Stronger HSC standards-future syllabus changes made by BOSTES

[RuiAce]

Rightfully so! Matrices are easy once you get the hang of it, it should be a 2U method, and 4U students will still learn it

I felt matrices were harder than vectors though


Until projections onto all sorts of random stuff came in

[jamonwindeyer]

I felt matrices were harder than vectors though
Until projections onto all sorts of random stuff came in

I mean it can get tricky, but Gaussian elimination is very intuitive, as can be matrix arithmetic if you are taught well inverses and orthogonal matrices and stuff can get hairy, admittedly, but the usefulness of the methods is so beyond useful, it would have served me well to learn it way before university this new syllabus is really fantastic I must say

[RuiAce]

I mean it can get tricky, but Gaussian elimination is very intuitive, as can be matrix arithmetic if you are taught well inverses and orthogonal matrices and stuff can get hairy, admittedly, but the usefulness of the methods is so beyond useful, it would have served me well to learn it way before university this new syllabus is really fantastic I must say

Yea using Gaussian elimination seems more than fair enough, but it took a while to get used to matrix multiplication though and that sort of stuff is what I feel is better left at a 3U level

Oh of course the improvements are real

[conic curve]

By the way how do you guys feel that simple harmonic motion is being put into 4U?

[RuiAce]

By the way how do you guys feel that simple harmonic motion is being put into 4U?

Laughed a bit. But I don't mind.

[conic curve]

Laughed a bit. But I don't mind.

What if they put binomial theorem in 4U or projectile motion?

[RuiAce]

Projectile motion in 4U is fine.

Half of the binomial theorem topic needed to be abolished. Binomial theorem proofs are useless - only the actual expansion and greatest coefficient etc. had some usage (and the latter is really debatable).

[jamonwindeyer]

Projectile motion in 4U is fine.

Half of the binomial theorem topic needed to be abolished. Binomial theorem proofs are useless - only the actual expansion and greatest coefficient etc. had some usage (and the latter is really debatable).

Agree with this! Teach the expansion technique itself to 2U students (not too difficult to use) and then get rid of the rest and replace it with some more useful calculus

[conic curve]

I wish they could introduce a calculus+probability based topic (like how they have calculus and trig and calculus and logs)

[RuiAce]

I wish they could introduce a calculus+probability based topic (like how they have calculus and trig and calculus and logs)

It's called statistics.

[conic curve]

It's called statistics.

Is it really? I never thought of that. Mind explaining how Statistics is a combination of calculus and probability

[jamonwindeyer]

Is it really? I never thought of that. Mind explaining how Statistics is a combination of calculus and probability

Basically, when you stop considering your outcomes as discrete quantities (how many darts hit the bullseye) and instead consider continuous quantities (the height of someone), the quantities are called continuous random variables. For these we turn to Calculus! 

[conic curve]

Basically, when you stop considering your outcomes as discrete quantities (how many darts hit the bullseye) and instead consider continuous quantities (the height of someone), the quantities are called continuous random variables. For these we turn to Calculus! 

Are there other examples of this?

When we turn to calculus, what type specifically?

[jamonwindeyer]

Are there other examples of this?

When we turn to calculus, what type specifically?

Yes, google 'Probability Calculus' or other similar phrases and see what you find

The example I mentioned above would involve integrals to sum probabilities over certain domains

[conic curve]

Yes, google 'Probability Calculus' or other similar phrases and see what you find

The example I mentioned above would involve integrals to sum probabilities over certain domains

This is what it is: http://tutorial.math.lamar.edu/Classes/CalcII/Probability.aspx

It would be great if they taught it in high school