.subjectcontinuityen_US
dc.subjectdifferentiabilityen_US
dc.subjectReimann integralen_US
dc.subjectuniformityen_US
dc.subjectinterchange of limit operationsen_US
dc.subjectutility of abstract conceptsen_US
dc.subjectconstruction of proofsen_US
dc.subjectpoint-set topologyen_US
dc.subjectn-spaceen_US
dc.subjectsequences of functionsen_US
dc.subjectseries of functionsen_US
dc.subjectapplicationsen_US
dc.subjectreal variableen_US
dc.subjectmetric spaceen_US
dc.subjectsetsen_US
dc.subjecttheoremsen_US
dc.subjectdifferentiateen_US
dc.subjectdifferentiableen_US
dc.subjectconvergeen_US
dc.subjectuniformen_US
dc.subject18.100Ben_US
dc.subject18.100en_US
dc.title18.100B Analysis I, Fall 2002en_US
dc.title.alternativeAnalysis Ien_US


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