dc.contributor.author | Mattuck, Arthur | en_US |
dc.coverage.temporal | Fall 2007 | en_US |
dc.date.issued | 2007-12 | |
dc.identifier | 18.100A-Fall2007 | |
dc.identifier | local: 18.100A | |
dc.identifier | local: IMSCP-MD5-21752ff48df1a83658d331a6a7151b3c | |
dc.identifier.uri | http://hdl.handle.net/1721.1/76713 | |
dc.description.abstract | Analysis I (18.100) in its various versions covers fundamentals of mathematical analysis: continuity, differentiability, some form of the Riemann integral, sequences and series of numbers and functions, uniform convergence with applications to interchange of limit operations, some point-set topology, including some work in Euclidean n-space. MIT students may choose to take one of three versions of 18.100: Option A (18.100A) chooses less abstract definitions and proofs, and gives applications where possible. Option B (18.100B) is more demanding and for students with more mathematical maturity; it places more emphasis from the beginning on point-set topology and n-space, whereas Option A is concerned primarily with analysis on the real line, saving for the last weeks work in 2-space (the plane) and its point-set topology. Option C (18.100C) is a 15-unit variant of Option B, with further instruction and practice in written and oral communication. | en_US |
dc.language | en-US | en_US |
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dc.subject | mathematical analysis | en_US |
dc.subject | convergence of sequences | en_US |
dc.subject | convergence of series | en_US |
dc.subject | continuity | en_US |
dc.subject | differentiability | en_US |
dc.subject | Riemann integral | en_US |
dc.subject | sequences and series of functions | en_US |
dc.subject | uniformity | en_US |
dc.subject | interchange of limit operations | en_US |
dc.subject | utility of abstract concepts | en_US |
dc.subject | construction of proofs | en_US |
dc.subject | point-set topology | en_US |
dc.subject | n-space | en_US |
dc.title | 18.100A Analysis I, Fall 2007 | en_US |
dc.title.alternative | Analysis I | en_US |