Online Tutor in Maths
(6 student reviews)
More than a decade ago, I was active in the Extension 2 forum of Boredofstudies: I was OLDMAN. Here's an example of a thread where OLDMAN mixed it up with the original legends of that forum, a couple of them finished top in NSW for Extension 2 in their respective years..
Posted by Grey Council on 13th March 2004 11:43 PM:
Prove that (|z| - iz)= -i(sec@ + tan@), where r(z) =/= 0 and arg z = @.
Anyway, if you can do this one, you are a genius. If you aren't a genius, don't even attempt it.
Posted by McLake on 13th March 2004 02:53 AM:
*Brain explosion* Let Keypad, turtle, OLDMAN or spice girl answer it ...
Posted by OLDMAN on 14th March 2004 04:56 AM:
Did someone call my name? Question 4 could also be approached geometrically : indeed, when looking at a hard Complex Numbers or Conic Sections problem, see if it can be resolved geometrically.
Treat |z| as a real complex number in the Argand plane. Now, |z| - iz and |z| + iz will be two points on the plane with midpoint |z|. Distances from |z| to O, |z| - iz, and |z| + iz are all equal to |z|. Thus these three points lie on a circle, radius |z|, and vectors |z| - iz and |z| + iz subtends a right angle. There will be a couple of isosceles base angles... and you will find that tan(45+@/2) will be the ratio |(|z| - iz)/(|z| + iz)|, which is equal to sec@ + tan@.
Posted by CM_Tutor on 14th March 2004 05:39 AM:
OLDMAN, that is a really elegant geometric approach. Have you see this before, or did you just see that that would work, and if you did, what tipped you off?
Posted by Grey Council on 14th March 2004 08:06 AM:
Thank you, to all those who replied. Whoa! OLDMAN, very elegant solution. If I sat there thinking for a thousand years, I doubt I would have thought of it. I hope Keypad is taking notes!
Oh, don't you worry about OLDMAN, that guy is a berloody genius. An absolute ocean of knowledge. Go and search for the questions he put up just before the hsc extension 2 maths exam last year.
Posted by abdooooo!!! On 26th March 2004 04:44PM:
OLDMAN is scary! so scary !
Above shows that a near perfect mathematical discussion is possible without voice nor even a blackboard: a really hard problem involving complex numbers, vectors, geometry and trigonometry. But it could be better: through skype, and a shared screen whiteboard.
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Yes, there is a small dip in communicating ability compared to face-to-face, but the advantages more than make up for it.
Really good chess players don't need a board to imagine a game; in the same way, smart students readily grasp concepts and explanations with the minimum of fuss.
I want to invite Extension 1 and Extension 2 students to be expertly coached by me, on skype with a shared screen. If you do Maths Advanced, do still get in touch. What about younger students? Parents of mathematically gifted yr 10 or 9's ,may want to consider accelerated coaching, online, at home: do the massive 2 year Extension syllabus in say 3 or 4 years- no reason why these young students can't earlier master Circle Geometry, Perms and Combs, Series, Polynomials or 3D trig. University students too may want to get in touch if they need help with Linear Algebra (vectors and matrices) or Differential Equations for example.
For over 15 years I have dedicated myself to helping students achieve better and higher results as a full time mathematics tutor. No lock-in contracts, flexible delivery, full availability (utilize a free period or arrange extra sessions when needed)
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- Maths - Secondary, Tertiary
Sydney and NSW
16 years tutoring Maths full time. Complete mastery of Mathematics at all levels -General Maths, Advanced, Extension 1 and 2. Over 16 years I have tutored one in two duxes of Mudgee High School.
Bachelor of Science Mathematics, University of London; Associate of the Royal College of Science, Imperial College London; Operations Research Fellowship at the Stanford Research Institute.
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Profile last updated on 23-May-2017 (registered 25-Jul-2014)