Re: math programs

In article <1157531473.097043.305020@xxxxxxxxxxxxxxxxxxxxxxxxxxx>,
Gene Ward Smith <genewardsmith@xxxxxxxxx> wrote:

studylogic06@xxxxxxxxx wrote:
I'm developing an interest in studying mathematics, and I notice that a
lot of university math departments list their main areas in the
pure-math program as "algebra, analysis, and geometry/topology"...
where does calculus fit into this bunch?

Calculus is introductory real analysis, and is a basic course whose
subject matter must be mastered before moving on in any branch of
analysis.

This one I challenge. I do not believe that calculus
should even be taught before a rigorous real analysis
course, which would teach the concepts, but not the
computational devices.

Integration even belongs in high school, and the earliest
use of integration was with a discrete measure. The
restricted form of integration taught in calculus was
understood by the Greeks, who could not compute much.
Those coming out of calculus now can compute much, but
few understand anything.

--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@xxxxxxxxxxxxxxx Phone: (765)494-6054 FAX: (765)494-0558
.

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