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Maths tutor available (AMOC/NMSS tutor) (1 Viewer)

Templar

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Need last minute tutoring for HSC? Preparing ahead for HSC next year?

I am currently a third year science student majoring in (pure) maths. I am willing to tutor all levels of high school maths. I completed the HSC in 2004 and achieved 94 in both ext 1 and 2 maths. In addition I've also achieved, as a student, bronze in the 2004 Australian Maths Olympiad and invitation to National Maths Summer School in 2004 and 2005.

As a tutor, I have been working as a mentor in the AMOC Correspondence Program since 2005, having guided numerous students in the program to gold and silver in the AMO. I have lectured to high school students on maths at AMOC schools, and have been tutoring at National Maths Summer School since 2007.

In addition, I have ample experience in private tutoring, having tutored no less than 10 students in the past 12 months, with a significant improvement in results for almost all students.

I am willing to tutor around the Inner West and around Camperdown (I am willing to travel a bit), and I charge $35/hour. Please PM me if you're interested or need more details.
 

A High Way Man

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If you think you're good at maths then do this question

Find the point on the straight line 2x + 3y = 6 which is closest to the origin.
 

Templar

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A High Way Man said:
If you think you're good at maths then do this question

Find the point on the straight line 2x + 3y = 6 which is closest to the origin.
I personally don't see what's the point of posting that, but anyway:

This point will be connected to the origin by a line perpendicular to the given line. So all you need to do is find that perpendicular line and solve for (x,y), which turns out to be (12/13, 18/13)
 

108796

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hey yinan,

who are the tutors at NMSS 08? and the EG tutor?

btw ppl looking for a tutor, this guy's pretty good at maths.
 

Templar

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dark.deceptionz said:
who are the tutors at NMSS 08? and the EG tutor?
Biography should get to you soon. As for the EG tutor, your guess is as good as mine.
 

danielbarter

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A High Way Man said:
If you think you're good at maths then do this question

Find the point on the straight line 2x + 3y = 6 which is closest to the origin.
If you mean intiger point:

2x + 3y = 6
2x + 3y = 6 (mod 3 )
2x = 6 (mod 3)
2 and 3 are coprimes
x = 3 (mod 3), y = 0

or


2x + 3y = 6 (mod 2 )
3y = 6 (mod 2)
2 and 3 are coprimes
y = 2 (mod 2)
x = 0

The closest intiger point is (0,2)

If you mean the closest real point:

Consider the two equations

2a + 3b -6 = 0
2c + 3d -6 =0

2(a-c) + 3(b-d) = 0
But this is equivilent to the dot product of the vectors (2 3) and (a-c b-d)

as the dot product equals zero, the vector (2 3) is perpendicular to the vector (a-c b-d) which runs along the given line.

Therefore the line y = 1.5x pass through the origon and is perpendicular to
2x + 3y = 6

Solving these two equations simultaneously gives the point (12/13 , 18/13).

Templar said:
This point will be connected to the origin by a line perpendicular to the given line. So all you need to do is find that perpendicular line and solve for (x,y), which turns out to be (12/13, 18/13).
Correct :D
 
Last edited:

xiao1985

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templar's smart indeed...

you thinking of doing chem honour next year templar? (hiding recruiting intention)


free bump for ya
 

Templar

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xiao1985 said:
(hiding recruiting intention)
What makes you think you will succeed when Lou Rendina, Meredith Jordan and various other staff in the department have failed? :p
 

Slidey

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Templar is A++. Highly recommended!
 

A High Way Man

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What is the thickness of a thin film (n = 1.58) when it is put over one slit of a double slit arrangement with light wavelength = 550nm incident to it. On an adjacent viewing screen, the 7th order bright fringe appears in the center.
 

Omium

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A High Way Man said:
What is the thickness of a thin film (n = 1.58) when it is put over one slit of a double slit arrangement with light wavelength = 550nm incident to it. On an adjacent viewing screen, the 7th order bright fringe appears in the center.
2.00000576nm
 

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