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# Classroom Capsules and Notes

New The Mathematics of Planet Earth 2013 Collection is now available. These are articles published in the three journals of the MAA that are related to the Mathematics of Planet Earth 2013 theme.

Capsules By Courses. We are organizing the capsules into courses, when possible using the same topics as are used inSo far we have organized capsules for One-Variable Calculus, Multivariable Calculus, Ordinary Differential Equations, Number Theory, and Probability. The Number Theory collection of capsules does not correspond to a course in Course Communities, but has topics selected by the Editorial Board for Classroom Capsules and Notes.

Instructions

• Click on Browse Course Topics in the left-hand column of this page.
• Click on the course of interest. (Note that Sequences and Series is also part of One-Variable Calculus.)
• Click on the topic of interest and then on See Results. The capsules corresponding to that topic will be listed at the bottom of the page.

Featured Items:

## Sublimital Analysis

The author characterizes the set of possible limits of subsequences of a given sequence.

## Mutual Multiples in $$Z_n$$

If two elements in a ring are multiples of each other, are they necessarily unit multiples? In general, the answer is no; it is yes for the integers mod $$n$$.

## The Roots of a Quadratic

Checking roots of a quadratic equation

## Proof Without Words: Area of a Parabolic Segment

The area under the segment of a parabola is found via the volume of a pyramid.

## Suspension Bridge Profiles

The author describes the shape of an overhead cable suspended from a horizontal deck with non-uniform lineal mass.

## On a Common Mnemonic from Trigonometry

A picture is used to explain why a mnemonic for memorizing the sines of familiar angles works