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18.100A Analysis I, Fall 2007

Author(s)
Mattuck, Arthur
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Alternative title
Analysis I
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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.
Date issued
2007-12
URI
http://hdl.handle.net/1721.1/76713
Department
Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Other identifiers
18.100A-Fall2007
local: 18.100A
local: IMSCP-MD5-21752ff48df1a83658d331a6a7151b3c
Keywords
mathematical analysis, convergence of sequences, convergence of series, continuity, differentiability, Riemann integral, sequences and series of functions, uniformity, interchange of limit operations, utility of abstract concepts, construction of proofs, point-set topology, n-space

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