18.100B Analysis I, Fall 2002
Name
18-100BFall-2002/OcwWeb/Mathematics/18-100BAnalysis-IFall2002/CourseHome/index.htm
Size
13.62 KB
Format
HTML
Checksum (MD5)
abdc7adb13c8e2ff95c729934f5cdf8a
Author(s)
Melrose, Richard B.
Alternative Title
Analysis I
Date Issued
December 2002
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. Option A chooses less abstract definitions and proofs, and gives applications where possible. Option B is more demanding and for students with more mathematical maturity. Places greater emphasis on point-set topology.
Subjects
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
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Persistent DSpace Link
