Browse Classroom Capsules and Notes

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The Snowplow Problem Revisited

A simple way to solve the Snowplow Problem

Using Differential Equations to Describe Conic Sections

Using differential equations to show that the reflection property characterizes parabolas

A Remark on the Chain Rule for Exponential Matrix Functions

The natural generalization of the chain rule to exponential matrix functions may not hold

A Modified Discrete SIR Model

A slight change allows the Susceptibles, Infecteds, Recovereds model to take age into account.

Characterizing Power Functions by Volumes of Revolution

The authors characterize power functions by ratios of two specific volumes.

Who Cares if \(x^2+1=0\) Has a Solution?

Four motivating examples of applying complex numbers to real problems

Designing a Rose Cutter

Uses polar coordinates to design a cutter with specified "jaw geometry"

Just an Average Integral

The antiderivative of the cube of the secant function is the average (arithmetic mean) of the derivative and antiderivatives of the secant function. That is, what are the solutions of \(\int y...

The Birth of Period 3, Revisited

The article revisits the determination of the tangent bifurcation constant previously discussed in an article of this Magazine.

Period Three Trajectories of the Logistic Map

The article revisits the determination of the tangent bifurcation constant previously discussed in an article of this Magazine.