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August 28, 2025, 02:41:25 am

Author Topic: TheAspiringDoc's Math Thread  (Read 34215 times)  Share 

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TheAspiringDoc

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Re: TheAspiringDoc's Math Thread
« Reply #105 on: November 03, 2015, 09:29:43 pm »
+1
I'll definitely watch the video, thanks! I'm pretty sure I watched the numberphile video on it. But yeah, I understand the basic iteration part, I just don't really understand how all of that translates onto the graph, how the colours work etc. 

Thanks Doc :)
Perhaps a development?
So I've looked into it a bit more, and it seems as though the colours are not actually part of the set, simply something that is added, which makes it look wayyyy cooler..
-Colours are assigned based on how long it takes until a sequence eventually diverges (grows indefinately). Because with complex numbers, it seems as though the value appears to orbit around the origin of the complex number plane for a while?

MathsGuru

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Re: TheAspiringDoc's Math Thread
« Reply #106 on: November 04, 2015, 08:40:17 pm »
+3
Probably most appropriate here. Is someone able to explain how the Mandelbrot Set works? I've watched videos on it and read up about it but it is still very confusing. I don't really know what kind of questions I have about it because though because it seems so confusing. Can anyone explain in simple terms how it works? How you can keep on going deeper into it, does it ever stop?

Another useful documentary on the Mandelbrot set:
https://www.youtube.com/watch?v=Lk6QU94xAb8

This is a fascinating area of maths... to learn more, you can look up some of the key terms (fractals, chaos, strange attractors) online.  It may keep you entertained for years  ;)

When I was a student at Monash I had the privilege of doing a vacation project in this area, at Sydney Uni with Mike Field, who is one of the authors of this book:
http://www.amazon.com/Symmetry-Chaos-Pattern-Mathematics-Edition/dp/0898716721

 

TheAspiringDoc

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Re: TheAspiringDoc's Math Thread
« Reply #107 on: November 08, 2015, 09:34:45 am »
0
Hi :)
I've got my school math's exam tomorrow and I've done a past exam and I've found that I barely managed to finish on time..
This is odd because last semester when we had exams, I had about 20 minutes to check over my answers to each section before submitting it.
I'm very concerned as yesterday when I did the past paper I didn't get time to check my answers to sections BC (rule is that you hand in the non-calculator section A in the first 45 minutes), which led to multiple mistakes.. What can I do about this?
I'm worried.  :'(
Thanks

MightyBeh

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Re: TheAspiringDoc's Math Thread
« Reply #108 on: November 08, 2015, 10:26:03 am »
0
Hi :)
I've got my school math's exam tomorrow and I've done a past exam and I've found that I barely managed to finish on time..
This is odd because last semester when we had exams, I had about 20 minutes to check over my answers to each section before submitting it.
I'm very concerned as yesterday when I did the past paper I didn't get time to check my answers to sections BC (rule is that you hand in the non-calculator section A in the first 45 minutes), which led to multiple mistakes.. What can I do about this?
I'm worried.  :'(
Thanks

What content are you covering? It's hard to give you good advice without knowing.  :)
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TheAspiringDoc

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Re: TheAspiringDoc's Math Thread
« Reply #109 on: November 08, 2015, 11:01:26 am »
0
What content are you covering? It's hard to give you good advice without knowing.  :)
Trig, shapes and angles, Linear graphs, statistics, and quadratic graphs.
Thank you  :-\

99.90 pls

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Re: TheAspiringDoc's Math Thread
« Reply #110 on: November 08, 2015, 11:23:38 am »
+3
Another useful documentary on the Mandelbrot set:
https://www.youtube.com/watch?v=Lk6QU94xAb8

This is a fascinating area of maths... to learn more, you can look up some of the key terms (fractals, chaos, strange attractors) online.  It may keep you entertained for years  ;)

When I was a student at Monash I had the privilege of doing a vacation project in this area, at Sydney Uni with Mike Field, who is one of the authors of this book:
http://www.amazon.com/Symmetry-Chaos-Pattern-Mathematics-Edition/dp/0898716721

That was an awesome doco, but I do wish they'd delve into more of how it relates to complex numbers and stuff, there was a scene where they just scrolled over the psychedelic M-set for like 2 minutes straight with trippy music hahaha

@AspiringDoc, it's pretty much all practice for quadratics, linear and trig. For instance, the more you'll practice, the quicker you'll be able to find delta of a quadratic, x and y-intercepts of linear graphs and trig exact values. If you do it enough, you'll be able to do it in your head, saving precious time.

Another thing I'm guilty of is being perfectionist with my handwriting, but after I ditched that on maths exams, my speed went up quite a bit.
« Last Edit: November 08, 2015, 11:25:53 am by 99.90 pls »
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MightyBeh

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Re: TheAspiringDoc's Math Thread
« Reply #111 on: November 08, 2015, 11:30:24 am »
+1
Trig, shapes and angles, Linear graphs, statistics, and quadratic graphs.
Thank you  :-\

Diagrams are your friends for everything but statistics (and maybe even statistics). Write more working out than you think you need. Context check your answers (-2.8 is an odd answer for the length of wall), highlight, the list goes on.

Because it's time that seems to be the issue, maybe try pumping out some more questions from your textbook or asking for more practice questions? (although given that it's tomorrow that's probably not that viable) I could probably hook you up with some decent practice material if you're desperate  :)

@AspiringDoc, it's pretty much all practice for quadratics, linear and trig. For instance, the more you'll practice, the quicker you'll be able to find delta of a quadratic, x and y-intercepts of linear graphs and trig exact values. If you do it enough, you'll be able to do it in your head, saving precious time.

Another thing I'm guilty of is being perfectionist with my handwriting, but after I ditched that on maths exams, my speed went up quite a bit.
this ^^
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TheAspiringDoc

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Re: TheAspiringDoc's Math Thread
« Reply #112 on: November 08, 2015, 11:39:36 am »
0
Diagrams are your friends for everything but statistics (and maybe even statistics). Write more working out than you think you need. Context check your answers (-2.8 is an odd answer for the length of wall), highlight, the list goes on.

Because it's time that seems to be the issue, maybe try pumping out some more questions from your textbook or asking for more practice questions? (although given that it's tomorrow that's probably not that viable) I could probably hook you up with some decent practice material if you're desperate  :)
this ^^
Thank you both very much.
It's as though I might be showing to many workings perhaps?

MightyBeh

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Re: TheAspiringDoc's Math Thread
« Reply #113 on: November 08, 2015, 11:44:41 am »
+1
Thank you both very much.
It's as though I might be showing to many workings perhaps?

For me personally:
more working = less mistakes, but less checking time
less working = more checking time, but more mistakes

There's a sweet spot between both of those that you can have concise working without spending too much time on it, and consequently you'll have more time to check but not many mistakes to fix, if that makes sense? It really does just come down to practice :)
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TheAspiringDoc

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Re: TheAspiringDoc's Math Thread
« Reply #114 on: November 08, 2015, 12:00:53 pm »
0
For me personally:
more working = less mistakes, but less checking time
less working = more checking time, but more mistakes

There's a sweet spot between both of those that you can have concise working without spending too much time on it, and consequently you'll have more time to check but not many mistakes to fix, if that makes sense? It really does just come down to practice :)
But also like aren't marks given for workings?
I have a tendency to do like twenty lines for a four mark question - probably not good?

MightyBeh

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Re: TheAspiringDoc's Math Thread
« Reply #115 on: November 08, 2015, 12:21:48 pm »
+1
But also like aren't marks given for workings?
I have a tendency to do like twenty lines for a four mark question - probably not good?

Not sure, depends on your school. If they're emulating VCAA exams, full marks would be given the the correct answer regardless of working. It might be that your teachers decide that there's certain 'signposts' for each question; for example you might have to show a substitution when finding the value of a constant or they'll deduct a mark for poor methodology.

You should use as many lines as you feel comfortable with - there's no good reason to skip working that would be helpful to you because someone else doesn't write it. 20 does seem a little excessive, though ::)
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Re: TheAspiringDoc's Math Thread
« Reply #116 on: November 08, 2015, 12:42:31 pm »
+2
If they're emulating VCAA exams, full marks would be given the the correct answer regardless of working.

This is not true at all. It used to be for physics but they changed it last year, where you need to show valid working for a problem to get full marks.

For mathematics (especially specialist) the strictness is ridiculous, if you have so much as a single line with an error (eg, you meant -(5+2) = -7 but you actually wrote -5+2 (forgot the brackets), but still said it = -7) you will be penalized marks.
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Re: TheAspiringDoc's Math Thread
« Reply #117 on: November 09, 2015, 04:23:54 pm »
+1
But also like aren't marks given for workings?
I have a tendency to do like twenty lines for a four mark question - probably not good?

I'd say it depends on the question you're attempting, but try to do just enough working out for you to be able to get the answer. Don't do the working out for the sake of just doing it, do it for the sake of getting the answer and make sure teachers are able to follow through, that's really all you need to score full marks on a question.
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Re: TheAspiringDoc's Math Thread
« Reply #118 on: November 09, 2015, 04:56:54 pm »
+2
Hope your exam went well!! :D

TheAspiringDoc

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Re: TheAspiringDoc's Math Thread
« Reply #119 on: November 17, 2015, 09:14:41 pm »
0
Hey  :D
My exam went alright - I ended up getting 94 - not quite as good as I'd hoped, but close enough for now I guess.

For the fraction what would be a generalised formula for the result?
For example, it is well known that
Thanks!