# Browse Classroom Capsules and Notes

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Displaying 1081 - 1090 of 1214

Cramer's Rule gives an explicit formulation for the unique solution to a system of $$n$$ equations in $$n$$ unknowns when the coefficient matrix of the system is invertible.  The...

A simple and clever way to compute the entry in the pascal triangle using numbers in any row above the row to which the desired entry belongs.

The authors discuss the evaluation of certain improper integrals by first transforming them.

The Golden Mean is found in electric circuit theory.

The author provides a short proof of Cramer’s rule that avoids using the adjoint of a matrix.

The number of distinct bridge auctions is calculated.
A weighted arithmetic/geometric mean inequality is proved.

Elementary examples from college algebra illustrate the idea of involutions.

Elementary examples, specifically Pythagorean triangles, illustrate the idea of involutions.
A new way to derive infinite series expressions for $$\ln 2$$ and $$\ln 3$$