Solving Systems Of Linear Equations: All Integer Method

Solving systems of linear equations by elimination or substitution is a staple of even early college studies. A tabular method such as the All Integer Method is a more advanced method. I believe this method was developed at Indiana University Purdue University Indianapolis (IUPUI). It was there that I learned this method when I started teaching their Finite course.


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Posted by Cramer Grimes in Linear Algebra

Solving Chemical Equations Part 1: The Math

I’m fairly certain that solving chemical equations is a part of most if not all high school curriculums, so most people probably at least remember doing it if not exactly how they did it. About a year ago I had the opportunity to work with some local high school students and this very subject came up. It was only at this point that I recalled that the method that is taught to them is guess and check. That’s not very exciting. Let’s use some math and a little (I mean a LOT) of Python to make it more exciting.


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Posted by Cramer Grimes in Chemical Equation Solver, Project

Likelihood of repeated results when rolling three fair six-sided dice, four times

When starting a board game that uses dice, players often start by rolling to see who goes first. A problem arises when multiple players roll the same result, which can happen quite often when using a single six-sided die (d6). Players normally don’t halt the game when this happens. If the highest rolling player ties with someone else, a roll-off commences and life goes on. However, maybe a Math conscious group of players want to mitigate this happening. Should they use multiple d6, use a different sided dice (d4, d8, d12, d20 the other platonic solids), or a combination of these alternatives to a singular d6.

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Posted by Cramer Grimes in Probability