Happy Cornetto-Crunch-Ben&Jerrys-Magnum Day!

Dear 10S7F,

Thanks for the sweet surprise yesterday! I like the card very much though I would have loved to hear more from you all. Maybe a minimum of 500 words each, next time?! Haha. May the melty-sweet flavour of friendship be always with you all.

Cheers,
Mr. Tan

Printers

Wasted 20+ pieces of paper to print EoM... Emotions can be summarised in this comic:

http://theoatmeal.com/comics/printers

Lesson learnt, do not do last minute printing XD

Anyway I have changed the theme to accommodate larger image. Hope you like it!

Cheers,

Shi-Jie

Perhaps some tips on Economics essay?

I was chatting online with the a senior for some tips. He threw me this essay question:

"In 2007, the Singapore economy grew at 7.8%, goods and services tax went up from 5% to 7%, and there were active campaigns on healthy living.

Assess the likely effects of the above changes on consumers' expenditure on fast food."

Take 5 minutes to plan for an outline. In fact, I suggest MORE than 5 minutes... This was the killer question for last year's promos.

Ready to see the answer?

My initial response was:

talk about demand and supply factor

economic growth -> increased income

positive income elasticity -> increased demand

increased in service tax -> decreased supply

large extent as supply very price inelastic, tax incidence

active campaigns -> change in taste of preference

decrease demand

conclusion: demand shift less than supply, quantity demanded drops

_________________

Looks like a two page, chop chop essay. How wrong was I.

This senior took 1 hour and 15 minutes to write a 4 page essay on this question. He scored 20/25.

The key lies in the word EXPENDITURE. EXPENDITURE not QUANTITY DEMANDED or mere CHANGE IN PRICE.

Expenditure is price times quantity. You are supposed to look at the area under the graph. The emphasis is on the elasticity.

His other remarkable points:

Talk about different price elasticities for different income groups

Campaigns introduces substitutes such as organic food

Fast food restaurants also coming up with healthy packages

Ad Valorem tax leads to a PIVOTAL shift, hence making supply more price inelastic

etc etc...

Of course, unless you are as god-like as him, it is unwise to burn 1 hour and 15 minutes for an essay. Hope that I post this in time for you guys to warm up (err not fry) your brains.

Moral of the story: Open your eyes BIG BIG tomorrow

Cheers,

Khor Shi-Jie

Last Minute Mugging...

Trouble keeping your eyes away from facebook, world cup, etc.? Try using this nifty application:

Focus Booster: The Pomodoro Technique

Err... well alternatively you can use a stop watch too XD

Cheers,

Khor Shi-Jie

If you hate integration like I do...

I guess everyone is busy mugging for blocks (and hence the hiatus of the blog ><). But anyway, let me share a shortcut with you guys...

The killer topic for Math block test is definitely INTEGRATION, and we know it sucks for many reason. The most tormenting part, IMO, must be integration by parts. Personally I hate writing long long expressions, moving bulks of expressions here and there, then end up in a zzz careless mistake.

Let me introduce a shortcut which is super useful and easy :) This technique is known as tabular integration by parts.

Suppose you want to solve Not an easy task, if you have tried it in your tutorials. In this technique, we still apply LIATE and let u be x^3 and v' be cos x. Now create a table and write:

Derivatives of u (Column A)	Integrals of v (Column B)

Such that column A represents the subsequent derivative of u and column B represents the subsequent integrals of v. Repeat this until you can no longer continue, for instance when u arrive at 0. Now, the answer is simply:

Which is arrived by pairing the 1st term in A with the 2nd term in B , the 2nd term in A with the 3rd term in B, the 3rd term in A with 4th term in B, etc. Take note of the ALTERNATING sign in front of each terms too.

Another example:

Derivatives of u (Column A)	Integrals of v (Column B)

Then,

Which can be solved easily to yield:

Visit http://en.wikipedia.org/wiki/Integration_by_parts#Tabular_integration_by_parts for more information. My senior used this and saved a lot of time. However, do show your full working still (I can't guarantee that your tutors will accept such cheapskate method). Use it wisely and pwn the block test :P

Cheers,

Khor Shi-Jie

NUS High (Y)

Hwa Chong has clock tower, 天下之马, 黄城, Tan Kah Kee statue, etc...

What about NUS High?

Try interpreting their attractions...

See the shape of their periodic table?

Guess the constellation...

See the striking similarities with HCI

Random chemicals on the ceiling

Sine wave or cosine wave? (can't make sense of the black tiles yet... maybe it represents 3.142. or 2.718?)

This is epic... anyone can guess what it represents? (...nosaer a rof llaw ip sa nwonk si tI :tniH)

Have fun appreciating the beauty of science in NUS High XD!!

Cheers,

Khor Shi-Jie

Take a break from GPP

These are highly Educational, Productive, Informative and Cognitive videos (read: EPIC). I feel obliged to post these funny math videos on the blog, so enjoy :)

(Oh, the third one is a must watch XD)

Cool Math Trick

Mathematicious

Best Math Teacher Ever

Cheers,

Khor Shi-Jie

Apparently someone is too rich...

No prize for guessing what this vending machine sells...

Cheers,

Shi-Jie

ECONS ILP submission

Please bring what you use to store your soft copy product or written report for ECONS ILP tomorrow(Friday). This is encouraged if your file size is very huge and deter you from emailing your work to me. Then probably you can transfer to a disc during lunchtime at the library. Please save all your files into a compressed zip folder and name it (with your group memeber names) for easy identification and so that the contents of the disc would not be mixed up and be a bit messy(trashy).
Alternatively save your file onto a disc beforehand(like tonight) and just pass the disc to me tmr.

And hand in any hard copy products as well. I think you are supposedto submit them tomorrow.

thank you for reading
sengpeing

Amazing Art

Wonder if you guys have seen this before. Never fails to amaze me every time I watch it.

Cheers,

Khor Shi-Jie