Showing posts with label definite intergral. Show all posts
Showing posts with label definite intergral. Show all posts

Thursday, October 25, 2007

Thursday's Post

The Word of the day brought to you by Graeme is Effervescence - a fizzy quality especially in wine

Today's class started off with a laugh. A kid had to find x in a question on a test,using his brain power and he circled x saying here it is.

After that it was back to business with the question: If a particle is moving in a straight line. Its position is given by s(t)= t squared- 3t +1. we had to find the change in position from t1 to t4.
simply plug in the values of t at both times (1,4) then subtract t1 from t4 to get your answer of 6.

We were then given a positive monotonic graph of a vehicle's speed per second. The time intervals are 2
* note-- the quick way of find lower and higher estimates are if

lower- add up all the speeds except last and multiply it by 2 ( 2 because time intervals are 2)

upper- add up all the speeds except first then multiply it by 2

max error is upper estimate subtract lower


The fundamental theorem ( might be bad quality)

I finally found a way to put on a picture :) self pat on shoulder, I'm not much of a computer guy unless its playing games so its a accomplishment on my part




these are kinda fuzzy but it's asking whats the change in.


I believe is is important to know.


The last of the class was spent doing questions on smart board and practising different methods to get the answer.




this is all, I think I got it all covered and Il try to improve my scribes in the future. The next scribe is Graeme---just because he cant beat me in magic :) if he can't do it then I will choose someone else, peace

Wednesday's Scribe

This will be Wednesday's post just coming a bit late, sorry. I'm new to this whole thing so if I miss anything let me know and I will edit anything I have to, just talk to me in class. Thanks.

As for Graeme's selected word for this day I lost it somewhere today and I will ask him for another if he has.

We started class as usual, can't remember anything special happening.
The teacher gave as an assignment of the smart board and we had to figure out the question with our new program.
[slideshare id=145852&doc=ap-calculus-slides-october-24-2007-1193346057870243-5&w=425]

* note--If the equation is f(x)= to a square root over (a number minus x squared)
then the graph will be a half Circle over the X axis.

* note--The trapezoid sum is A ={(B+b)h}/2
If that's not clear, sorry, but its supposed to be area of trapezoid = Big base+ small base multiplied by the interval then multiply all that by 1/2 .

After we learn about the Definite Integral and how to calculate that in many different ways on calculator,and how to calculate the number of intervals so that the estimate of the integral will be off by a set percentage of the actual integral.

*note--If you guys want let me know and I will make a more detailed information on definite integral,I dont know how detailed you guys like these posts to be.

that's all we did in class, seemed shorter then most for me. the next scribe will be me as I already missed so many scribe days so I want to make it for you guys :P so i hope this is okay if not let me know , peace

Wednesday, October 24, 2007

Tuesday Scribe

Alright, I'm not supposed to be the scribe today, or maybe I was, but I wasn't sure. So, I'm doing it anyways, and doing it now, because I couldn't access my computer last night for a long duration of time. Anyways, I'll start with:

Graeme's Selected Word Of the Day: Foment

Stir up or worsen trouble.

Don't forget to double click the word Foment, if you want a more in depth definition. (That awesome tool at the side there)

The start of class begins with an online site that teaches calculus. In the middle of the lesson, we learn a new word.

Monotonic: The graph is strictly increasing or decreasing
(don't forget that awesome double click)

And slightly after that new word, Mr. K tells us about Riemann. And his life story. It's got love, death, but, a rather sad ending. When one day Mr. K tells us the story he REALLY thinks is it, then I'll post it up. But, during the time of story time, he thought he was mixing up his stories.

[Insert Riemann's story here]

But, really, when the smart board is there, it's a lot harder to do a scribe than when I used to do them. Because, all the pictures I'd draw are already on the slide show.

So, the online lesson continues... until the school network goes slow. Mr. K gets a little ticked off, and we start doing questions.

We take left hand sums and right hand sums, using n as the number of rectangles we break the curving graph into.

Left hand sums would be taking one of the extreme estimates.
Right hand sums would be taking the other extreme estimate.

(I think) Depending on the graph, if it's Monotonic Increasing or Decreasing, taking left and right hand sums, wouldn't be the same on both graphs, because you're measuring for different extreme estimates. (I don't even know if that made sense)

And our class ended there.

And a side note. If you're ever one of those people that type "lol" all the time, it's to indicate that it's comical, and probably also saying "okay, your turn to say something".

Homework for... uhh... tonight...yes. Tonight(last night) is: Exercise 3.2 All the odds.

Next scribe is... Craig.

lol