To: rishel
CC: gargova, orlandi,milnikel,harelb
Subject: Syllabus for a modified 112...
--text follows this line-
Hi,

here's what we have so far...

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COURSE: Modified math 112.

TEXT: Tentatively, keeping James Stuart and supplementing it with
other texts, especially _Student Calculus Projects" by Cohen et al.

GRADING: We will try to learn from Cynthia how they had balanced e.g.
projects with HW, pass-fail exam/s, etc. I think Maria said she will
try to find this out from Cynthia.

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		  P r o j e c t s   S e l e c t e d
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(by Barzilai, Gargova, and Orlandi -- input from Milnikel to come)


*** AREA OF YOUR HAND (Areas, definition of integral)

*** Barzilai/Orlandi will try to look in _Excursions in Mathematics_,
Chapter 3, "What is Area?" for possible projects

*** Choice between STICKING THE TANK and HOUDINI'S ESCAPE (Volumes)

*** CONSTANTS [in] INTEGRATION BY PARTS (same)

 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

*** Selections From:


PI IN THE SKY (infinite series, geometric series, errors, integrals
	(and relation to series (and inequalities))

TRIPPLE TROUBLE (infinite, DEs)
	(Great story line based on Star Trek's "The Trouble with Tribbles")

THE DEFT FLY (infinite series, induction)

COCKROACH ON AN ELASTIC TIGHT-ROPE (infinite series, recurrence, induction)

and:

Problem posed by Professor (Marshall) Cohen a couple of semesters ago,
which goes roughly at follows:

A medical dose is given at intervals spaced T time units apart. The
body eliminates a fraction of the substance over time, so right after
the administration of the second dose, the amount in the body is D
plus Rd where r is the fraction left over from the first dose. The
students find an infinite series giving an upper bound for the amount
of substance in the body (at any time). A danger level X is given, and
the student calculate a lower bound for how large T must be, to be
sure that the amount present in the body is less than a half of X.

Involves: Differential Equations, Infinite Series, etc.

 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

*** We will try to create a project or two our of the book (whose name
I still don't know -- I showed you a photocopy after your Occasional
Seminar talk) talking about vectors in terms of flows of streams, in
terms of sailing, Why Can a Sailboat Sail Upwind, etc.

Involves: Vectors, projection, etc.

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I guess we need to turn this into a (draft for a) first-4(?)-weeks
syllabus... What else should we fill in before meeting with you and
either C Earle or K Brown?

Harel

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