Er, this is probably too late for most of the students revising for exams. Sorry, I forgot that happens this time of year. I *used* to be a good teacher, I swear!

If it isn’t too late, I hope these short posts make useful **study aids**:

**How to multiply matrices.****Determinant**of a matrix … what is it?- Eigenvectors.
- What the heck
*are***sine and cosine**, anyway? - How I finally came to understand the Pythagorean Theorem.
- The LaPlace Transform. (ODE class)
- Matrices (as transformations).
- How do you do
**integration by parts**? (calc class) - How can you tell whether a
**series converges**? (calc 2) [a series = the sum of an entire sequence] - Manifolds.
- A 1-D ODE / vector field as drawn by Robert Ghrist.
- Vector calc: Gauß’ divergence theorem.
- Positive semidefinite. (Hessians ‘n’at.)
- Jacobians

And a couple others for the kids who have finished their exams and are now letting the cram-packed study matter seep from their brains:

- The main takeaway from calculus.
**The chief triumph of the differential calculus.**- What’s the similarity between a quark and a Rubik’s cube?
- I only dated vegetarians until I learned regression analysis.
- Dungeons & Dragons and the Central Limit Theorem. (also known as the nerdiest thing ever which anyone will ever write, and I challenge you to top that)
**Does √−1 exist?**