Riemann Sums

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#1984

From: MARA
Date: Tue, 11 Jan 1994 00:22

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One of the big assets of the TI-82 is the sequence mode.
Last week my students in calculus "discovered" the fundamental theorem
by doing Riemann Sums.

Let U(n) = F(A+(n(B-A)/100))   where F can be any function.  (Try sine)
and V(n)=V(n-1)+U(n-1)(B-A)/100

Now enter left and right limits for A and B and let U(n)Start = 0,
VnStart=0, nStart=0 nMin=1, nMax=100, Xmin=0,Xmax=100 and set
Ymin and Ymax appropritate for your function.  Notice that the derivative
of the function suggested by V would be the function suggested by U.

By the way, for the TI users in Colorado.  On March 5th I'll be doing a
2 hour workshop on mathematical modeling using the sequence mode.
The workshop is part of the CCTM conference in Alamosa.
Hope to see you there.

Pat Mara
mara@starburst.uscolo.edu

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From: <MARA@starburst.uscolo.edu>
Subject: Riemann Sums
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