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AP Calculus AB

An interactive log for students and parents in my AP Calculus class. This ongoing dialogue is as rich as YOU make it. Visit often and post your comments freely.

Monday, March 27, 2006

New yet Old

�One of the greatest pains to human nature is the pain of a new idea.�

Or is it? Sometimes new beginnings are just too hard to take. But some do give you something to think about. It's the same feeling as the day you packed up all your stuff to move in to a new house. Boy you really wished you never went to that neighborhood. But eventually you learned to like it. Or that time when babies had to stop drinking from their milk bottles and start acting like "grown ups." You see them whine and do every little thing they can to persuade you into giving back their tiny, precious milk containers. And you always wonder "What's the big difference?" Well, tell you my friend, no matter how alike two things are, you'll always see yourself looking for that same old thing you've grown to love. It's never the same.

But then, the case here is quite clashing to what you've just read. (Some introduction huh? ;P) I just put that up to make it a little bit more interesting. We do have a new topic (if we all would consider that) but it's not that heart-breaking or agonizing to take. It's pretty cool actually.

This day, we learned some new terms of those we've known in the past chapters. NEW WORDS, SAME CONCEPT.
  • Differential Equation - equations that relate derivatives to other functions
  • Order - refers to the highest-order derivative of the differential equation
  • General Solution - corresponds to a family of solution curves
  • Particular Solution - exact solution for the differential equation
  • Initial Condition - The values assumed by the variables in a component, system or model at the beginning of some specified duration of time
  • Initial Value Problem - the combination of an initial condition and a differential equation
These are just some and I know there's a bunch to come.

So as this point, saying DERIVATIVE or SECOND DERIVATIVE is prohibited. We all have to get used to the new ones. Because if not, it's never going to be a habit. And if it's not a habit, it's never going to run successfully in our system. And if it doesn't, then there was no learning.

�The greatest pleasure in life is doing what people say you cannot do.�

Are you ready for this? :)

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