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Browse Classroom Capsules and Notes

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Displaying 111 - 120 of 225

A Simple Introduction to \(e\)
Look for a number \(e\) between \(2\) and \(3\) for which the area under \(y=1/x\) from \(1\) to \(e\) is \(1\).
A Hairy Parabola
Methods for maximizing a continuous function go awry when a discrete component is involved.
An Improved Remainder Estimate for Use with the Integral Test
If a series is shown convergent by the integral test, get a sharper than usual estimate for the error.
A Modified Discrete SIR Model
A slight change allows the Susceptibles, Infecteds, Recovereds model to take age into account.
Maximal Revenue with Minimal Calculus
A non-calculus solution to maximizing area of a rectangle inscribed in a right triangle.
A Calculation of \(\int_{0}^{\infty} e^{-{x^2}} dx\)
The familiar integral of statistics is calculated using shells and disks.
Characterizing Power Functions by Volumes of Revolution
The authors characterize power functions by ratios of two specific volumes.
The Buckled Rail: Three Formulations

Computing heights of three shapes of buckled rail

Minimal Pyramids

The dimensions of the pyramids (with base a regular \(n\)-gon) of minimum volume containing a given sphere

Taylor Polynomials for Rational Functions
An effective long division method for finding Taylor polynomials of rational functions

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