Week #7
We lost last Monday to the legendary Columbus, and I am hopeful that many of you took a closer look at the holiday link in Week #6's post. The story I was told in school was a lot different, but I guess, like most stories told, they're slanted towards benevolence. As my mother once said (I'm sure your's did too): "If you can't say something nice, don't say anything at all."
Here's a short list of quotes to ponder:
"Never attribute to malice that which is adequately explained by stupidity." -- Hanlon
"Misunderstandings and neglect occasion more mischief in the world than even malice and wickedness. At all events, the two latter are of less frequent occurrence." -- Goethe
"You have attributed conditions to villainy that simply result from stupidity" -- Heinlein
Well, I'd also like to believe that the disagreement between Briton and Germany (Newton vs. Leibniz) is an example of national stupidity and not individual malice. Anyway, the madness finally ended, and we're now able to take derivatives of many functions without having to worry about national pride.
Next week we'll move forward, specifically the Chain Rule and Implicit Differentiation. I'd like to think that all this work in finding derivatives will have a payoff, and for me I will use the derivatives as currency to buy information. Like any currency, I need to spend it quickly, for tomorrow it's value may be lost. So yes, we need to find derivatives and then use them quickly, otherwise we may acquire a lot of wealth, but know little of its value.
7 Comments:
Mentioned, but not emphasized today was the Brookhaven National Laboratory mini-semester (January 10 - January 14, 2005) opportunity. Please take a look at both links if you're at all interested.
By
Ron Bannon, at 4:26 PM
A new extra credit has been posted --- see side bar.
By
Ron Bannon, at 8:26 PM
This week's extra credit is worth ten points and will be added to your exam number one score. There is no partial credit. This is due Friday, October 22, 2004 before class starts --- late work will not be accepted.
We'll talk more about the upcoming exam, but I think October 29th is the scheduled day. Give me feedback -- in class or on the blog -- if this date doesn't fit your schedules.
By
Ron Bannon, at 5:21 PM
Hint! You'll need to solve a system of linear equations with four equations and four unknowns. The technique for solving a system of linear equations was introduced in MTH 100 and then further developed in MTH 119.
Again, I'd like to mention the oldest surviving and most influential text from Chinese civilization, The Nine Chapters on the Mathematical Art by Jiuzhang Suanshu. It was written more than 2,000 years ago and codifies (actually nine chapters worth) what the Chinese knew about mathematics at that point in time. In the eighth chapter, the techniques of solving beginning linear algebra problems (Guassian elimination which you learned about in MTH-119) is presented.
By
Ron Bannon, at 9:51 AM
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By
Ron Bannon, at 6:29 AM
In doing the exam extra credit, i found it to be tricky but after a while i realized this stuff was from pre - calculus involving Gaussians Elimination method. I think i'm speaking for others as well as myself when i say I know Calculus is a challenge handling, but challenging us with our abilities from Pre-Calculus...? You're Good. One more thing do you think we'll have a problem like this on the exam?
T.C
By
Anonymous, at 7:21 PM
I gave the hint in the comments, but I am glad you realized it anyway. As far as being a challenge, most mathematics is cumulative and if you are to step forward, you'll need to constantly step back.
The extra credits are there to help you step back while moving forward.
By
Ron Bannon, at 8:29 PM
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