I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those ...

👉 Learn how to graph exponential functions involving horizontal shift. An exponential function is a function that increases ...

Commutative algebra and graph theory are two vibrant areas of mathematics that have grown increasingly interrelated. At this interface, algebraic methods are applied to study combinatorial structures, ...

Now that pandemic restrictions are easing up, people are getting together again. But it’s been a while, so if you and your friends need some help breaking the ice, here’s a mathematical party game you ...

All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c\) is a smooth curve with one turning point. The turning ...

In 1950 Edward Nelson, then a student at the University of Chicago, asked the kind of deceptively simple question that can give mathematicians fits for decades. Imagine, he said, a graph — a ...

Jacob Holm was flipping through proofs from an October 2019 research paper he and colleague Eva Rotenberg—an associate professor in the department of applied mathematics and computer science at the ...

A function is a way of describing what happens to an input variable, in order to get the output result. \(\text{Input} \rightarrow \text{FUNCTION} \rightarrow \text{Output}\) If we think of a simple ...