We know how to find the square root of a real number, but what about the square root of a complex number or an imaginary number? As it turns out, we can do it, but there is a little more to...

Expected value is a useful tool for analysis in business and in game theory.  However, it is often presented in the context of dice rolling, where probabilities are uniform and calculations are...

Functions are used throughout mathematics and have applications in many disciplines.  However, we are often interested in finding the extreme values, such as function maximums. So, what do...

Area and circumference of a circle both involve the constant π and the radius of the circle, but their units vary. So, how are the circumference and area of a circle related?  The...

Box plots are used often in statistics to give a visual summary of a data set.  However, this still raises the question of what exactly they reveal, and what we can calculate from what we are...

Exponential functions are found often in mathematics and in nature.  However, this still raises the question of what these functions are and what they look like. An exponential function is...