This talk will explore a discrete version of calculus which
applies to sequences: integrals are replaced by sums and
derivatives are replaced by
a discrete difference operator.
In this setting, summation formulas such as
12 + 22 + … + n2 =
n(n+1)(2n+1)/6
can be derived naturally using a discrete analogue of
the fundamental theorem of calculus, in much the same
way that integrals are computed.
We will also meet a discrete
analogue of integration by parts.
NOTE: We are in a new room this semester!
http://www.math.uconn.edu/mathclub
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