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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 authors investigate the occurrence of composite values of non-constant polynomials with integer coefficients evaluated at integer points.

The author describes a convenient method for calculating determinants where all entries on a given diagonal are equal and for some more general situations.

The author shows that two ostensibly different generalizations of the Fundamental Theorem of Algebra are equivalent.

When the sample space is too small, then Bernstein's examples on independent events fail.

A visual decomposition of a triangle is given.


The authors model a real traffic problem by using the fundamental theorem of calculus.