Candid Student Reports The following (emails) were written by members of the TIP Tapper program during the first day of the second week. Some elements may have been removed for various reasons, but the text that remains is in the student's own words.
Today we went over "essential" math really, really fast (we were able to right it down), then given a series of problems to solve. This is roughly esquivalent to giving someone a pointy stick and dropping him in the middle of Central Park at mid- night on a Saturday, but we managed to survive. Barely. Tomorrow looks like it'd going to focus on matrix math. Happy happy joy joy!
Bob1 explained to us about how many digits Excel can handle and to how many digits the computer thought equaled 0. Today was devoted to math. It was very interesting, and a bit difficult when doing 'The Look and Feel of Zero.' Learning Newton's Method and the other algorithm was pretty interesting.
Today was different from the past week in that we learned more math than science. Bob1 talked to us in the morning about the kind of approximations computers make in calculations and about rounding errors, which was new to me. I never realized before how much computers rounded off. In the afternoon, Bob2 told us about Newton's method and how to fit data using linear lease squares. I liked learning about the mathematical method, and am looking forward to learning about Cramer's method tomorrow.
I hate fitting data. I've hated it for the past 2 years. Oh well, there's nothin for it. I have never used a spreadsheet before and today was really helpful. Weekends are definatly a drain on energy because i'm really tired. Getting aprehensive about the final project, but i'm not usually one to get nervous. I would love to learn details but I have realized Bob2 isn't keen on spending time with them... oh well. Guess I'll learn what I can.
this morning and most of the afternoon was lecture. we learned that the computer is not always accurate. We did some pretty neat experiments with what the computer considers zero and the rounding errors. This is important i guess, but it seemed kind of long for just that. It was interesting to use the matrices for plotting a line. We hadn't ever taken that approach before, and it was fun to learn it.
Today was spent mainly learning about computer error in various calculations, derivatives, matrices and the least squares method. In the morning I struggled to stay awake, partly because I didn't fall asleep until 2:30 last night and partly because the lecture (by Bob 1) wasn't very interesting. This afternoon, we actually got to do some stuff with Excel, which was more interesting.
Today was kind of a sleepy day because there wasn't a whole lot to do. The only thing we actually did today was a couple of little bitty things on Excel. Also, running out of juice boxes didn't help much. The lectures were pretty boring, but I guess it was all stuff that we'll need to know someday. The frisbee went out in Broad Street a lot, but other than that and the lack of juice boxes, there wasn't much to remember about today. We need more Stella and more juice boxes!!!
Today Bob1 taught us about the limitations of computers. We found out that computers, because they use binary, have trouble dealing with numbers that are very far apart in value. We also found out how to use bisection to find an unknown number. After lunch, we learned to use Newton's rule to solve a fourth degree equation. Finally, we leaned how to fit a line to data pints with the Linear Least Squares method. That's a lot in one day!
We started the day with Bob 1 teaching us about numbers on computers. Some of it was confusing, but I think I got the overall concepts. Later in the day Bob 2 taught us more about spreadsheet, and gave us some problems to figure out. Today was a very heavy thinking day.
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