Simpson / Trapezodial Rule (1 Viewer)

[Slowness]

Hi All,

Could someone please explain the difference between ordinates, subintervals and function values to do with Simpson / Trapezodial Rule.

Many Thanks

 

[hscishard]

Can someone tell me why it is important? Because it only estimates area and is a lot more complex.
Why use simpsons rule when you can just use the quick and easy Fundamental theorem.

 

[Slowness]

Can someone tell me why it is important? Because it only estimates area and is a lot more complex.
Why use simpsons rule when you can just use the quick and easy Fundamental theorem.

Cos its in the Syllabus

EDIT: It also gives you marks

 

[ar7]

if your not given an an equation to apply integration then you use simpsons rule. simpsons rule serves an easier real-life application to finding area of obscure shapes.

 

[bouncing]

i thought that simpsons/trapezoidal were to estimate functions that cannot be solved normally

umm this is my understanding of it:
sub-intervals are the number of "strips" (tahts what they usually call it in my school exams)
function values is always 1 greater than the number of strips

so 4 strips = 5 function values
and h=b-a/n

 

[hscishard]

if your not given an an equation to apply integration then you use simpsons rule. simpsons rule serves an easier real-life application to finding area of obscure shapes.

Aha...I just saw a question like that on a hsc paper. Had the heights and lengths, used heights as f(a) f(b) ...all that. Thats pretty cool. Too bad it is an approximation. I guess its kind of useful for really big objects (but the bigger the more inaccurate)

 

[Lolsmith]

That's where 3U comes in!

 

[mareetothemaxxx]

Ordinates = x values
sub intervals = number of sections you are dividing the area into
function values = x values
I think?

 

[Slowness]

Thanks Guys

Much Appreciated