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Browse Classroom Capsules and Notes

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Displaying 1081 - 1090 of 1211

Applications of Transformations to Numerical Integration

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

An Unexpected Appearance of the Golden Ratio

The Golden Mean is found in electric circuit theory.

An Alternate Proof of Cramer's Rule

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

How Many Bridge Auctions?
The number of distinct bridge auctions is calculated.
A General Form of the Arithmetic-Geometric Mean Inequality via the Mean Value Theorem
A weighted arithmetic/geometric mean inequality is proved.
A Classroom Approach to Involutions

Elementary examples from college algebra illustrate the idea of involutions.

Involutions and Problems Involving Perimeter and Area
Elementary examples, specifically Pythagorean triangles, illustrate the idea of involutions.
More on the Series for \(\ln 2\)
A new way to derive infinite series expressions for \(\ln 2\) and \(\ln 3\)
Apropos Predetermined Determinants

The author illustrates how certain determinants can be used to motivate students. The determinants in question have terms in artithmetic progressions.

An Efficient Logarithm Algorithm for Calculators
This author discusses the efficiency of computing integrals on a calculator using Taylor series.

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