Information about Enrique - Mudgee tutor
This is how 3 referees rated Enrique:
More than a decade ago, I was active in the Extension 2 forum of The Bored of Studies Community: 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 had finished top in NSW for Extension 2 in their respective years. Together, we formed a tag team, helping out students prepare for trials and the HSC- indeed, the Ext2 Forum then, was our Facebook!
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 include 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 now, it could be better: through skype, and a shared screen whiteboard.
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)
Are you time strapped? Do you want to master the course efficiently, so that you have more time for the other subjects? Would a couple of extra ATAR points mean getting into your dream uni course? Do you want a top university qualified 5 star tutor (Imperial College consistently ranks in world's top ten)? Do you hate wasting time and money commuting? Do you want that secret edge over your classmates? Do you want a contract free, flexible tutoring service?
Let's embrace the future, save the environment, and go online! Confidentiality and Security, in the Privacy and Comfort of your home.
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. Another definite advantage, online shared whiteboard has over face-to-face : all notes and discussions are downloadable, in fact I will be emailing them to you on the day.
I want to invite Extension 1 and Extension 2 students to be expertly coached by me, on skype with a shared screen, doing the topic and questions of your choice. 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, in the comfort and security of your 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.
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Additional Languages: English
Availability: Weekends / Weekdays (all times)
References Available: Yes (✔ On File)
- SRI International (Stanford Research Institute) (1980) - International Fellowship (Professional) (✔ On File)
- London University (1974) - BSc Mathematics (hons) (Bachelors) (✔ On File)
- Imperial College London (1974) - Associate of the Royal College of Science (College) (✔ On File)
- St Joseph's College, Ipswich, Suffolk UK (1971) - GCE A Levels (College) (✘ Not On File)