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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 article demonstrates that four inequalities can be derived from each other.

Infinite series representing several functions, and several series representing \(\pi\) are derived using tabular integration by parts.

Various examples of convergent Newton sequences which do not converge to a zero of the underlying function are given.

The author displays an example of a domain where factorization is not unique.

The Butterfly Theorem is generalized to include Sidney Kung`s Butterfly Theorem.

The author characterizes the positive integers that are the products of two pairs of factors such that the sum of one pair equals the difference of the other.