MAT 131 1st class

Published on: Wed Jan 27 2010

Note*** I am having some math formatting issues... Any my images don't work. Today was the first day of part-time work part-time school. I enjoyed work today. I felt more productive than usual and it was a nice tempo change, to feel as though I was applying my new knowledge. I was able to solve a problem about automating the production of multi-manager datasheets, and it was a big timesaver. It will reduce the time it takes to create the datasheets from 1 sheet per day, to as many datasheets you need in one day. Right now it will save one person from spending eight days creating datasheets to instead spending one day using various Access Database and Excel Template tools. And we can add new multi-manager options since it will take less time to handle the overhead. Another very quick and very simple solution to a different problem (net returns) was suggesting to create an excel spreadsheet of manager performance for quick import into our various databases. We needed a way to show net returns all of a sudden and now instead of manually creating each manager, we can instead create a clone, apply a formula (Excel) and create an instant net returns database. Then I had to run off to the trains. I think I can take an alternate train from Hunters Point too, it is not optimal, but it would work if needed. (As long as I can make it across the campus in 5 minutes. Bike? Unicycle?) Math class At first I was worried. The professor started by drawing all of these circles with x’s and arrows’ all over the chalkboard. He has an unusual accent and handwriting. I think he might be from somewhere with an Arabic alphabet, I have never seen someone draw letters like this before. But back to the Math! So the board is covered in all of these circles with x’s and arrow’s between the various x’s. It turns out he was explaining one-to-one functions and function called either a onto or one-to-two. His point was we will be dealing with primarily onto functions which are reversible. Functions ▬ In Calculus it is important to include the range in a function Ways to Express Functions Currently, we know four ways to express functions ▬ Algebraically ▬ Describe verbally ▬ Graphically ▬ As a Table Review of Basic Functions ▬ f(x) = x +1 NOTE: Linear Function, straight graph ▬ f(x) = x2-1 NOTE: Polynomial Function, Smooth, curving graph ▬ f(x) = |x| NOTE: Continuous Graph ▬ Not smooth or Continuous – Has gap in Y axis, Has a Discontinuity ▬ Fractional function, function is undefined when denominator = 0 ▬ Has gap in X axis. Does not have a discontinuity, since break is along x axis ▬ Even function – Symmetrical about Y axis ▬ Odd function – Symmetrical around Origin ▬ New Math Symbols