Precalculus, Calculus and Infinitesimals

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See my insights article for those interested in an unconventional approach to doing Precalculus at an accelerated pace and beginning Calculus.

It is different from the usual way that a precalculus is done text in that it covers in the US what is called Algebra 1, Geometry, Algebra 2, and Precalculus in one text. Instead of taking 4 years to cover the material, IMHO, an average student can do it in 2 years; a good student could do it in a year. The text has some 'issues' in that it uses things like 2^x without first defining 2^x, where x is a real number. There is only one way to fix this - with calculus. So when it reaches that point in the text, I introduce calculus and define it properly. This also includes an introduction to set theory and infinitesimals but at a level appropriate for the audience.

Thanks
Bill
 
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