18.100A Analysis I, Fall 2007
Name
18-100a-fall-2007/contents/index.htm
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27.68 KB
Format
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Checksum (MD5)
d79a6bc35b899791f0b9de8147ae4327
Author(s)
Mattuck, Arthur
Alternative Title
Analysis I
Date Issued
December 2007
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.
Subjects
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Terms of Use
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