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CATEGORIES:Lecture
DESCRIPTION:The Intermediate Value Property and Discontinuity - \nIt’s ofte
n stated in mathematics classrooms that the graph of a continuous function
can be drawn without the chalk ever leaving the chalkboard. This descriptio
n also seems to characterize the graph of a function that satisfy the inter
mediate value property. You may recall that a function \(f\) has the interm
ediate value property (IVP) if for \(a < b\)\, all real numbers between \(f
(a)\) and \(f(b)\) are attained by \(f\) on the interval \([a\, b]\). We kn
ow from calculus that any continuous function has the IVP\, but surprisingl
y these two concepts are far from equivalent. In this talk we’ll discuss fu
nctions that have the IVP\, concentrating on the discontinuous ones. We’ll
also provide lots of examples. Since this talk concerns functions and deriv
atives\, students who are new to math program are particularly encouraged t
o attend!
DTEND:20221007T003000Z
DTSTAMP:20230205T073123Z
DTSTART:20221006T234000Z
LOCATION:Eliot 314
SEQUENCE:0
SUMMARY:Math & Statistics Colloquium: David Meyer\, Reed College
UID:tag:localist.com\,2008:EventInstance_40972778129366
URL:https://events.reed.edu/event/math_statistics_colloquium_david_meyer_re
ed_college
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