## Study Shows that Cephalopods Travel Faster in Air than in Water

A new study, using high-speed photography, shows that squids can save energy by flying rather than swimming. Some species of Cephalopoda can launch themselves into the air using the jet-propulsion system that they use to swim. Until now, researchers have thought that this sort of ‘flight’ was used by Cephalopoda to avoid predators, but the new study shows that the animals actually conserve energy when using this way to travel long distances.

## New Models Hone Picture of Climate Impact on Earth

While climate models can forecast temperature changes and precipitation, they struggle to indicate how climate change will affect the factors that make Earth habitable, such as the availability of water and food.

## Mathematics and LEGOs: The Deeper Meaning of Combined Systems and Networks

You’d expect LEGO kits to be somewhat immune from mathematics, but that’s not the case, as Samuel Arbesman of Wired’s Social Dimension demonstrated most recently. However to start out with, it’s necessary to think how humans combine things together, in general.

## Midterms

Function sin cos tan csc sec cot
sinθ = $\sin \theta\$ $\sqrt{1 - \cos^2\theta}$ $\frac{\tan\theta}{\sqrt{1 + \tan^2\theta}}$ $\frac{1}{\csc \theta}$ $\frac{\sqrt{\sec^2 \theta - 1}}{\sec \theta}$ $\frac{1}{\sqrt{1+\cot^2\theta}}$
cosθ = $\sqrt{1 - \sin^2\theta}$ $\cos \theta\$ $\frac{1}{\sqrt{1 + \tan^2 \theta}}$ $\frac{\sqrt{\csc^2\theta - 1}}{\csc \theta}$ $\frac{1}{\sec \theta}$ $\frac{\cot \theta}{\sqrt{1 + \cot^2 \theta}}$
tanθ = $\frac{\sin\theta}{\sqrt{1 - \sin^2\theta}}$ $\frac{\sqrt{1 - \cos^2\theta}}{\cos \theta}$ $\tan \theta\$ $\frac{1}{\sqrt{\csc^2\theta - 1}}$ $\sqrt{\sec^2\theta - 1}$ $\frac{1}{\cot \theta}$
cscθ = ${1 \over \sin \theta}$ ${1 \over \sqrt{1 - \cos^2 \theta}}$ ${\sqrt{1 + \tan^2\theta} \over \tan \theta}$ $\csc \theta\$ ${\sec \theta \over \sqrt{\sec^2\theta - 1}}$ $\sqrt{1 + \cot^2 \theta}$
secθ = ${1 \over \sqrt{1 - \sin^2\theta}}$ ${1 \over \cos \theta}$ $\sqrt{1 + \tan^2\theta}$ ${\csc\theta \over \sqrt{\csc^2\theta - 1}}$ $\sec\theta\$ ${\sqrt{1 + \cot^2\theta} \over \cot \theta}$
cotθ = ${\sqrt{1 - \sin^2\theta} \over \sin \theta}$ ${\cos \theta \over \sqrt{1 - \cos^2\theta}}$ ${1 \over \tan\theta}$ $\sqrt{\csc^2\theta - 1}$ ${1 \over \sqrt{\sec^2\theta - 1}}$ $\cot\theta\$

I’m busy studying for a midterm tomorrow morning. It’s a Teaching College Level Mathematics class. The teacher is interesting and younger than I am. He obtained his Masters a year or two ago. My program director suggested that I take this class to ease myself back into mathematics.

After the exam, I’ve got a numerical analysis laboratory. I start the midterm break afterwards. However, it’s going to be a busy time. Coming back from the break, I’ll have three more midterms within two weeks, three homework to give in (big ones involving a lot of coding).

I’m really enjoying the time here. I’ve really gotten into mathematics again. I’ve got a lot to do in numerical analysis and numerical linear algebra. Both classes involve coding in MATLAB.

My teaching hours are most probably going be at around 14 starting next week. That’s almost as much as I wanted. It’s been rough, but I managed to get by. Next semester, I want the least amount of distractions while I study.