Showing posts with label Sequences. Show all posts
Showing posts with label Sequences. Show all posts

Wednesday, June 3, 2009

Today's Slides: June 3

Here they are ...



Tuesday, June 2, 2009

FRACTAL

What is a fractal? Generally "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"

We have not yet learned much about fractals but what they can look like, and how to make one.

An example of a fractal can be like this…






An example of one you can make would be as follows...


The blue would be your first box. Then you would make the purple ones which are a reduced size of the first. Then you'd make the green boxes which would be a reduced size of the purple. This can almost go on for infinity, however the size will eventually get to small to be significant or too small to see. We would eventually have to stop because of that factor.



The next scribe is Carmel




Today's Slides: June 2

Here they are ...



Monday, June 1, 2009

Today's Slides: June 1

Here you go ...



Thursday, May 28, 2009

Today's Slides: May 28

Here they are ...



May 26th's and Today's Notes

As of the notes of Periodic Functions on May 26, we have learned and relearned of clarifying the amplitude, the period, and the phase shift.

To identify the amplitude, simply clarify the difference between the sinusodial axis and the maximum or mininum.

A period is determined through of the fraction 2(pi)/b. The parameter itself can be identified by switching 'b' with the period shown.









Parameter C is the phase shift. The phase shift moves the graph either left or right on the sinusodial axis, it is normally subtracted from x. The phase shift is identified as either a whole number or pi/c if the starting point value is less than a whole number.

We were also taught of the cosine function. But it bears a very close resemblence to the Sine function, so we'll only be learning of the Sine function this year. The difference from the Sine function is that it's starting point is pi/2 units apart.












For today's notes, we learn of Sequences, a list of numbers that follow a certain pattern. We learn of two types of Sequences, Recursive and Implicit. A recursive sequence, is a list of numbers generated by continuously adding the difference to the first term. Such an equation would be y= 3 ( n - 1 ) + 4, the 3 would be identified as the difference. Take note that n would be rank. An implicit sequence is basically a list of numbers generated by a linear equation. More or less y = 3 n + 1. The difference in an linear equation would be the slope.

With that said, this scribe will now bid you adieu. As he is sleep deprived, the next scribe will be Don. Please, the person that is to take care of the scribe list, please update it regularly. This is also for anyone next year as well. If, the scribe list is used again.

Wednesday, May 27, 2009

Today's Slides: May 27

Here they are ...



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