The author shows that the system characterized by

\(x(t) = a_1 t^2 + b_1 t + c_1\)

\(y(t) = a_2 t^2 + b_2 t + c_2 \)

\(z(t) = a_3 t^2 + b_3 t + c_3\)

must lie in a...

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The author shows that the system characterized by

\(x(t) = a_1 t^2 + b_1 t + c_1\)

\(y(t) = a_2 t^2 + b_2 t + c_2 \)

\(z(t) = a_3 t^2 + b_3 t + c_3\)

must lie in a...

*Projectile motion on large and small scales in the context of problems from sports*

*The Method of Undetermined Coefficients is approached by using linear operators and making use of patterns associated with matrix multiplication. The authors discuss several pedagogical...*

*Relations between Romeo and Juliet presented as pairs of coupled differential equations*

*The author presents a visual proof of the closed form of a recursively defined sequence: \(a_2 = 3\) and \(a_n = 2 a_{n-1} + 1\)*

*This article describes and encryption algorithm that can be used to transmit information between two parties such that each person can verify the other person's information.*

*This article uses a generalization of a three-way gunfight to motivate the construction and solution to a first order linear system of difference equations. The method of undetermined...*

*The author presents a visual proof of the formula for the sum of the first n consecutive products: \(1 \times 2 + 2 \times 3 + 3 \times 4 +\ldots + n \times (n+1)\).*

*How can we define multiplication of ordered pairs of real numbers to make \(\Re^2\) into a ring, or field? In this article, the author derives conditions for certain types of rings and extends...*