Do we do this level of maths in highschool in Australia? (1 Viewer)

[vafa]

I am really sad today because I just found out that I know nothing in maths.

My friend causin just came from Iran to visit me and because I asked him to bring a maths book from Iran and he did. The maths books is the maths book of year 12 advanced maths student=I thought like our 4 unit but when I looked at the problems I just shocked.

Lets have a look at this questions.
No wonder We are so behind in maths than other countries...!

 

[dora_18]

omg i wouldn't know where to start..im not that great at maths. But you're right Australia is behind in maths compared to other countries...when i lived in poland i was doing fractions at the age of 8..you had to know the entire times tables... here people who are in year 3 dont know how to add double digits.

but pffft as if you need to know how to do THAT.

 

[Riviet]

=> Uni maths <=

 

[vafa]

omg i wouldn't know where to start..im not that great at maths. But you're right Australia is behind in maths compared to other countries...when i lived in poland i was doing fractions at the age of 8..you had to know the entire times tables... here people who are in year 3 dont know how to add double digits.

but pffft as if you need to know how to do THAT.

I do not know if I spell this right or not but there is a Polish girl in my English class who always makes fun of me. she always says something to me in Polish and I do not understand that. I am really sorry If the spelling of the word is not right. the expression is: yak ve pujevayedtee

Do you know what does that mean?

 

[Mumma]

Would anyone here know what the integral symbol with the circle in the middle means?
Also, sometimes you see integral symbols with only one limit given at the bottom. What is that? Thanks.

 

[pLuvia]

Yes, Australia is that behind in maths, but you'll probably learn it in university, so don't worry too much. And plus, double integration won't be used that much I don't think

 

[dora_18]

I do not know if I spell this right or not but there is a Polish girl in my English class who always makes fun of me. she always says something to me in Polish and I do not understand that. I am really sorry If the spelling of the word is not right. the expression is: yak ve pujevayedtee

Do you know what does that mean?

I would most definitely...if it was spelled right lol
the first part sounds like "jak wy"( you dont spell it with a "v" because theres no "v" in the polish alphabet) which means "if you" but god knows what that last word is.

are you sure shes swearing? lol

 

[Slidey]

I don't understand the fuss.

Australia is not behind at maths... at least at a 4-unit level. 4-unit students are well equipped to deal with the maths they are faced with at university.

4-unit students go into a fair amount of depth regarding complex numbers, integration and conics; such that at uni you can pretty much kick back and relax when you hit these topics.

Those double integrals and functions in multiple variables may look complex but a lot of that is because you've never seen them before. It's all stuff you cover in the first year/semester of uni. It's easy to pick up.

4-unit students may learn things many see as useless (conics, circle geo), however 4-unit emphasis abstract thinking and teaches you a variety of methods of proof. These things more than any of the content have been invaluable for me at uni.

Mumma: The integral with a terminal at the bottom only is one of Riemann, Lebesgue, or Contour integral.

 

[acmilan]

These questions arent necessarily 'harder' than anything you learn in 4 unit. For example, question 1 is solved by:

Solving the inner integral, ie. find int (0 to sqrt(a²-y²)) x²+y² dx by holding y constant (so you're effectively integrating x² + C). Then use the result of that integral, call it I, to evaluate the outer integral int (0 to a) I dy.

Actually, when you think about it, its actually a lot easier than the single integral questions you can get in 4 unit. I'm sure theres a lot of things in 4 unit that people from other countries wont learn in year 12.

 

[STx]

Would anyone here know what the integral symbol with the circle in the middle means?
Also, sometimes you see integral symbols with only one limit given at the bottom. What is that? Thanks.

With the integration symbol and the circle in the middle, i think it has to do with complex analysis, and Cauchy's theorem? http://mathworld.wolfram.com/CauchyIntegralTheorem.html btw it looks pretty fun to do lol

 

[haque]

I agree with acmillian-double and triple integrals are easier than they look and in four unit we indirectly deal with real analysis which in many other countries is dealt with only in uni. however our internatioanl maths olympiad results weren't as good as some of the leading countries like USA, China, Russia and, i think u'll like this bit Vafa, Iran.

 

[vafa]

I agree with acmillian-double and triple integrals are easier than they look and in four unit we indirectly deal with real analysis which in many other countries is dealt with only in uni. however our internatioanl maths olympiad results weren't as good as some of the leading countries like USA, China, Russia and, i think u'll like this bit Vafa, Iran.

Ofcourse, Iran is the most strongest country in mathematics and if you look at the history of mathematics, about 80% of mathematicians were from Iran.

 

[acmilan]

Integration symbol with the circle in the middle just means you're integrating over a closed curve/boundary - nothing to do with complex analysis. Its not anything really different to normal integration, just shows whoever is reading it that its being done over a closed curve

 

[bboyelement]

it doesnt really matter to me that much, i find 4 unit maths like any other subjects. i did it because im better at it than other subjects and it will give me a good uai to go to uni. so the level of maths in high school doesnt worry me because like any subject if you dont practice over a period of time it will come and go... so unless you are going to do maths at uni it doesnt really matter. if you wish to better then do your own study because there is no limit to maths ... overall i see it as a way of challenging your brain

 

[STx]

Integration symbol with the circle in the middle just means you're integrating over a closed curve/boundary - nothing to do with complex analysis. Its not anything really different to normal integration, just shows whoever is reading it that its being done over a closed curve

ah right, lol thanks, I only remembered seeing it on that page on Wolfram.

 

[vafa]

Everyone who uses mathematics are mathematicians, really. I'm quite sure that Iran does not take up 80% of those people.

However Persia was very, very good at mathematics. As was China =)=)=)

I meant those mathematicians who had done something great like KHAWARAZMI who made algebra.

look at this website to just see some of persian mathematicians and China has done no big thing in mathematics comparing to Persia/Iran.and if you are sure that persia does not take up 80% of those people, then I would really advise you to have a look at the history of mathematics.

http://en.wikipedia.org/wiki/Categoryersian_mathematicians

 

[acmilan]

In my opinion:

He's not the inventor of algebra. He's considered by some (not all) to be the 'father' of algebra, that doesnt make him the inventor. I dont believe that any one person can be attributed to inventing it, and there are others who worked with what we consider algebra to be before he did, and others who have contributed a lot more to algebra than he did.

Regardless, theres no way you can say any one nation/race/whatever makes up 80% of the contributions to mathematics. Saying China hasnt done anything big for maths is foolish, and disregarding the works of the Europeans in the 1000-1800 AD would be criminal. In my opinion, the greatest mathematician was Galois, and he was French.

 

[STx]

^ Yeah Diophantus is also related to the 'invention' of algebra.

 

[Forbidden.]

Everyone who uses mathematics are mathematicians, really. I'm quite sure that Iran does not take up 80% of those people.

However Persia was very, very good at mathematics. As was China =)=)=)

India ?

 

[vafa]

In my opinion:

He's not the inventor of algebra. He's considered by some (not all) to be the 'father' of algebra, that doesnt make him the inventor. I dont believe that any one person can be attributed to inventing it, and there are others who worked with what we consider algebra to be before he did, and others who have contributed a lot more to algebra than he did.

Regardless, theres no way you can say any one nation/race/whatever makes up 80% of the contributions to mathematics. Saying China hasnt done anything big for maths is foolish, and disregarding the works of the Europeans in the 1000-1800 AD would be criminal. In my opinion, the greatest mathematician was Galois, and he was French.

algebra comes from al-jabr and it means putting together every seperated part and khawarazi named it al-jabr

european mathematicians always stole persian mathematician's works and then they said it is our work...!
Look at the basic foundation of maths. if there was no persian mathematician in this world, then we would no even be able to add 1+1