18.100B Analysis I, Fall 2002

Melrose, Richard B.

Author(s)

Melrose, Richard B.

Download18-100BFall-2002/OcwWeb/Mathematics/18-100BAnalysis-IFall2002/CourseHome/index.htm (13.61Kb)

Alternative title

Analysis I

Terms of use

Usage 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.

Metadata

Show full item record

Abstract

Two 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.

Date issued

2002-12

URI

http://hdl.handle.net/1721.1/37329

Department

Massachusetts Institute of Technology. Department of Mathematics

Other identifiers

18.100B-Fall2002

local: 18.100B

local: IMSCP-MD5-9908abcd0c08bccfaefff61dbbec8d1a

Keywords

mathematical analysis, convergence of sequences, convergence of series, continuity, differentiability, Reimann integral, uniformity, interchange of limit operations, utility of abstract concepts, construction of proofs, point-set topology, n-space, sequences of functions, series of functions, applications, real variable, metric space, sets, theorems, differentiate, differentiable, converge, uniform, 18.100B, 18.100

Collections

MIT OCW Archived Courses