A Formula of Euler and Appreciating Calculus

4/8/99

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Table of Contents

A Formula of Euler and Appreciating Calculus

Vanishing Clue?

The Initial Computation

The Other Way to IN

Then comes the realisation…..

The connection in place …...

Getting acquainted with JN

Ah... the limit we go to …...

Getting to know KN……..

Good old Fermat……..

Going to the peak …….

Locating the critical point

The peak and a new function

“The hills are not insurmountable.”

Going back to (E)

Another look at tN ……….

Beginning to see the hill……..

The inverse of f

Diminishing tN ……...

In praise of continuity……..

A little goes a long way…….

Returning to KN ……….

Still on KN ……….

Vanish we will, eventually…...

Still vanishing……….

Being precise is close to the truth

Returning to KN …….

At long last……….

Fundamental Theorem of Calculus

The Mean Value Theorem

Intermediate Value Theorem

Author: NG TZE BENG

Email: matngtb@nus.edu.sg

Home Page: MA1102

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