# Browse Classroom Capsules and Notes

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This is a student research project on zero-divisor graphs of commutative rings, using results from recent professional publications.

Inspired by the Pascal triangle, three young "rascals" from three different countries devise a number triangle based on a diamond recurrence formula.

The authors provide a condition for a function to have nested $n$-th degree Taylor polynomials with varying centers, which can approximate the function visually.

The author proves visually the double angle formulas for sine and cosine.

How a Saari representation triangle determines the winner of a three-party election for several voting methods is illustrated.

The authors prove a necessary and sufficient condition for the existence of the limits of a class of multivariable rational functions commonly seen in textbooks.

The author uses the Lambert W function to express the equilibrium solutions of the SIR epidemic model.

Draw the secant line between any two points on the graph of a quadratic polynomial. The Mean Value Theorem tells us there is a point in that interval at which the derivative equals the slope of...
Draw the secant line between any two points on the graph of a quadratic polynomial. The Mean Value Theorem tells us there is a point in that interval at which the derivative equals the slope of...
Draw the secant line between any two points on the graph of a quadratic polynomial. The Mean Value Theorem tells us there is a point in that interval at which the derivative equals the slope of...