2016ers Chit-Chat Thread (42 Viewers)

Speed6 · Jun 27, 2016

Guys need help here,

There are a few different ways of expressing the trapezoidal and Simpson's rule.

What is the most ideal formula for both, for more than 1 application?

leehuan · Jun 27, 2016

Speed6 said:
Guys need help here,

There are a few different ways of expressing the trapezoidal and Simpson's rule.

What is the most ideal formula for both, for more than 1 application?

Your answer: Whichever one makes the most sense to you

Speed6 · Jun 27, 2016

leehuan said:
Your answer: Whichever one makes the most sense to you

I was after the formulae

leehuan · Jun 27, 2016

$\text{Trap rule: }\frac{h}{2}[f(a)+f(b)+2f(\text{inbetweens})]$

$\text{Simpson's rule: }\frac{h}{3}(f(a)+f(b)+4f(odds)+2f(evens))$

That was what I used to memorise them.

But it might not work for you?

InteGrand · Jun 27, 2016

Speed6 said:
I was after the formulae

You should probs just do heaps of practice Q's where they make you do them with multiple sub-intervals, and you'll probably end up just being able to do them without really needing to memorise a formula (like the process would just stick to your head).

The trouble with memorising formulas for this topic in particular is that unless you've practised using it heaps, it's easy to get confused as to how to use the formula, because there's usually several variants of them due to different notations or conventions etc. (This is also true about the error formula for Simpson's Rule, though that's not taught in HSC. But I think there was a document written up by seanieg89 addressing these things for the interested 4U student.)

Speed6 · Jun 28, 2016

Cheers boys

Nailgun · Jun 28, 2016

leehuan said:
$\text{Trap rule: }\frac{h}{2}[f(a)+f(b)+2f(\text{inbetweens})]$

$\text{Simpson's rule: }\frac{h}{3}(f(a)+f(b)+4f(odds)+2f(evens))$

That was what I used to memorise them.

But it might not work for you?

Use this one, the one is Cambridge 2U is way more time consuming to use lel

leehuan · Jun 28, 2016

Nailgun said:
Use this one, the one is Cambridge 2U is way more time consuming to use lel

What was the one they told you in Cambridge?

Nailgun · Jun 28, 2016

leehuan said:
What was the one they told you in Cambridge?

the biggest issue was that you had to do it multiple times if you had more than 2 function values

I didn't know the one you posted existed for like 2 months lol

I did it using the Cambridge formula for ages

leehuan · Jun 28, 2016

Nailgun said:
the biggest issue was that you had to do it multiple times if you had more than 2 function values

I didn't know the one you posted existed for like 2 months lol

I did it using the Cambridge formula for ages

Well tbh 4odds 2evens is just this formula's iteration condensed into one formula.

But yeah if you can memorise it then it's always better.

Nailgun · Jun 28, 2016

leehuan said:
Well tbh 4odds 2evens is just this formula's iteration condensed into one formula.

But yeah if you can memorise it then it's always better.

yeah but it makes it 100x faster lel

dan964 · Jun 28, 2016

leehuan said:
$\text{Trap rule: }\frac{h}{2}[f(a)+f(b)+2f(\text{inbetweens})]$

$\text{Simpson's rule: }\frac{h}{3}(f(a)+f(b)+4f(odds)+2f(evens))$

That was what I used to memorise them.

But it might not work for you?

the only issue is what do you start counting at?

InteGrand · Jun 28, 2016

You have to keep in mind that you start counting at 0. That's why only memorising the general formulas will probably get you into trouble. Imo it's better to just know the results for a single parabola/interval, and then if multiple ones are used, you should be able to see you're just adding up results for several single parabolas/intervals, and if you do enough Q's you'll end up basically figuring out what the formula becomes in the multi-parabola/interval case (and maybe just keep the general results' form in the back of your mind). After all, those general formulas are nothing more than adding up the results of single parabola/interval.

leehuan · Jun 28, 2016

dan964 said:
the only issue is what do you start counting at?

$\text{What InteGrand said, however I never got lost treating }a=x_0, b=x_n$

DatAtarLyfe · Jun 28, 2016

Phys trial tomorrow.
Pressure is on to get first rank

Nailgun · Jun 28, 2016

yeah lol, my teacher taught it starting at 1, with 2(odd) and 4(even) and I got so confused lel

Nailgun · Jun 28, 2016

DatAtarLyfe said:
Phys trial tomorrow.
Pressure is on to get first rank

The chain remains, the game is in tact
The name is mine, I'll take blame for that
The pressure's on, but guess who ain't gon' crack? [laughs]
Pardon me I had to laugh at that
How could you falter when you're the rock of Gibraltar
I had to get of the boat so I could walk on water
This ain't no tall order, this is nothin to me
Difficult takes a day, impossible takes a week
I do this in my sleep,
I sold Kilos of coke, (so?) I'm guessin' I can sell CD's
I'm not a businessman, I'm a business, man
Let me handle my buisness, damn!

ml125 · Jun 29, 2016

ayy lmao

last min cramming for mx1 in catho :'))))))

Shuuya · Jun 29, 2016

Getting English results back next period, rip me :')

turntaker · Jun 29, 2016

Shuuya said:
Getting English results back next period, rip me :')

Good luck

You'll need it

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