ATAR Notes: Forum
VCE Stuff => VCE Mathematics => VCE Mathematics/Science/Technology => VCE Subjects + Help => VCE Specialist Mathematics => Topic started by: herbsza on October 10, 2010, 06:09:51 pm
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Hi guys just wondering does anyone know how to do Euler's method on tne TI Nspire CAS Calculator. Also what are the chances of Euler's Method appearing on Exam 1
Thanks
Herbsza
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Euler's Method seems quite plausible on the first exam, they could ask you for the answer in exact form, or give you easy numbers i guess.. don't have an Nspire so can't help there sorry :)
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Hey
Eulers method is a very high chance of appearing in Exam 1. Most exam 1's i've done so far has a question on Mr Euler. If you know the formula, you should be fine.
For the Nspire, there is no function to do it, you need to create the Euler program. It was featured in the Essentials book
(http://img827.imageshack.us/img827/2545/captureftw.png)
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If you are feeling lazy, then i'll upload the .tns file that you just need to transfer to your TI nSpire (using the computer link or Student Software)
Euler1.tns is the ORIGINAL Eulers Method thats programed from the Essentials book, my teacher sent it to me since he took the time to do it.
e.tns is a MODIFIED Eulers method done by me. Nothing special, i just changed instead of typing euler1 all the time, all i need to press is e and then blah blah
So how do you use this program?
Ok, so the question will tell you a differential equation, an x point and a y point (like f(1) = 3), and step size. find (whatever)
So what do you press?
1) Define f(x)=(equation)
Note that if you press f'(x) (even though the book is a differential equation) into the define, the program just farts and then rejects it. so ALWAYS use f(x)
For example, if the book says f'(x) = x + 1
on your calculator you type
Define f(x) = x + 1
DON'T ANTI-DIFF THE QUESTION EQUATION!!!!, just imagine that f(x) is the diffed equation
2) euler1(x,y,c,h)
x is the x point, y is the y point, c is the finding x point, h is the step size
Lets do an example.
Find f(1.2) when the equation is f'(x) = x2 - 1 and f(1) = 4 and step size is 0.1
On the program i would press
1) Define f(x)=x2-1
2) Euler1(1,4,1.2,0.1)
A row of answers come up, the last one is it.
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If you are using e.tns instead, instead of typing in Euler1 all the time, you just need to press e (the letter e, not exponential e) then whatever like e(x,y,c,h)
Hope that helps
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And for those using the classpad :)
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Just wondering, what's so hard about using the formula from your head? they won't ask you for the 10000th term in a formula. And Why do you want to have it on the Nspire if you're asking about exam 1?
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iffets12345: thats a very good question.
On examination 1, there is no calculator involved, however he asked if it would appear on exam 1, not how to do it. Examination 2 normally asks for like the 6th - 7th term. it could get tedious and repetitive, especially in a multi choice question where you shouldn't be spending more than a minute or so on each
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I've done about 10 exams and they ask for like the 3-4th term max o.O
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i'm just exaggerating LOL
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LOL good job!
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I did one that asked for like the 20th term.
Granted it was in terms of the 19th term, but still there was a question in there that was quicker to just punch the values into your calc. It's also good to be able to quickly double check your answers sometimes..
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I still firmly believe that every year 12 maths question can be answered with 1 line on the TI-89.
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I still firmly believe that every year 12 maths question can be answered with 1 line on the TI-89.
Yes! And a hella lot of brackets.
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Hi guys just wondering does anyone know how to do Euler's method on tne TI Nspire CAS Calculator. Also what are the chances of Euler's Method appearing on Exam 1
Thanks
Herbsza
i'm pretty sure that a program comes with the nspire that will let you do it. you should check the ti website - it should be somewhere there
and it wuld save u a whole lot of time over programming it yourself. unless u like that sort of thing :P