Counting things is hard! The following rules are shortcuts that allow us to count certain collections of things rapidly.… Read More
The final exam will be cumulative, covering material from the entire course, with a focus on revisiting secondary school mathematics from new perspectives, especially as a coherent system of related … Read More
Categorical vs quantitative variables
Quantitative variables are any variables where the data represent amounts.
Categorical variables are any variables where the data represent groups.… Read More
Probability is a measure that is associated with how certain we are of the outcomes of a particular experiment or activity. An experiment is a planned operation carried out under … Read More
… Read More
Before we can discuss volume, we have to know some basic facts about 3- dimensional space. The first order of business is to set up a coordinate system in 3-space.
… Read More
Very roughly, a geometric measurement (i.e. length, area, and volume) assigns a nonnegative number to a geometric figure that serves to indicate the “size” of the figure relative to a
Why do we care so much about triangles? Why don’t we have something like “trigonometric functions” for other shapes, like rectangles, pentagons, etc?
Furthermore, why does trigonometry focus on right … Read More
Circles arise naturally in geometry (they are an immediate consequence of the notion of distance), and we use them extensively in geometric constructions (after all, a compass is essentially a … Read More
Today we look again at Geometric Constructions, this time using more modern tools. Software can easily replicate the capabilities of the ruler and compass – but can also be used … Read More