Q math 1151 (1 Viewer)

[Tazzz]

hey guys i was wondering what 3 u is relevant for math 1151 i did 2u hsc got 96 and did yr 11 and some yr 12 ext 1 but then droped it as i got swine flu and missed a alot work .

 

[Tazzz]

can anyone tell me any 3u or 4u topics that i need to know in order to understand the topics

 

[kaz1]

Integration (substitution and IBP), inverse trig and some other stuff.

you don't need to know, they teach it as if you haven't learned it before.

 

[Tazzz]

Integration (substitution and IBP), inverse trig and some other stuff.

you don't need to know, they teach it as if you haven't learned it before.

so wait they teach u all the 3u hsc stuff relevant in math 1151, then y do they say its assumd knowldge?

 

[kaz1]

learning it in high school > learning it in uni

 

[Bored Of Fail1]

theres assumed knowledge because they except you to pick up the ideas pretty fast.

Also, not all of 3unit maths is covered.

They go through limits , functions, differentiation , curve sketching, parametrics ( though this is different from the 3unit parametrics ) , logarithmic functions, inverse functions and some other stuff. Still it does leave out some stuff from 3unit.

- No combinations/permuatations.
- No Circle Geometry
- No Mathematical Induction ( they do this with complex numbers, but still it has never been asked on a final exam ).
- Probability ( they dont go into anywhere near as much detail as in hsc ).
- No binomial theorm.
- No division of intervals, or angle between lines, or any of that, but there is inequalities with unknowns in the denominator.

NOTE: I am talking about both the math 1A and 1B courses as a whole , and they are fiarly similar to math1151 and 1251.

There may be one question in the tutorial problems that involves binomails or induction, but its unlikely you will need to know for the final exam.

 

[unsw-maths-guru]

BoF1 has it pretty right. The main problem is that it all comes pretty fast compared to high school. The calculus half has more abstract stuff than high school too. You'll need to know some formal definitions and theorems and be able to prove things with them (at least if you want to do well).

Math1151/1251 go a bit faster than Math 1131/41 and 1231/41. They do some several variable calculus in session 1 and quite a bit in session 2. They also do some more probability (in the algebra side of the course). It is more abstract than the probability at school - random variables and stuff. (And you'll need the binomial theorem!). Sample prob qn from last year's exam:

Let Y be a random variable modeling the price of an asset at a certain
time in the future. A financial derivative has payoff
M = max(Y − 25, 0).
If Y is normally distributed with mean 30 and standard deviation 2,
calculate the probability that the payoff is 0.

The first half of the algebra side is mainly new - vectors, matrices, vector geometry and systems of linear equations.

 

[Bored Of Fail1]

Also, a few more things I forgot about.

There is like no plane geometry ( or possibly a little in a vectors question when they ask you prove something about a geometric figure, Peter Brown always said he liked those types of questions ) . Also there is absolutely no trigonometry or trigonmetric equations , I mean you will need to know a few basic formulas for integration but theres absolutely no solving trig eqns , seems like all the stuff done at high school was a waste lol

 

[unsw-maths-guru]

Also there is absolutely no trigonometry or trigonmetric equations , I mean you will need to know a few basic formulas for integration but theres absolutely no solving trig eqns , seems like all the stuff done at high school was a waste lol

Not sure I entirely agree with that. You'll need to use trig functions in
* calculus eg integrate sin(x)^2 cos(x)^6 (and in 2nd order d.e.'s)
* complex numbers eg find sin(x) + sin(2x) + ... + sin(nx)
* vector geometry eg what are the angles in the triangle with vertices at (1,2,3), (2,3,1) and (-1,1,-1)
These use mostly pretty basic trig manipulation, but they won't slow down to explain the 3u stuff.

 

[Bored Of Fail1]

Not sure I entirely agree with that. You'll need to use trig functions in
* calculus eg integrate sin(x)^2 cos(x)^6 (and in 2nd order d.e.'s)
* complex numbers eg find sin(x) + sin(2x) + ... + sin(nx)
* vector geometry eg what are the angles in the triangle with vertices at (1,2,3), (2,3,1) and (-1,1,-1)
These use mostly pretty basic trig manipulation, but they won't slow down to explain the 3u stuff.

no, they will never ask you to solve trig eqns, like wow they do except you to know sin^2 +cos^2 =1 ( and the other two ) and they do mention sum and difference formulas ( though these are never used, well I never came across them in math1141 and 1241 ).

They will never ask you to solve stuff like sin(x) = 1/2 or sqrt(2)cos(x) + sin(x) = 1 , they never ask you about the auxiallry angle method or the t result method, or anything really

 

[Bored Of Fail1]

hardest trig is like . The formula for the dot product is |a||b|cos(x)

here are two vectors , find the angle between them, well that does involve solving a simple trig eqn, but there is like no trig in uni maths, its a discrace.

Also, as there is like no geometry ( 2unit or 3unit geometry ) , I have nearly forgotten it all, same with perms and combs , and too a lesser extent binomials

 

[Tazzz]

hey just wondering is 3u calculus eg. harmonic motion needed for math 1151

 

[Bored Of Fail1]

not directly, though you will come across it a little in math1251 with differential equations, and applications of differential equations, nevertheless no need to go over it completely , you just need general knowledge

 

[unsw-maths-guru]

They will never ask you to solve stuff like sin(x) = 1/2 or sqrt(2)cos(x) + sin(x) = 1 , they never ask you about the auxiallry angle method or the t result method, or anything really

MATH1151 Q25(a) Find sin^(-1)(sqrt(3)/2)

or perhaps

Q30(a) Show that 2 tan^(-1) 2 = pi - cos^(-1)(3/5)

(Of course if you want something more challenging you might get to 2nd year where they solve sin(z)=2 )

 

[Bored Of Fail1]

MATH1151 Q25(a) Find sin^(-1)(sqrt(3)/2)

or perhaps

Q30(a) Show that 2 tan^(-1) 2 = pi - cos^(-1)(3/5)

(Of course if you want something more challenging you might get to 2nd year where they solve sin(z)=2 )

For starters that comes under inverse functions, and even so there is little trigonmetry in it.

I reckon someone with 2 unit knowledge of trig ( or even no trig knowledge ) could quite easily get 80 in both math1A and B , there is very little trig

no sin , cosine rules, no area of triangle A= (1/2)absin(C) , no bearings, no 3d trig

 

[unsw-maths-guru]

For starters that comes under inverse functions, and even so there is little trigonmetry in it.

...what ever it comes under, it is definitely asking you to solve "something like sin(x) = 1/2".

I reckon someone with 2 unit knowledge of trig ( or even no trig knowledge ) could quite easily get 80 in both math1A and B , there is very little trig

no sin , cosine rules, no area of triangle A= (1/2)absin(C) , no bearings, no 3d trig

You are right that they are not trying to redo the stuff that you did at school. They are trying to show you that vector methods are better than doing straight trig for many problems. Most of the things that you list here are not taught in uni maths, but I used all of them at some stage or other in doing 1st year problems. The cosine rule is proved right at the start of the material on dot products, to justify why angles in n-dimensions are defined the way they are.

If you get to 2nd year you'll still need to be able to do these things to do 3-D calculus problems like finding the centre of mass of the body above the cone z^2 = sqrt(3)(x^2+y^2) and inside the sphere x^2+y^2+z^2 = 4.