# Browse Classroom Capsules and Notes

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Displaying 1011 - 1020 of 1135

A new way to derive infinite series expressions for $$\ln 2$$ and $$\ln 3$$
The author illustrates how certain determinants can be used to motivate students.
This author discusses the efficiency of computing integrals on a calculator using Taylor series.
Techniques to calculate the determinant for certain matrices are discussed.

A proof without words approach to the geometric-arithmetic mean inequality

The author uses Minkowski sums to estimate the length of the perimeter of an ellipse.
The article demonstrates that four inequalities can be derived from each other.
The author calculates the area under an arc of a generalized polygonal cycloid.
The authors use a popular TV show to demonstrate probability theory.
Many calculations in number theory have different rules for different residue class mod an integer $$r$$. The author shows how to combine these cases using a single amalgamated formula.