I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips.

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When my students grow too dependent on their calculators, I ask them to find a number that, when multiplied by itself, gives them 2. Students quickly see that since 1² = 1 and 2² = 4, the answer has ...

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg, and Haudenosaunee peoples. Our main campus is situated on the ...

Abstract: A novel permutation rational function is proposed first, and the algebraic properties of permutation rational are discussed in detail. The application of this permutation rational function ...

This is an open-source C++ algorithm to compute Q-rational points on an elliptic curve defined over the field Q. To support the algorithm, a library of integers with arbitrary length and rational ...

The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg, and Haudenosaunee peoples. Our main campus is situated on the ...