Overhaul & Revitalization of Calculus// Math-psychology-sociology

by Archimedes Plutonium

Preface: The purpose of this book is to move the dial on calculus education to where all of mathematics is easy, simple, clear, and understandable to even High School students. Where calculus is taught in early High School. All of this is possible when mistakes are corrected in Old Math. And when those mistakes are corrected, it is seen that calculus is just a tiny bit harder than learning the 4 operators of math-- add, subtract, multiply, divide.. The last two operators of math are derivative and integral and not much harder to learn than add, subtract, multiply, divide. Provided, Old Math mistakes are corrected and or thrown out. We throw out the Reals as numbers of math and replace them with Decimal Grid Numbers. We throw out all functions of math, except polynomial functions. Anything else that looks like a function, we have to convert to a polynomial, first, over a interval, and then we can work with it. When we do this, and a little more, we end up with a mathematics and a calculus that is ultra simple, ultra easy, ultra clear, and fun to work with. But because of the psychology of math professors and the social environment of math careers, we have this ugly mess of math and especially calculus as torture chambers, nightmares and nervous breakdowns. So horrid has math education become, that most students steer clear of mathematics. When in truth, once the errors of Old Math are fixed, that math is really the easiest of the physical sciences. It is the psychology and sociology that has made math the worst science and filled with error.

Cover Picture: My cover picture is my iphone photograph of my own handwriting of Decimal Grid Numbers, the numbers that replace the Reals of Old Math, plus the types of polynomials, sitting a-top a sheet of graphing paper. Those three dots after the numbers and polynomials means they continue and I have room to show only three kinds. Calculus is after all, a science of geometry for derivative is rate of change of dy to dx, and integral is after-all the area under the function graph.

AP