Welcome back to... wait... nope, I was wrong, it seems like this is the FIRST [redacted] in this series, Applied Math! In this series I will be going through different uses of the "useless" and "meaningless" math that you are forced to sit through day after day all throughout school.

Today we will be going over the use of Algebra and Calculus when playing Dungeons and Dragons! This all started a few years back, when my friends and I made a group and started playing DND all the time. We each had our own campaigns, and we jumped between them because it was lots of fun. In my campaign (yes it was inspired by the cosmere) I homebrewed a skill point system. In essence, whenever a player killed something, they received a certain amount of skill points(SP, not to be confused with Silver Pieces(I won't be discussing silver Pieces here today)).

It was decided that the max CR would be worth around 50 SP, a CR of 0 would be worth around 0.05 SP, and that it would be mostly linear until around CR 20. I needed to create an equation that satisfied these requirements. I used my good ol pal Desmos to help me with this. In the end I ended up with the horrendous equation:

Well, I suppose that this is a slightly different version(it has a better shape) of the one I made, which was a combination of the equations:

and

The equation I made was:

which made a graph that looks like:

Players are able to, as they collect SP, unlock unique skills and purchase "cheats" such as editing how a spell works (of course all of this was up to the dungeonmaster, or DM). This was based on a few things, such as the system and skill points from Solo Leveling, unique skills from That Time I Got Reincarnated as a Slime, and the "cheats" was actually a request from one of the players. The useful thing about this graph is that the DM can use it still even if they homebrew monsters with CRs of higher than 30 to counter the skills that the players are now able to attain.

Goodbye All, and I hope you tune into the next installment of this series, Applied Math!

(now if you could be kind as to press play on the video below for the outro song)

Don't worry sillies, this isn't the end of the episode. Ill be adding more to it as time goes on so make sure you pay attention