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This is a guide for anyone who is serious about Left 4 Dead 2, and wants to play the game on a competitive scale. If you do not have a B.A. in Mathematics or Computer Software Engineering, you will not get far. The only alternative to my highly scientific approach is blind practice, but as stated in the video, this method is simply inefficient.
Rather than playing the game blindly, one can simply study the code of the game, as well as its general mechanics (this step takes 2 hours at the most for a skilled programmer). Upon studying the code behind the game, one can easily manipulate it to suit their own personal preference, thus maximizing one's gaming potential. Manipulating console commands takes about 5 minutes after studying all the code.
As described in the video, another step in optimizing game performance is to create a graph of each individual campaign map and import it into your TI-89 graphing calculator. Make a rough estimate of the path to the safe house, and divide the entire map by about 10000 right triangles. Optimize the path by focusing on the right triangles close by, and use the Pythagorean theorem to determine each hypotenuse. Given the large amount of right triangles, one must use a Riemann sum of this formula. Integration also works.
An optional step described in the video revolves around the manipulation of the Taylor series (http://mathworld.wolfram.com/TaylorSeries.html). With the right derivations and approximations, one can determine the amount of time it would take for a particular survivor to reach point A to point B from any XY coordinate on the map (a 2-dimensional scale works well enough for this game, there is no need to include the Z-axis). This was used to determine just how long it would take for one of my teammates to come to my aid. Lastly, the rate of change with regards to your health decrease upon being downed can be easily approximated upon observation of game mechanics. Take an Epsilon-Delta limit with said rate of change, with the variable being the amount of health you are at in a given time frame.
This video serves as an addendum to my thesis entitled "Applied Mathematics vs. Competitive Video Gaming" submitted as an online, summer project for my upcoming class: Applied Calculus and Advanced Game Theory (course code: MAT 4561 Section 2) taught by Dr. Euler.