Well, Calc 3 is going well. We’re covering infinite series, MacLauren and Taylor series, just now, and just got into “special MacLaurin Series” like the series representations of sin, cos, arctan, ln, e to the x), etc. These are good to learn and recognize in case you see them in a problem where you’re trying to get a function back out of a series representation. One of the examples struck me because it turned out to be sin(6/x), from the sum from zero to infinity of ((-1) to the n * (x/6)^(2n+1))/(2n+1)!, so that means I’m going to have to know the special MacLauren series pretty well to handle permutations of them that might come up in problems (the exclamation mark at the end means ‘factorial’, a number that’s the product of all the numbers leading up to another number. So 6! = 6 times 5 times 4 times 3 times 2, 5!=5 times 4 times 3 times 2, etc. These turn out to be useful for defining sin, cos etc as polynomials with an infinite number of terms.
Ktistec's Life List
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2. lose weight
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How I did it: It had been a couple of weeks and it looked more daunting than usual, so I wrote out a list of steps, and followed them to the letter, and surprisingly, when I was done, my room was very clean. Read how I did it…
How I did it: Simply learning to maintain your awareness and correct your posture when it gets poor is enough, at least for me. Certain habits, such as sitting too far forward in chairs, are difficult to overcome but it is worth doing for the sake of your back. I don't think this is something I've actually "done" so much as increased my awareness of, since I'll always have to watch for it. Read how I did it…
How I did it: I found a copy and started reading it in my spare time. It would have been nicer to have read it a bit slower than I did but I have been impatient lately. A Clockwork Orange is certainly a good book to make you think about the nature of morality, maturity and decision-making as well as human nature, though there are better ones. The ending was a bit miserable but it was good overall. Read how I did it…
