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March 29, 2024, 09:23:00 am

Author Topic: VCE Methods Question Thread!  (Read 4802815 times)  Share 

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Tau

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Re: VCE Methods Question Thread!
« Reply #18345 on: January 12, 2020, 11:13:16 pm »
+3
Would you happen to know where to get UDF's?

Here’s some useful ones: http://scriptedmath.com/
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TheEagle

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Re: VCE Methods Question Thread!
« Reply #18346 on: January 12, 2020, 11:17:17 pm »
0
Here’s some useful ones: http://scriptedmath.com/

I had a look at those ones a few weeks ago but I heard from a friend who goes to Nossal that the peeps at MHS have crazy ones where it makes exam 2 a 'joke', hahaha it seems to good to be true

colline

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Re: VCE Methods Question Thread!
« Reply #18347 on: January 12, 2020, 11:24:13 pm »
+4
I had a look at those ones a few weeks ago but I heard from a friend who goes to Nossal that the peeps at MHS have crazy ones where it makes exam 2 a 'joke', hahaha it seems to good to be true

I don't know what goes on at MHS but I know a lot of tutoring companies have these "CAS Workshops" where they spoonfeed you a list of UDF's for a "small" price. ;)

UDF's definitely make exam 2 slightly easier to tackle but in the end it's the working out that gets you marks - they're much more important than the answer which is what your CAS will give you. And you can't write down your CAS commands on the exam paper as working out. I would suggest only using UDFs for multiple choice / other 1-markers, or checking your answer AFTER you've already done all the working out.

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TheEagle

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Re: VCE Methods Question Thread!
« Reply #18348 on: January 12, 2020, 11:26:51 pm »
0
I don't know what goes on at MHS but I know a lot of tutoring companies have these "CAS Workshops" where they spoonfeed you a list of UDF's for a "small" price. ;)

UDF's definitely make exam 2 slightly easier to tackle but in the end it's the working out that gets you marks - they're much more important than the answer which is what your CAS will give you. And you can't write down your CAS commands on the exam paper as working out. I would suggest only using UDFs for multiple choice / other 1-markers, or checking your answer AFTER you've already done all the working out.

Which companies, I'm interested in buying some :)

SethMillerODonnell

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Re: VCE Methods Question Thread!
« Reply #18349 on: January 13, 2020, 09:25:27 am »
+1
In my opinion, if you to use UDFs and programs, you are best off making them yourself.

Three reasons:
1) you won't lose any money
2) it will force you to assess exams to know when and where they may be necessary. In my opinion, the variation in the types of questions that are present in Methods exams actually limit your ability to use them. And I agree with Colline that the majority of the marks will come from working out anyway. I believe the programs are more beneficial for a subject like Further anyway.
3) You will understand how they work, and develop competency with it during practice. True story, I knew someone who downloaded a few once for a SAC, and one of them was pretty complex. Couple this with the number of pages they had open and the CAS crashed mid SAC. Don't make this same mistake.

Hope this helps.

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SethMillerODonnell

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Re: VCE Methods Question Thread!
« Reply #18350 on: January 13, 2020, 09:36:42 am »
+4
Any tips in producing a bound reference? What would you put in the bound reference and what can you put into a bound reference?

(bringing a textbook is kinda stupid since it is not compiled or condensed)

My favourite principle when it comes to bound reference books is the KISS principle. Keep it Simple and Stupid. Use as little space to write notes on the most relevant content which make sense to you. Only include example questions if they are ones which you have done really poorly in the past. One recommendation here is that you use the left side of the page for notes and summaries and then the right side for examples. This will help you enormously in the exam if you needed to go through to look at an examples, as you will know that it is on the right side of the page. Likewise, if you are looking for some content or formulas which you have forgotten, you know it will be on the left side. It is a huge time saver.

You will find that the more you practise, the less you will need your bound reference book. This is why it is essential to continually review what you have written and assess is this really going to help me, or is it just filling up space on the paper which is going to waste my time on the exam? Trust me when I say this, that time means everything when it comes to SAC's and exams, you definitely do not want to waste it searching for something in your bound reference book that takes longer than needed to find. So I'd recommend updating your bound book weekly, as this will allow you to revise the content as well as sharpening the quality and readiness of your bound reference book for the next upcoming assessment at the same time.

To be honest, I don't even think you will need to add anything in regards to CAS functions. By the time you reach SAC's and exams, you would have used your CAS calculator so much in practice, provided that you have put the time in which I'm sure you will, that using your CAS will just become second nature. In doing so, this will shorten the length of your bound book even more.

So in summary,

- include all relevant content in as little words as possible
- only include examples from exam questions which you really struggle with
- separate examples from content to make it easy to find
- review it regularly to make it as short and succinct as possible.
- I would not recommend including CAS calculator functions, particularly when you should already know them really well.
- make it work for you! It only has to make sense to you!

I hope this has helped you.

Thanks,

Seth.
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milanander

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Re: VCE Methods Question Thread!
« Reply #18351 on: January 14, 2020, 08:52:26 am »
+1
Which companies, I'm interested in buying some :)

I know RL tuition held two CAS workshops last year.
« Last Edit: January 14, 2020, 08:54:05 am by milanander »
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TheEagle

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Re: VCE Methods Question Thread!
« Reply #18352 on: January 14, 2020, 02:04:43 pm »
0
I know RL tuition held two CAS workshops last year.

Are RL any good? I was considering their tutoring classes for methods and spesh

milanander

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Re: VCE Methods Question Thread!
« Reply #18353 on: January 14, 2020, 03:34:02 pm »
0
Are RL any good? I was considering their tutoring classes for methods and spesh
I do not have any personal experience with their program (or CAS workshops), so I don’t know. Sorry I couldn’t be of more help.
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IThinkIFailed

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Re: VCE Methods Question Thread!
« Reply #18354 on: January 22, 2020, 07:03:28 pm »
0
I’m not exactly sure how to tackle this question...
cos(x)=2/3 over the domain [-pi, 3pi]
2/3 is not an exact value, so I can’t get the exact answers.
So far my solutions are:
cos^-1(2/3) and -cos^-1(2/3)
I’m not sure how to get the other, less obvious solutions though...
I understand the restrictions of the domain, and my guess is something like -pi + cos^1(2/3)
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^^^111^^^

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Re: VCE Methods Question Thread!
« Reply #18355 on: January 22, 2020, 08:21:00 pm »
+5
I’m not exactly sure how to tackle this question...
cos(x)=2/3 over the domain [-pi, 3pi]
2/3 is not an exact value, so I can’t get the exact answers.
So far my solutions are:
cos^-1(2/3) and -cos^-1(2/3)
I’m not sure how to get the other, less obvious solutions though...
I understand the restrictions of the domain, and my guess is something like -pi + cos^1(2/3)
Apply to your question the cosine identities, cos(θ+2π)=cos(θ) and cos(2π-θ)=cos(θ)

Therefore, cos^-1(2/3)+2π=cos^-1(2/3) and 2π - cos^-1(2/3).
Usually for these questions instead of memorizing identities, it is easier to visualize the unit circle and work from there using the ASTC method . Since the restrictions are from -pi to 3pi, this means that the unit circle takes 2 and 1/2 revolutions clockwise (1 revolution is 2π or 360 degrees), and 1 revolution anticlockwise.

Please ask if you would like for me to explain more.
« Last Edit: January 22, 2020, 08:23:13 pm by ^^^111^^^ »

cotangent

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Re: VCE Methods Question Thread!
« Reply #18356 on: January 23, 2020, 12:12:59 am »
0
Hey,
Does anyone know how to integrate xcos(x) by hand? Is there a method to do it straight away? I found it on an exam where they have it in parts with part a) asking us to diff 2xsin(x) and then use that to evaluate the integral which u can do by ∫(0.5*dy/dx)dx - ∫sin(x) dx. (note: dy/dx is the derivative of 2xsin(x)) (the limits are from 3pi/4 to 4pi/3). I get that but, is there a method to do it straight away from x cos (x)?


thanks
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Sine

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Re: VCE Methods Question Thread!
« Reply #18357 on: January 23, 2020, 12:30:30 am »
+3
Hey,
Does anyone know how to integrate xcos(x) by hand? Is there a method to do it straight away? I found it on an exam where they have it in parts with part a) asking us to diff 2xsin(x) and then use that to evaluate the integral which u can do by ∫(0.5*dy/dx)dx - ∫sin(x) dx. (note: dy/dx is the derivative of 2xsin(x)) (the limits are from 3pi/4 to 4pi/3). I get that but, is there a method to do it straight away from x cos (x)?


thanks
Yeah it is possible. It is called integration by parts which allows you to integrate expressions that are in the form f(x)g'(x). The formula for integration by parts is derived from the product rule.

However, this technique is not part of the methods nor spesh syllabus. It is most commonly taught in 1st/2nd year university maths. Since in methods it will be a multipart question to integrate this if you do it in one step you won't get all the marks.

cotangent

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Re: VCE Methods Question Thread!
« Reply #18358 on: January 23, 2020, 12:41:44 am »
0
Yeah it is possible. It is called integration by parts which allows you to integrate expressions that are in the form f(x)g'(x). The formula for integration by parts is derived from the product rule.

However, this technique is not part of the methods nor spesh syllabus. It is most commonly taught in 1st/2nd year university maths. Since in methods it will be a multipart question to integrate this if you do it in one step you won't get all the marks.

Thanks :)
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SmartWorker

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Re: VCE Methods Question Thread!
« Reply #18359 on: January 24, 2020, 10:35:59 am »
0
Hey,
How do you do this question, it has something to do with quadratics.
Thanks. :)
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