# Browse Classroom Capsules and Notes

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The area of an ellipse is computed without calculus, using area of a circle.

Confidence intervals are obtained using quadratic approximation for probability.

A caveat: Income averaging can raise your tax.

This tongue-in-cheek article solves a variation of Fermat's last theorem.

The midpoint rule is better than the trapazoidal rule for concave functions. A proof without words.

Finding a real root between $a$ and $b$

Powers are found efficiently on a calculator with no power key.

Analogy of hyperbolic and trigonometric functions

Differentiating a power of $x$ when the power is rational.
If and only if characterizations of linear functions.