In some math subjects (not MATH1131/1141), they do cap the maximum mark of lower subjects. But for maths subjects with lower and higher versions, most of the high distinctions they allocate are for higher version students (due to the quality of these students). So if you are good at maths...
LOL monday:
Red centre (Lower campus) -> Matthews (Upper Campus) -> Keith Burrows (Lower campus) = good exercise
But like braintic said, they start around 5 past and finish at 5 to.
TIP: Find out where your rooms are BEFORE the first lecture... Rex Vowels is pretty hard to locate if you...
Easier way than distance formula:
Remember the fundamental fact of the parabola:
distance from any point on the parabola to the focus = perpendicular distance to the directrix. Noting directrix is y=-a, so:
PS = distance to focus = perp. distance from P to directrix = ap^2+a (draw a diagram...
sqrt(f(x)) by definition is always positive, so if g(x)^2=f(x), then sqrt(f(x))=|g(x)|
Consider a numerical example:
2^2=4 also (-2)^2=4
but sqrt(4)=2 = |-2| =|2|
rather g(x)=+sqrt(f(x)) for some values of x (in this case x>=1), -sqrt(f(x)) for other values of x (in this case x<=1)
First year maths course => Do MATH1131/MATH1141 (1141 if you want to major in Physics and computer science) - for more information, go to unsw maths website
If you major in physics and computer science you may need to do MATH1231/MATH1241 as well. If you want to do computer science, do MATH1081...
+sqrt(f(x)) must be greater than or equal to 0 for ALL x.
So:
+sqrt(f(x))= +sqrt((x-1)^2))/(x+1)^0.5
(x+1)^0.5 is always positive by definition
Consider +sqrt((x-1)^2) <-- this must be greater than or equal to 0 for ALL x.
So if x-1>=0, then +sqrt((x-1)^2)=x-1
If x-1=<0, then 1-x>=0 and...
Only consider vertical direction (up/down) as you will not deal with any horizontal forces in projectiles.
It actually does not matter which direction is positive, as you just label anything going opposite to that direction to be negative. But for convenience sakes, do as you have said.
in order to have honours in stats, you need to major in stats first. read the below link for possible plans, and go through the maths courses page on the maths website to see what courses you need to do for each major.
http://www.maths.unsw.edu.au/students/current/program3523.html
Arts:
- More interesting than commerce
- learn some languages
- Cheaper to do arts courses than commerce courses
- Allows you to take up education courses if you decide you want to teach
Commerce: recommended majors (Finance, Actuarial studies)
- Gain some background knowledge if you decide...
Suppose y=0, then z+1/z=x+1/x=k
so |k|=|x+1/x|=|(x^2+1)/x|
we use the basic inequality of x^2+1>=2x (Based on (x-1)^2>=0)
Then |k| = |(x^2+1)/x| >= |(2x)/x|=2 so |k|>=2
Suppose x^2+y^2=1:
Then |x|<=1 (as x and y are real numbers)
so subbing (x^2+y^2=1) into the equation for k will give...
(a) Let P(x)=px^4+qx^3+rx^2+sx+t where p, q, r,s, t are real
P(a)=0 implies pa^4+qa^3+ra^2+sa+t = 0
Show P(conj(a))=0
Sub into P(x), use the fact conj(a^n)=conj(a)^n, pconj(a)=conj(pa) if p is real.
try it yourself