ATAR Notes: Forum

VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Mathematical Methods CAS => Topic started by: run-bandit on February 06, 2010, 01:38:52 pm

Title: Notation
Post by: run-bandit on February 06, 2010, 01:38:52 pm
what are the different types of notation in math cas (and an example please) and how do you memorize them?

ie: interval notation
Title: Re: Notation
Post by: the.watchman on February 06, 2010, 01:45:59 pm
Ok, there are three main types:

1) Interval (eg. (-3,9] is the equivalent of )
2) Inequation (eg. )
3) Set (eg.

Set obviously is the one with the curly brackets
Interval indicates that the variable is between the two numbers written, with a round bracket meaning not including and a square bracket meaning including.
Title: Re: Notation
Post by: superflya on February 06, 2010, 01:49:09 pm
and its always the rounded bracket for .
Title: Re: Notation
Post by: the.watchman on February 06, 2010, 01:50:19 pm
and its always the rounded bracket for .

Yup

Oh and set notation can be stuff like etc.
Title: Re: Notation
Post by: stonecold on February 06, 2010, 01:55:23 pm
oh my gosh you're killing me.  i had to put up with the teacher spending like 2 hours going over this on thursday haha!
Title: Re: Notation
Post by: superflya on February 06, 2010, 02:18:51 pm
oh my gosh you're killing me.  i had to put up with the teacher spending like 2 hours going over this on thursday haha!

lol same. methods classses are so mehh :P
Title: Re: Notation
Post by: the.watchman on February 06, 2010, 02:20:06 pm
oh my gosh you're killing me.  i had to put up with the teacher spending like 2 hours going over this on thursday haha!

lol same. methods classses are so mehh :P

Yeah, methods was my best subject last year and my least favourite...
I hope it picks up this year :P
Title: Re: Notation
Post by: the.watchman on February 06, 2010, 02:42:53 pm
so in summary:

Interval: [-4, 9)
set: R+ (although not applicable in this case) OR x: -4<=x<=0<=9
in-equation: -4<=x<=0<=9

so SET notation is the same as IN-EQUATION notation except with an (x=) in front?

AND that you can use the symbols like R+

is this correct?

More or less, but I don't get your (why the 0?)
Also, set notation requires CURLY brackets, and it is {x: ...}
Hope this is all useful
Title: Re: Notation
Post by: Greggler on February 06, 2010, 07:47:14 pm
yeah our first few methods classes have been a bore.

our teacher also delves really deep into the theory, and does these really hard examples for like 30minutes at which at the conclusion of doing them says "dont worry if you dont understand all of this. you wont get anything near as hard on the exam'
Title: Re: Notation
Post by: the.watchman on February 06, 2010, 08:51:40 pm
lol sorry the 0 was a mistake.

So set notation is curly brackets like you said, I didn't know what the earlier posts were reffering to

what's the point of it then lol?

its just a waste of writing:

{x: -4<=x<=9}

most DEFINITELY useful

The type of set notation most commonly used is the R and R+ type rather than the inequation in curly brackets.
However, it may be handy to know it in case it's used in an exam.

(btw, try learning how to use LaTeX for equation writing, it looks way better, refer to http://vcenotes.com/viki/index.php/Help:LaTeX)
Title: Re: Notation
Post by: stonecold on February 06, 2010, 09:07:42 pm
take a look at the first page of this, it is a really good and simple explanation on notation.
http://notes.vcenotes.com/?step=downloader&download=411
Title: Re: Notation
Post by: stonecold on February 06, 2010, 09:41:41 pm
so in summary:

Interval: [-4, 9)
set: R+ (although not applicable in this case) OR x: -4<=x<=0<=9
in-equation: -4<=x<=0<=9

so SET notation is the same as IN-EQUATION notation except with an (x=) in front?

AND that you can use the symbols like R+

is this correct?

More or less, but I don't get your (why the 0?)
Also, set notation requires CURLY brackets, and it is {x: ...}
Hope this is all useful

That is correct, but just be careful with using the correct signs.  It should actually read:
{}

because the 9 isn't included.
Title: Re: Notation
Post by: the.watchman on February 06, 2010, 09:54:05 pm
so in summary:

Interval: [-4, 9)
set: R+ (although not applicable in this case) OR x: -4<=x<=0<=9
in-equation: -4<=x<=0<=9

so SET notation is the same as IN-EQUATION notation except with an (x=) in front?

AND that you can use the symbols like R+

is this correct?

More or less, but I don't get your (why the 0?)
Also, set notation requires CURLY brackets, and it is {x: ...}
Hope this is all useful

That is correct, but just be careful with using the correct signs.  It should actually read:
{}

because the 9 isn't included.

Lol, soz, I'll be more careful... :P