Reasonable Transcendental Functions (RTF)

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One of the argument usually advanced in favor of Precalculus, a concept we seem to owe solely to the acumen of American Educologists since nowhere else in the world is Precalculus to be found, is that we need to introduce the elementary functions before students can investigate them. I have discussed this idea at some length in my column in the AMATYC Review (Spring 1999) and many of the ideas there are at the basis of RTF. The table of contents is:
For the mathematical treatment, see Differential Calculus of Equationally Defined Functions by way of Polynomial Expansions.


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