Linear programming
In high school, 1985, I used Wang PCs to explore programming, and one fruitful project was to program the computer to do my pre-calculus homework. Linear programming (LP) lends itself to solutions by computer, as long as the problem isn't a special case dependent on special skills. Recently, I was asked if I could tutor a student studying LP, so I looked for good tutorials both to refresh my skills and that might be useful for the student.
I came across one page that laid out the process of solving a LP problem more plainly than other tutorials: A course web site at U. Wisconsin-Whitewater: http://math.uww.edu/~mcfarlat/143.htm Reading it helps to understand exactly how row operations are applied to pivots to simplify and solve LP problems.