From harelb Tue Apr 9 00:38:44 -0400 1996
To: gargova
Subject: Tripple Trouble
Here is what I have. Let me know what you think.
Harel
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Not numbering pages -(1/2)
Not including the hours (i.e. only the dates, who present, and what
accomplished) on Log -(1/2)
Part (a): everyone got 100%
Part (b): -(1/2) not fully justifying the algebra
Part (c) -(1/2) / -1 / -(1 and 1/2) for not showing enough
work, hard to follow etc, depending on degree
Part (d) -10 for ignoring "give an upper bound for the error
after 100 terms and after n terms" -5 for not ignoring
and doing a serious attempt, but not correctly
-(1/2) for not explaining why the convergence of a
series by the Radio Test implies that the "tail of
series" goes to zero.
Part (e) A picky -(1/2) for writing "y" where "y(t)" should
appear (if the right-hand side of an equal-sign is
labeled as a function of t, so should the left-hand
side -- actually I'm not sure I'd call the half point
off "picky"..
Part (f) -1 for the false statement (even though the rest was
correct) that "Spook claimed that our equation was
just k times his infinite series" -- for a 4-week, 3-4
person project, it is more than reasonable to expect
serious typos like this (even if one generously
assumes it's not a misconception) should have been caught.
Part (g) -(1/2) for writing "equals" rather than
"approximately" when a natural-log is replaced with a
(partial) decimal approximation.
-1 for not justifying a claim about derivatives (f'(t)
bigger than g'(t) or possibly different behavior for
values of k other than the one value which the group
plugged in for k to plot and explain the graphs.
Part (h) -(1/2) for typo ("smaller" where it should have said
"bigger" for "2*on(50)=7.824..." versus "t=9.2103...")
Plus 3/2 points for a very careful and nice analysis
of the y_scooter(t) and y_mccool(t) showing the derivative of
one is bigger than the derivative of the other when t is
greater than of equal to 7.824... but since the graphs are
equal when t=9.2103... this implies that the graphs are never
equal again since the rate of growth of one is greater than
the rate of greater of the other from the point of
intersection (even earlier, since t=7.824...)
Graphs No graph -- no points added or deleted. Nice graph:
plus 1/2 point; very nice graph: plus 1 point.
(Plus=extra credit, throughout)
One group did not save-to-disk their work very often so when a
computer problem came up Sun afternoon while they were writing up,
they couldn't finish by the 5pm deadline. Handed it in Mon in
class. Minus 3 points.
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Scores: 84.5, 91.5, 97
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