Understand Ratios with “Oomph” and “Often”

Ratios summarize a scenario with a number, such as “income per day”. Unfortunately, this hides the explanation for how the result came about.

For example, look at two businesses:

  • Annie’s Art Gallery sells a single, $1000 piece every day
  • Frank’s Fish Emporium sells 250 trout at $4/each every day

By the numbers, they’re identical $1000/day operations, right?

An Intuitive Guide to Linear Algebra

Despite two linear algebra classes, my knowledge consisted of “Matrices, determinants, eigen something something”.

Why? Well, let’s try this course format:

  • Name the course “Linear Algebra” but focus on things called matrices and vectors
  • Label items with similar-looking letters (i/j), and even better, similar-looking-and-sounding ones (m/n)
  • Teach concepts like Row/Column order with mnemonics instead of explaining the reasoning
  • Favor abstract examples (2d vectors!