Monash Maths thread

[BigAl]

No there is no one definitive answer.

[keltingmeith]

A bit of trouble with this question for MTH2222 (pretty much an epsilon-delta though, so don't let the fact that it's probability scare you):



Basically, we need to find a value of C to suit the above statement - or, in the words of the question, "obtain an upper bound on the distance between the mean and the mode". We're working with a binomial distribution.

So, what I've got so far:


This is where I run into problems. See, C should depend on p, but not on n, and I'm not sure how to get rid of r and thus n. I know that , but using this I lose my strict inequality, and the original expression contains a strict inequality. Would this be an issue?

EDIT: E-mailed my tutor, he said that I don't have a problem as , which is different to what I thought (saying the reason why is because ). Can anyone explain this to me, because I can't seem to understand why?

[TrueTears]

from the man himself.

[keltingmeith]

from the man himself.

I did find that, thought it was pretty cool to so easily find Kais through a google search. Skipped it because I assumed that since it said median I wouldn't find any help in there - already submitted the work anyway, managed to figure something out (with a lot of help from kinslayer, thank you!). Thanks though, TT, I'll definitely give it a read now that my plate's cleared of that assignment.

[Orb]

Has anyone done MTH1040 as a subject? (extension maths for Year 12s)

I had a look throughout the website but it doesn't specify:

-in detail what it's about
-what courses it contributes to

Could anyone please help me on this? Thanks in advance!

[IndefatigableLover]

Has anyone done MTH1040 as a subject? (extension maths for Year 12s)

I had a look throughout the website but it doesn't specify:

-in detail what it's about
-what courses it contributes to

Could anyone please help me on this? Thanks in advance!

Have you had a look at this by any chance hamo94? It details what courses it contributes to: http://www.monash.edu/extension/study-options/mathematics.html

Credit arrangements

Students who successfully complete MTH1040 and subsequently gain a place in the Bachelor of Science (or associated degrees) will receive credit for a first-year sequence in Mathematics allowing them to proceed to second-year studies in Mathematics.

Students who successfully complete MTH1040 and subsequently gain a place in an engineering degree may receive credit for either one or both of these units depending on the course structure and their VCE preparation in entering the course. The Faculty of Engineering recommends that interested students should contact the course adviser prior to enrolment for more information.

Degrees from other faculties may also allow credit for first-year Mathematics.

Information on this page is correct as at 23 July,2014

I could ask my friend who's done it since there's quite a few of them who actually do this subject however you're definitely missing out on one of the best lecturers in the business (being Burkard LOL [he's fantastic]) since you'll be doing it at your school I presume?

I'll chuck this here too in case you need it for later on: http://futurestudents.unimelb.edu.au/admissions/credit_calculator

[keltingmeith]

Has anyone done MTH1040 as a subject? (extension maths for Year 12s)

I had a look throughout the website but it doesn't specify:

-in detail what it's about
-what courses it contributes to

Could anyone please help me on this? Thanks in advance!

MTH1040 is basically identical to MTH1030, except it's extended by a semester (this is what Burkard told us last semester, and I've heard from people who did MTH1040 in previous years). There are lots of reviews for this subject in the subject review thread, so go read up on MTH1030 (MTH1035 is also similar, so you can check out those reviews as well).

MTH1040 will contribute to the BSc and all double degrees containing it - however, you should be able to count it towards a normal BEng, and I'd assume there's units in the BComm that this could count towards as well. Basically, there are things in MTH1030/1040 you have to know to do Engineering and Commerce, but some of it is quite pure that the Eng/Comm people don't need, and so they basically get the same subject, but watered down for relevance sake. (can confirm for ENG1091(possibly wrong unit name), not for BComm though)

[emchun]

Hello,
I need help with these two questions. I keep trying to do them but I don't know where I am going.

True or False? then . The answer is false but I have no idea what to do to prove that.

True or False? If is an even function, then is even for any function . The answer is true. I've tried this many times and I get more confused the more I try so I think I'm doing it wrong.
I understand that for it to be even it has to be . And if is an even function, then it has to be and I try to prove this by showing when even and odd but I don't even know what I'm doing...or I think I'm having trouble understanding the concept of composite functions.

[kinslayer]

True or False? then . The answer is false but I have no idea what to do to prove that.

This is true for some functions, but not others. If then it is true, for example, but if then it is not true since for example .

True or False? If is an even function, then is even for any function

What you have done is correct. It doesn't matter whether f is even or odd since the value of g (which is even) is the same whether or not x>0 or x<0.

Since g is even, f(g(-x)) = f(g(x))  which means f(g(x)) is even.

[emchun]

This is true for some functions, but not others. If then it is true, for example, but if then it is not true since for example .

What you have done is correct. It doesn't matter whether f is even or odd since the value of g (which is even) is the same whether or not x>0 or x<0.

Since g is even, f(g(-x)) = f(g(x))  which means f(g(x)) is even.

Thank you for you help!

I've also done a differentiation question but I'm not sure if it's right. It would be great if someone can help check!

d/dx[(cos(x))^(1/x)] = -sin(x)cos(x)/x

Sorry for not using LaTeX, I couldn't work out how to use it for this one, it came out weirdly when I tried.

[Kanon]

Thank you for you help!

I've also done a differentiation question but I'm not sure if it's right. It would be great if someone can help check!

d/dx[(cos(x))^(1/x)] = -sin(x)cos(x)/x

Sorry for not using LaTeX, I couldn't work out how to use it for this one, it came out weirdly when I tried.

If I'm not sure what I did is correct when doing a derivation or something requiring few steps is I just chuck it into wolfram alpha.
https://www.wolframalpha.com/input/?i=derive+cos%28x%29%5E%281%2Fx%29
It'll show you if the interpretation it has is correct and if it is correct or not.



FTAO: Anyone that has done MTH1030, for the mid semester test should I really worry about theory? Or could I get away with just knowing how to solve things?

[kinslayer]

MTH1030 is taught differently in second semester, so the MST might be different too. But the MST in first semester was pretty easy, no theory questions. Just some point/line/plane and eigenvalue/row reduction stuff, all applications.

If you are still worried, you can ask Simon and he will tell you pretty much exactly what is on it.

[keltingmeith]

So, a friend just asked me if "getting a minor in maths is useful". I, of course, thought that was a bit of a redundant question and said "of course it is", to which she replied her mum thought it wasn't and as such was being pressured not to get it.

Can any of you think of any reasons as to why a maths minor would be any less useful than any other minor?

[donkson]

of course it is

exactly, not really sure what the argument against it would be.

[keltingmeith]

I just noticed that Monash is offering a new unit - MTH2025, which appears to be like MTH2015 but for the linear algebra unit.

Has this been talked about in MTH2015 by John at all? Because while I'm not doing 2015, I am very intrigued and curious to do 2025. It doesn't say that 2015 or 2010 is a pre-req at all, so I'm assuming they should be fine with me doing 2025 regardless of my doing 2010 instead this semester.