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Classroom Capsules and Notes

Note. We now return to our every-other-week schedule for featured articles, shown at the bottom of this page.

Capsules By Courses. We are organizing the capsules into courses, when possible using the same topics as are used in Course Communities. So far we have organized capsules for the following courses:

You may select topics within each course.


Featured Items

The author presents a visual proof that the sum of the tangents of the angles in an acute triangle is equal to the product of the tangents.

Use the second derivative test to establish that the regression parameters give a minimum.

If \(M(t)\) is a matrix of differentiable functions, the chain rule applies to \(\exp(M)\) if \(M\) and \(M'\) commute.

If \(f\)  is differentiable at \(x\), an interesting relationship exists between the tangent and two secant lines.

Guy wires to support flag poles give pictorial representations that lead to combinatorial proofs.

The author describes how small truncation errors propagated dramatically on the Vancouver stock exchange.