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ECON508-A
Multivariate Calculus Review
Juan Ignacio Vizcaino
WashingtonUniversity in St. Louis
July 29 - August 16 2019
Thematerial here is based on the slides on Multivariate Calculus
prepared by Carmen Aston-Figari.
All errors are mine.
Section1: Introduction
Introduction
In studying the behavior of non-linear functions f : RN → RM in
ˆ
the vicinity of x,
ˆ
Weusederivatives to form the linear aproximation Df(x)
Weuselineartheorytostudythebehaviorofthelinear
ˆ N M
mappingDf(x) : R → R
Weusecalculustheorytotranslate information about the
ˆ
non-linear function f in a neighborhood of x.
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