First order of business today was Algebra. I learned about solving quadratic systems. So, basically, if the graphs of a system of equations are a conic section and a line, the system may have zero, one, or two solutions. On the other hand, if the graphs of the system are two conic sections, the system, may have zero, one, two, three, or four solutions.

Next up, Sociology. I learned about groups within society. For example, Primary and Secondary groups. Primary groups are groups that are close to us, and provide intimate, face-to-face interaction. For example, your family is a primary group.

On the other hand are secondary groups. Secondary groups are larger and more anonymous, and tend to be more formal. They’re based on shared interests or activities, and people interact based on different statuses. For example, a company where you work is a secondary group.

They also interact. You could make friends at a workplace, or at school. You get a primary group out of a secondary group. On the flip side, you might join a group because you have friends or family in that group, your primary group helping you become part of a secondary group.

Finally, Programming. I learned about integer programming, in which every variable is an integer. This might seem pretty minor, but it’s major in a lot of ways. For example, designing a system for tracking how many units of a certain type are produced. You can’t make a tenth of a toaster and sell that, which is why you need to use integer programming.

On the other hand, you might need a simple decision making program with “no” or “yes” as solutions. You could represent those with 0 or 1, while 1.7 would make absolutely no sense.