Math Blog

Buy Math Notes with Exam Papers

We are selling Math Short Summarized Notes, and giving away Free Exam Papers bundled together! These two complement each other, the Short Condensed notes will help when doing the Exam Papers, and practice makes perfect for Maths.

Check out the Highly Condensed Math Notes at: https://mathtuition88.com/math-notes-worksheets-sale/

Currently, we have 4 products:

  • Highly Condensed E Math Notes (Bundled with E Maths Prelim Papers)
  • Highly Condensed A Math Notes (Bundled with A Maths Prelim Papers)
  • Chicken and Rabbit Worksheet Generator (Bundled with PSLE P6 Prelim Papers)
  • Multiplication Worksheet Generator (Bundled with Primary 4 Exam Papers)

All of them can be accessed from this page: https://mathtuition88.com/math-notes-worksheets-sale/

Many times, it is possible to be stuck on a Math Problem. I have personally been stuck on Math Problems many numerous times, for instance when doing the Math Problem of the Month! When you finally discover the solution by yourself, the feeling of accomplishment is like pure nirvana. There are some books that specifically address How to Solve Math Problems, one of them is How to Solve It: Modern Heuristics. Very highly rated on Amazon, this book describes modern methods to solve heuristics and optimization problems (suitable for students interested in Computer Science). Another well written book by Polya is How to Solve It: A New Aspect of Mathematical Method (Princeton Science Library). This book is suitable for students who like challenging math problems to train their mathematical skills!

Page keywords: Buy Exam Papers Singapore, Buy Test Papers, Buy Prelim Papers

 

 

20% Discount on the following Math Resources!

I have recently revamped my Math Resources for Sale page, currently there are 6 products for sale! From the wacky Chicken and Rabbit Question Generator, to the very serious Highly Condensed Notes series for students preparing for exams!

For a limited time only, there is currently a 20% discount promotion on all the products on the page!

10% Discount Code: ilovemath

(This Discount Code is only known to my website viewers! :))

10% Social Discount: Tweet or Share on Facebook to get another 10% Discount

Do check out the Math Resources for Sale page!

 

Is there a set of 2015 consecutive positive integers containing exactly 15 prime numbers?

Check out this intriguing Math Olympiad Number Theory question: Is there a set of 2015 consecutive positive integers containing exactly 15 prime numbers?

For instance, the number of primes in the set {1,2,3,…,2014,2015} is 305. This can be computed by entering \pi (2015) in WolframAlpha.

The solution to this problem can be obtained at: http://www.fen.bilkent.edu.tr/~cvmath/Problem/problem.htm (February 2015 Problem of the Month)

 

To learn more about techniques for Math Olympiad style questions (including Number Theory and more), check out this book Mathematical Olympiad Treasures by noted author Titu Andreescu. Truly a treasure trove of useful tips and techniques.

GR0568 Q2 Solution (Tangent to Graph)

This is indeed a GRE Math question that even high school students can solve!

Q2) Which of the following is an equation of the line tangent to the graph y=x+e^x at x=0?

(A) y=x
(B) y=x+1
(C) y=x+2
(D) y=2x
(E) y=2x+1

Solution:

Firstly, at x=0, y=0+e^0=1.

\frac{dy}{dx}=1+e^x=1+e^0=2

Substituting these values into y=mx+c, we get

1=2(0)+c, hence c=1.

Thus, the equation is y=2x+1.

Answer: (E)

By the way, recently someone purchased a set of Copic Markers 36-Piece Sketch Basic Set from my website. Thanks! I was curious why a set of Copic Markers cost a whopping $150 USD, and thus went online to research. It seems that Copic Markers are one of the best markers on the market. If you are into animation / illustration, or just love drawing, Copic Markers will be the perfect choice. The difference between Copic Markers and ordinary markers is that Copic Markers are alchohol based, while usual markers are water based. Alchohol based markers mix better and can create rich blends, unlike water based markers which tend to oversoak the paper while blending.

GR0568 GRE Math Test Solutions

I have decided to post some solutions to the GRE Mathematics Test Sample Practice Past Year Papers that are available online. Hope it helps!

The GRE (Graduate Record Examinations) Mathematics Test is a standardized test by the company ETS (Educational Testing Service), and meant for students considering PhD in Math in the United States.

Question 1) In the xy-plane, the curve with parametric equations x=\cos t and y=\sin t, 0\leq t\leq\pi, has length

(A) 3
(B) \pi
(C) 3\pi
(D) \frac{3}{2}
(E) \frac{\pi}{2}

Solution:

Using the integral formula for arc length, \displaystyle s=\int_0^\pi \sqrt{(\frac{dx}{dt})^2+(\frac{dy}{dt})^2}\ dt, we obtain

\displaystyle \begin{aligned}\int_0^\pi \sqrt{(-\sin t)^2+(\cos t)^2}\ dt &=\int_0^\pi 1\ dt\\ &= \pi\end{aligned}

Thus, the answer is option (B).
Do check out this book Cracking the GRE Mathematics Subject Test, 4th Edition for more information about the GRE Math Subject Test, and how to crack it! It contains valuable and concise information on the topics tested in the GRE Mathematics Test.

 

Exciting New Math Course at Probability, and Book by Eccentric Mathematician

Recently, I just finished my Coursera course on Cryptography, and I have started a brand new course on Probability. This is a rather introductory course on Probability, probably at the junior undergraduate level. However, looking at the course syllabus, later on in the course some deeper aspects of probability will be taught.

Welcome message from the Probability team:

Thank you for signing up for Probability!  This is a beguiling subject with a fascinating historical tradition and vibrant modern applications.  We are delighted that you are joining us in this journey of exploration.  And you are entitled to bask in the warm light of the realisation that you are one of the pioneers in a novel form of online learning!

Class has already begun, so please join us.  We are looking forward immensely to our journey together!

Best wishes,
The Probability Course Team

The course is based on the book by Professor Venkatesh: The Theory of Probability: Explorations and Applications. Rated 5/5 on Amazon, this book is a good read, and covers many aspects of probability theory.

Another new Math book on the international scene is Birth of a Theorem: A Mathematical Adventure by the eccentric French Mathematician Cédric Villani who received the Fields’ Medal in 2010. It contains the story of his life,  his favorite songs, his love of manga, and the imaginative stories he tells his children.

Cédric Villani

 

 

The Useless Number

In this exciting video, the “Useless Number” refers to complex numbers, which were first thought to be useless when first discovered. However, nowadays everyone knows that complex numbers are very useful in engineering, physics and science!

Also, check out these related posts on complex numbers:

An interesting book about complex numbers is An Imaginary Tale: The Story of [the Square Root of Minus One] (Princeton Science Library). Styled like a storybook, this book tells the history of the imaginary numbers, which was discovered as early as during ancient Egypt. However, people didn’t realize the immense usefulness of complex numbers until much later. Click the image below to read more!

Interesting but Hard to Understand Math Comic

Check out this interesting comic riddle from Spikedmath.com! The sky is the limit when it comes to Math!

Do give it a try, before scrolling down to view the answer.

Featured Amazon Product:

Buy yourself a gift from Amazon! Amazon Gift Card – Email is an excellent way to send a gift for any memorable event.

Answer: sky

First, we use L’Hopital’s Rule since the initial limit is a 0/0 indeterminate form.

\displaystyle \lim_{x\to k} \frac{sx^2y\sin (k-x)}{k^2-kx}=\lim_{x\to k}\frac{2xsy\sin (k-x)-sx^2y\cos (k-x)}{-k} (We have also used the product rule and chain rule in this step)

Substituting x=k into the expression, we get \frac{-sk^2y}{-k} which is equivalent to sky.

 

New Math Popular Books

It is written in Japanese, translated in Chinese (Taiwan).

tomcircle's avatarMath Online Tom Circle

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結城 浩(1963 -) is a Japanese Math Popular Book Writer for Secondary and High School students. In the “Galois Theory” (Chapter 10) she boldly attempted to explain to them such complicated concepts: Quotient Group, Field Extension, Group Order, Normal Group, Solvable Group …

http://m.ruten.com.tw/goods/show.php?g=21437146332387

http://www.nh.com.tw/nh_bookView.jsp?cat_c=01&stk_c=9789866097010

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Education/Math/Science Niche Website Directory

I have recently created a Education/Math/Science Niche Website Directory at: https://mathtuition88.com/education-website-directory/.

Currently, it is free to submit to this directory! (Just need to provide a link back to our website.) Benefits of submitting to this link directory include a valuable dofollow backlink from our Page Rank 4 website, mathtuition88.com. Basically, Page Rank determines how high your website is ranked on search engines like Google. The more quality backlinks a site has, the higher the website’s Page Rank, and the higher it will rank on Google. Ranking on the first page of Google is an incredible way of getting organic and highly targeted traffic from the search engines.

The blog directory will be only accepting Education/Math/Science websites hence it is a niche blog directory. Evidence have shown that blog directories which are reviewed and curated, and from a niche topic is highly beneficial to SEO (Search Engine Optimization). Furthermore, Page Rank from our blog will add to the links submitted, and raise the Page Rank of the websites listed on the Blog Directory, and also vice versa.

Hence, do submit to this directory if you are interested to boost your search engine rankings, and have more people find your blog or website. 🙂

Also, do check out our latest blog posts:

Finally, if you are using Android or Amazon Kindle, do check out this free Math app MathOpen Cool Math Kids Game. Preschool to 5th Grade. It has cool Math games and exercises for children aged preschool to 5th Grade.

Also, wishing all my readers from Singapore, China, and Hong Kong (and all other Chinese readers) a very happy Chinese New Year!

 

 

Driving Schools

Today we will introduce two driving schools for the benefit of our readers who live in Canada. Canadians are one of the top 10 countries who read our blog!

One of them is Driving school in Mississauga. Located in the city of Mississauga, one of Canada’s rising cities, this driving school has patient and friendly instructors. Learning driving is just like learning any subject, it requires patient and friendly teachers to make the whole process more enjoyable.

The next school is a Driving school in Kitchener. Also nicely located in Canada, this driving school teaches how to drive safely under winter conditions. Just like in Math, students need to know how to prevent careless mistakes, as road accidents can be deadly.

In case you need to know the address about where to find those Driving schools, I have provided the addresses below. Hope it helps and have fun learning driving!

Ultimate Drivers – Driving School Mississauga
3173 Erindale Station Rd #101
Mississauga, ON
(905) 848-6565

Ultimate Drivers – Driving School Kitchener
301 King St E #319, Kitchener, ON N2G 2L3
(519) 954-2266

Fun IQ Math

tomcircle's avatarMath Online Tom Circle

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7+2+5 = ?
(Test the logic pattern)

Ans: (Scroll below — only after you have tried to solve it )
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7+(2)+5= 143547
7×2=14
7×5=35
14 + 35 – (2)=47

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Free Audiobooks by Amazon (Audible)

Are you a auditory learner? (one who learns best through hearing) Do you wish you could listen to some books on your long journey to work or school? Try Audible and Get Two Free Audiobooks! Audible is a company owned by Amazon, and a provider of audio books.

Some other interesting blog posts you may want to check out are:

I have also set up a page to promote Singapore Math Books hopefully to a global audience!

Mental Math

tomcircle's avatarMath Online Tom Circle

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No equation, no formula, no calculator, no writing on paper, just do mental calculation.

What is the answer  in the last diagram ?

Scroll down to see the answer, but not until you have tried yourself.
(There are many methods, but one is the fastest and the best !)
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Ans:
Add the first 3 diagrams: 10+20+24 = 54 for 2x (Dog + Cat + Rabbit).

Dog + Cat + Rabbit = 54/2 = 27

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The Mystery of the Sine of Nines, and a Math Olympiad question whose answer is 2015

Here are some of the latest updates back on http://mathtuition88.blogspot.com.

These two are highly recommended to view: The Mystery of the Sine of Nines, and a Math Olympiad question whose answer is 2015.

By the way, if you are looking for a good iPhone 6 case, do consider the iPhone 6 Case, Spigen Slim Armor Case for iPhone 6 (4.7-Inch) – Metal Slate (SGP11169). I just purchased it from Amazon, and it is working well. Looks quite good quality too. By the way, buying from Amazon is much faster than buying from the Spigen Singapore website. (see the reviews of the Spigen SG Website at Hardwarezone) Amazon delivery is always fast and reliable, even when shipping from a faraway place like the US.


iPhone 6 Case, Spigen Slim Armor Case for iPhone 6 (4.7-Inch) – Metal Slate (SGP11169)

Mental ‘Abacus’ Calculation Technique

tomcircle's avatarMath Online Tom Circle

Amazing calculation technique of Indian kids:

It is the advanced level of abacus calculator, where the physical abacus is replaced by a virtual abacus in the mind — see the kids need to move their fingers in the air, as if they touch a real abacus. This is different from the mental calculation sans a real electronic calculator, in which case no fingers playing the pressing buttons of an electronic calculator.

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Logic or ‘Think Out of the Box’

tomcircle's avatarMath Online Tom Circle

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How nice it would be if yesterday were tomorrow, then today would be Friday.

What is ‘today’ here ?

Answer:
A. Wednesday;
B. Thursday;
C. Friday;
D. Sunday

Hints:
either use left brain (by logic) or
right brain (by EQ, after a Sunday evening).

Try before scrolling below for answers:
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Answer (1) : by logic (algebra)
Today = Wednesday

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Let today = d
If d-1 = d+1 (yesterday = tomorrow)
Then d = d+2 (today = the day after tomorrow)
and d+2= 5 (today =…

View original post 40 more words

Crows Are Problem Solvers

tomcircle's avatarMath Online Tom Circle

Are crows the ultimate problem solvers?

Scientists have also discovered crows can count up to 3. Weren’t human primitives so too ? In Chinese, English, French, etc, anything upto 3 is equivalent to many.

Crows are ugly black birds, found commonly in the hawker centers here scrounging left over food on the tables or rubbish dumps. They are good children with strong filial piety, bringing food back to feed old parents. Below is a Tang dynasty poem by Bai Juyi白居易 (800AD) praising the crows:

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Building a strong career in Logo Design

This is for student inclined in arts and graphic designing. Hope it is helpful! 🙂

Building a strong career in Logo Design

Before you seek to make a career in logo designing, you should determine whether your interests and skills are aligned to those required for a logo designer. The following are the basic interests and inclinations that a logo designer should have:

  • Superior ability with the use of Photoshop, Adobe Illustrator and other graphic design software suites
  • Ability to concentrate on work that needs visual precision
  • Interest in working with computers and employing your creative abilities in the process
  • Ability to hold concentration on a single task for long periods
  • Excellent communication skills to gain understanding of client requirements and project needs
  • Interest in a career that gives the flexibility of formal or self-employment

Skills necessary for a career in logo design

There is a set of skills that will ensure that you perform the best in your career should you choose to pursue logo design. The core point of having these skills is to be equipped to work competently, combining natural abilities with school knowledge and in-field experience.

Design skills – Logo designers will tend to have an artistic inclination, with the flare for design in particular. Aside from that, they should be equipped with operative knowledge of graphic design software such as Photoshop, and Adobe Illustrator, among others.

Communication skills – it is important to have the skills required to gain a comprehensive understanding of client or employer requirements, and for that you’ll need superior communication skills. You also should be able to explain clearly why each design element was chosen over other options. If you’re a freelancer, communication skills will be invaluable when you are building networks and selling your business to potential clients.

Business skills – logo design is a very business oriented field. As a freelance logo designer, you should have the skill to build various aspects of your business, including marketing yourself to new clients, maintaining relationships with existing clients and having the time management and planning skills to coordinate multiple projects within the time and budgetary allocations for each project. You should be able to plan your finances also so that you can grow your business and knowledge.

Practical/physiological abilities – A logo designer will probably spend a good portion of their life staring at a computer screen. You should be physically and mentally prepared to put in the long work hours and have a long concentration span. Your eyesight should also be very good, since logo design demands a high level of precision.

Personality traits – There are certain demands of the Logo Design profession that should be ingrained in your character to help you succeed in your career and live through the various challenges presented on the job:

  • Innate creativity and passion for design
  • Willingness to keep yourself informed on the changes in the industry, and learn new skills that are required to remain relevant
  • Precise and unerring attention to detail, so that you can present work that you and your client are proud to own and display
  • Discipline to plan and deliver projects on time and within budget, especially when you have the flexibility of being self-employed or working from home

Author Bio

John Lewis has 5 years’ experience in logo design at http://bigdropinc.com/. For more information and guidance on logo design and to view and receive top reviews for design work, contact us below

 

Career Tips for Shaping the Career as a Digital Signage Reseller

Lately we have a lot of posts on Career Tips specially for students who have just graduated and are looking at career options. Hope these posts will help!

Career Tips for Shaping the Career as a Digital Signage Reseller

Digital signage can be a great advertising and promotional tool. You can choose your profession as a retail digital signage reseller and can earn handsome salary. Here are some tips for shaping a career as a retail digital signage reseller.

Know The Benefits: You need to know all the advantages of the digital signage before thinking about the career in this field. With low printing costs, the digital signage has gained a lot over the traditional print advertisement. With the large multinationals, the small as well as medium enterprises are also entering into the digital signage world. If you are aware of all the advantages, you will be able to promote your products and re-sell them in different organizations.

Consumer Behavior: The buying behavior of the consumers is important to know if you have decided to choose this profession. The market including the restaurants, food joints and other take-away counters can simply convert their print media into the digital mode of advertisement. Therefore, the operation activities require proper skill and personnel. The messages should be compelling and attractive to the consumers. So, the behavior of the consumers is required to be categorized in the right direction. If the impulse can be triggered in the right direction, the promotional messages can be targeted to the right section of the audience.

Increase Profile: The company profile and their dignity can easily be increased if the digital signage can be used to promote the advertisements. The signage cost needs to be managed properly. We at dopublicity.com provide the best digital signage cost and provide high quality digital signage.

Reach More Customers in Less Time: Local business ads can be displayed digitally through the local businesses. The big brands may not be interested in displaying their ads in any retail shop but the local brands can advertise their products locally.

Spend Smartly: If you are looking forward to a career in the digital signage, you should know the process of spending. As the digital signage allows saving paper and the print costs, it is actually a smart expenditure for a business owner. If you are acting as a reseller and promoting the factor of the smart expenditure, the business owners will easily get convinced.

Creative Displays: The advertising displays are creative as well as unique in nature. If you can use the software in an innovative way, different ideas like, using the media players and the images will easily come into your mind. Most of the screens are required to be legible 24/7 so that it creates a good impact on the audience’s mind.

Operations and Control: The operational and controlling activities can be easily managed by the skilled personnel who have studied about the profession and have chosen it as their career. Some of the companies may start the digital campaigns with their products and services and can opt for the reselling activities by hiring the knowledgeable personnel. So, when you are choosing the digital signage partners, you should be aware that they are operating and controlling in a smart way.

Knowledgeable Partner: When you have chosen your profession as a digital signage reseller, you may choose a knowledgeable partner who can provide sufficient time for your training and development.

Therefore, in every step you will have to be aware with the skills of selling the digital signage products to other companies. Before re-selling, you should have proper product knowledge with good marketing skills.

Author Bio: We at dopublicity.com provide the best digital signage cost with proper training and development to all the aspiring professionals who are interested to build their career in digital signage.

Latest Updates on Mathtuition88.blogspot.com

Just to update on the latest blog posts at http://mathtuition88.blogspot.com. I am trying to bring up the page rank for my Blogspot site, hence blogging there for the time being.

This book Why Before How: Singapore Math Computation Strategies, Grades 1-6 is surprisingly very popular. As an Amazon Affiliate, one of the most popular book I promote on my site is actually this book. It is a Singapore Math book that focuses on the “Why” before the “How”, which is very important as nowadays questions are designed to be solved using thinking, not just mechanical procedures.

 

Building a strong career in Internet Marketing

Hope this post is useful for students considering studying marketing in the future!

Building a strong career in Internet Marketing

If you want to break into the internet marketing field, there’s no time like the present. According to research, the amounts dedicated to digital marketing in enterprises of all sizes will steadily increase over the course of the next few years.

The internet marketing field is rather wide, and you’ll have to choose one or two areas you’re most comfortable with, but for all of these fields, the requirements for you in order to build a strong career and hence prove your worth to prospective clients and employers will mostly be the same.

The following is a list of five things you can do to distinguish yourself as an Internet marketing consultant, given by key players in the industry:

  • Marketing experience

A diploma or degree in a marketing related field will only go so far in honing your skill as a marketer; the more valuable education is the more experience you’ll gain working different cases out in the field. Most clients and employers look for candidates who have noteworthy marketing experience, so start building your expertise as soon as possible.

While in college, take up jobs and internships that will allow you to apply your classroom education and be involved hands-on in any marketing campaigns that come around you, no matter how small. Search for internships to occupy your holiday times while you are in school, so that you create for yourself an advantage over other recent graduates once you’re churned out into the job market.

  • Understand the field

Read everything you can in the field of Internet marketing that interests you: trends and statistics, new technologies, news, terminologies, metrics etc. You should also have a good working knowledge of all the metrics and analytical tools that are applied to the measurement of the efficacy of your campaign.

There are many methods of measuring effectiveness, so you should know as many as you can, and where each can be applied in order to add value to your client’s projects and campaigns.

  • Have an online presence

Create for yourself a vibrant online presence because all your clients will look into that before taking you on. Employers are also likely to choose the candidate with the stronger online presence when they have matching qualifications. Build your personal online brand as this may also be effective if you want to launch out and begin your own Internet marketing gig.

  • Jack of all trades, master in one

It’s good to know a little something about every field of internet marketing, but it’s better to have one or two fields that you know inside out. Distinguish yourself in areas of greatest interest, but know where and how you can find assistance in any other field if the need for it arises in the course of handling your employer’s or client’s businesses.

Begin by dipping your foot into the practical and basic aspects of everything, and then narrow down to the one you’re performing the best at.

  • Peer reviews and networks

Take advantage of all opportunities to build your knowledge and networks. Engage with peers in career fairs, conferences and other meet-up forums, and exchange ideas and experience. Also take advantage of such gathering to evaluate your work and gain tips on how they can be improved. Jealously nurture your offline relationships as you do the online relationships.

Author Bio

John Lewis has 5 years’ experience in internet marketing. For more information and guidance on internet marketing and to view and receive top web reviews for design work, contact us below

 

 

Tips to becoming an Oracle DBA

Here are some tips on becoming an Oracle database administrator. It will be useful for students interested in computer science and IT. 🙂

Tips to becoming an Oracle DBA

The Oracle database is the most sophisticated and complex database today. Knowing enough to become a database administrator is not an easy task. Oracle dataset administration is only recommended for information technology, information systems and computer science professionals who have undergone the relevant Oracle training.

The Oracle DBA’s position and salary attracts many young graduates, but few know exactly what it takes before they can earn this hallowed title in any company. An Oracle DBA is typically a senior-level manager in the smaller companies, mid-level in much bigger corporations, and their annual salaries can go as high as $ 100,000-250,000.

But the money does come with its load of responsibility – data management for the whole company, with the risk of grounding all operations with just a slight glitch. The first thing any aspiring DBA will have to remember is that database administration is just like any other profession; there’s no shortcut leading to the top.

Preparation, preparation and more preparation!

You can’t wake up one morning and decide to enroll for a DBA course, more so an Oracle DBA course. Majority of the successful DBAs in Oracle began to learn after obtaining their Bachelor’s and even Master’s degree in an IT related field. This is a career move that will require thought and plenty of preparation beforehand, and a lot of dedication after.

Oracle DBA requires 24/7 unfailing commitment, with long hours (since most of your work begins after everyone has checked out for the day) and on-call duty during holidays and other important occasions. That’s not all, as a DBA, you must keep yourself updated with every new change that comes in the Oracle and computer systems technology or you risk obsolescence.

You can now see that the Oracle DBA does earn every one of the dollars he’s paid, right?

Below is a list of qualities you should have in order to succeed in the pursuit of a career in Oracle Database Administration:

  • Communication skills

An Oracle DBA will constantly be in communication with end-users and managers to determine their data needs and act accordingly. College-level communication skills will be a must, with outstanding abilities to communicate through any medium and interpret information provided.

  • Business degree

It helps a lot if you have a college degree in business administration from a proper graduate training institution. This equips you with the foundational understanding of business systems and processes, which is required in order to best perform your job as an Oracle Applications DBA.

  • Foundational DBA skills

Prior to becoming an Oracle DBA, which is more demanding and complex, it’s recommended that you practice database administration at lower levels. Oracle has designed levels of learning for beginners, and practicing as you pursue OCA and OCM certification will be very helpful. This is because an Oracle DBA should understand other related database technologies as well e.g. Oracle Application Server and Java – J2EE, JDeveloper, Apache.

  • College classes

In preparation for a career in DBA, Operations Research is a class you want to take in your CS or IT course. This involves the development of complex decision rules and their application to real-life datasets. The back-end data store is usually Oracle, and it provides a great platform to prepare for the job setting.

Author Bio

Tom Foster is an expert in database administration. For more information on WordPress, SQL, Oracle and other database management and administration, contact the database professionals by visiting their website.

 

 

Buy New Car or Extend 5 More Years Old Car

tomcircle's avatarMath Online Tom Circle

Assumptions:
1. Class A (< 1600 cc) Old car (10 years expiring soon) is in good condition:
♢ Less than 200,000 KM
♢ Certified safe by qualified workshop

2. COE last-3-month average price ~$ 60,000 (10 years)
=> $30,000 (5 years)

3. New Car market price of $100,000

4. Parf rebate $7,000 (forfeited if extend car beyond 10 years)

5. Monthly Car Loan (@2.88% for max. bank loan 60% & max 5 years = $60k) = $1,144 (= interest + capital)
5-year car loan = $1,144 x12x5 = $ 68,640
Downpayment Cash = $40,000 (or $20,000 for 5-year Cost of Ownership )

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Compare Buy or Extension (Both 5 years)

Description Buy Extension
1. Car Price (down payment) for 5 years $20,000$…
2.COE (5-Yrs)$…$ 30,000
3. Car Loan (5 Yrs) = car price + COE $ 68,640 $…
4. Parf rebate$7,000 – $ 7,000
Cost of Ownership…

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Circle & Hidden 9

tomcircle's avatarMath Online Tom Circle

‘9’ is the biggest number in the digits {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}.

9 is reserved for the ancient Chinese Emperors whose robes were sewn with 9 dragons, and the palace roof top decorated with 9 dragons too.

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http://mp.weixin.qq.com/s?__biz=MzA3MjE0ODAzMw==&mid=204651538&idx=1&sn=33027a35921519fe42c647e1f5a4dadc&scene=1&from=groupmessage&isappinstalled=0#rd

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Free Career Analysis (With Prizes to be Won)

Free Career Analysis (With Prizes to be Won):
Are you a Careerist, Entrepreneur, Harmoniser, Idealist, Hunter, Internationalist, or Leader?

Find out by doing this Free Career Analysis by renowned survey company Universum:
http://uledge.co/ambWWCY

Thanks a lot for your help! You will also benefit by finding out your Career Personality, which is released at the end of the survey!

1st prize: Win a week-long trip to Singapore, Stockholm, or New York.

Website: http://uledge.co/ambWWCY

Latest Posts on Mathtuition88.blogspot.com

Recently, I have been blogging at http://mathtuition88.blogspot.com. Here are the latest posts that you may want to check out!

This is a JavaScript app that I wrote to perform the XOR function on two hexadecimal strings. This is to help solve one of the cryptography assignements on Coursera.

I am providing tuition for SMU Calculus module: Math 001. A previous student of mine passed the module, despite not having any H2 Maths background. The module is highly challenging, and includes multivariable calculus.

  • Dragon Curve and Jurassic Park
    This is to introduce two videos on the mysterious and fascinating fractal: The Dragon Curve. Not many people have heard about it!

Featured Book:

The Fractal Geometry of Nature

Review

“A rarity: a picture book of sophisticated contemporary research ideas in mathematics.”–Douglas Hofstadter, author of Godel, Escher, Bach

 

 

PSLE Maths

tomcircle's avatarMath Online Tom Circle

This is Singapore PSLE (Primary School Leaving Exams) Maths for 12- year-old kids.

It is not difficult for adults, but I wonder most kids have such analytical skill ?

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Answers below (scroll far behind….)
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(1)

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(2):
R – B = 1 for every suite of 5 cards
If R-B = 36
36×5= 180 cards

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Free JavaScript App to split text every few characters

This is a simple JavaScript application to split characters every few characters, separated by a comma. Useful to make long strings more easy to read.

Site: http://mathtuition88.blogspot.sg/2015/01/javascript-application-to-split-text.html

This is a simple JavaScript application that can split text every “n” characters, and add a separator of your choice in between. (E.g. separated by comma, space, semicolon, etc.) For instance, given the input:”abcde12345″, separating using the default settings will output:”ab,cd,e1,23,45″. Hope it helps!

Screenshot:

screenshot javascript

Important Guidelines For Cracking Interview In Finance Company

Hope this article will be useful for students wishing to enter into the highly popular but also competitive Finance Industry! Finance jobs are open to students who major in diverse disciplines, including Engineering.

Important Guidelines For Cracking Interview In Finance Company

Cracking an interview at times seems to be a daunting task. If you are facing the jitters because of the upcoming interview in the finance company, then the best way to do so is to be prepared for the interview. Though there is no on-stop solution for the same, but remembering few important points can help you to overcome the fear related to the interview. During the interview in the financial sector, the interviewers assess whether the candidate is appropriate for the job, both in the professional and personal level. It is important for the job-seekers to communicate their ideas clearly during the interview process so that the prospective employer can gage how the candidate will perform under pressure.

Few tips to remember

Some amount of research, planning and preparation is required to crack the interview. Adequateknowledge regarding the subject is the key to crack the interview. Following few simple tips can help you to master the interview.

  • Research about the company as the services and products that are catered by the company. You can go through the website of the company and have an insight of the same. Recent news, press releases and recent accomplishments can help you to stay abreast about the financial company.
  • Identify your character traits as the strength and weaknesses and assess whether you are suitable for the job. It is imperative to say that the recruiters emphasize on the skill set of the candidate while they describe a job responsibility. Prior to the interview, make sure that you go through the job responsibility so that you can gage the qualities that the recruiters are looking for. This will also give you the hint of the questions that they might ask you during the interview. So after you have identified your behavioral traits, you can determine the ways through which you can add value to the company.
  • Interview gives the applicants the platform to showcase their skills and knowledge. So, make sure that you carry a detailed portfolio. This will include two copies of the resume, and along with the different certificates that will reflect your credentials. Make sure that you have these documents in one folder so that you can produce them with ease without going through piles of paper. Prepare the documents in accordance to the job description and the requirement of the job and the company. This also reflects your professionalism. If you have prior experience of working in any financial company, it is wise to showcase that.
  • Your appearance and presentation are also importance for creating an impression on the recruiters. Your attire affects the psyche of the recruiters, so pay heed to what you wear for your interview. If you are wearing any perfume, make sure that it is not too strong.
  • It is important to be polite during the interview. Make sure that you communicate clearly with the interviewer. Remember the way you present yourself will create a negative or positive impression about you. Convey your dedication towards your work and also your pride. Refrain from interrupting your recruiters as this might irk them.
  • While responding to the questions maintain a decent way. Your posture and gait also createsa positive impression on the recruiter.
  • Reach the venue of the interview ahead of the scheduled interview in formal attire.Great the receptionist or the concerned person on meeting them.
  • You can prepare a list of questions that are likely asked in the interviews and practice the same.

Knowing these tricks will help you to answer the questions asked during the interview seamlessly. It is important to remember that the key to cracking the interview is to stay positive and remain cool all through.

Author Bio: Ralph Spencer is a career counselor, and he also writes blogs on the tips for a successful career. You can click here to know the tips of cracking an interview.

 

New Year Maths Movie to Watch: The Imitation Game

Reblogged from: http://mathtuition88.blogspot.sg/2015/01/math-movie-imitation-game.html

imitation game

 

Read more at: http://mathtuition88.blogspot.sg/2015/01/math-movie-imitation-game.html

Featured Book:

Alan Turing: The Enigma: The Book That Inspired the Film “The Imitation Game”

This book is currently ranked Top 100 book in the whole world! (#95 according to Amazon.com)

It is only a slight exaggeration to say that the British mathematician Alan Turing (1912-1954) saved the Allies from the Nazis, invented the computer and artificial intelligence, and anticipated gay liberation by decades–all before his suicide at age forty-one. This acclaimed biography of the founder of computer science, with a new preface by the author that addresses Turing’s royal pardon in 2013, is the definitive account of an extraordinary mind and life.

Capturing both the inner and outer drama of Turing’s life, Andrew Hodges tells how Turing’s revolutionary idea of 1936–the concept of a universal machine–laid the foundation for the modern computer and how Turing brought the idea to practical realization in 1945 with his electronic design. The book also tells how this work was directly related to Turing’s leading role in breaking the German Enigma ciphers during World War II, a scientific triumph that was critical to Allied victory in the Atlantic. At the same time, this is the tragic account of a man who, despite his wartime service, was eventually arrested, stripped of his security clearance, and forced to undergo a humiliating treatment program–all for trying to live honestly in a society that defined homosexuality as a crime.

The inspiration for a major motion picture starring Benedict Cumberbatch and Keira Knightley,Alan Turing: The Enigma is a gripping story of mathematics, computers, cryptography, and homosexual persecution.

Free Psychometric Career Matching Service

If you know or are a stressed teen, returning veteran, or a high school counselor then this free online service may be of great service to you. MyVerse is a free online service dedicated to psychometrically matching individuals to 1-5 careers via a color test. MyVerse will be a great first step towards a career path, and create a foundation for a person to build upon.

Right now 92% of high school seniors are not sure what career path they want to take and there is a 52% drop out rate among first year college students. MyVerse will help guide individuals along the correct path and give people a goal to achieve which will drastically reduce the dropout rates across the nation.

Right now MyVerse has a campaign on RocketHub found here. There you can contribute to the MyVerse campaign so we can see this awesome new online career service that has so much potential come to life.

myverse

Calendar 2015 = 1997

tomcircle's avatarMath Online Tom Circle

Interesting thing about saturday in 2015
4/4/2015 saturday
6/6/2015 saturday
8/8/2015 saturday
10/10/2015 saturday
12/12/2015 saturday

Calendar of 2015 is same as calendar of 1997

Date & Day even Festivals are same,

Who told history doesn’t repeat ?

So

We are back in 90s

Have a Blessed Happy New Year!

Calendar Math explains:

http://tomcircle.wordpress.com/2013/03/30/calendar-math/

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The Significance of 8888: MH17+MH370+QZ8501

Although the QZ8501 plane is now confirmed to be in the Java Sea, we still hope that there may be some survivors, who may have possibly swum to a nearby island. Hopefully, the rescuers may be able to rescue some of the passengers.

This is a followup on the previous post on the Probability of adding up to 8888.

Other than the QZ 8501 incident, there are many other incidents that have relation to “8888” or “8” in general. Some of them are the “8888” Uprising in Myanmar, the May 12 Sichuan earthquake, the Blizzard of January 25, and the Tibetan Riots of March 14.

To read more, visit: http://mathtuition88.blogspot.sg/2014/12/the-significance-of-8888-mh17mh370qz8501.html

One special fact about 8, is that it is the only natural perfect power that is one less than another perfect power. (2^3=3^2-1) This is known as Catalan’s conjecture or Mihăilescu’s theorem.

Lastly, you may want to watch this video on Chinese Lucky Numbers by Numberphile.

Featured Book:

Biblical Numerology: A Basic Study of the Use of Numbers in the Bible

A sane explanation of biblical numerology. Davis explains the conventional, rhetorical, symbolic, and mystical use of numbers in this fascinating study of the structure and syntax of biblical numbers.

Numbers are present throughout the Bible, and do have some meanings. Why did God create the world in seven days? (rest on the seventh day) Why did Jesus have 12 disciples, not more or not less? Read this book to find out!

记乘法表 Multiplication Table

tomcircle's avatarMath Online Tom Circle

女童记不住乘法表崩溃大哭”三五太難了”:

This 4-year-old Chinese girl cried when her mother ‘tortured’ her to recite Multiplication table by rote learning. She always got stuck at 3 x 5= ?
She complained it is too difficult.

Most parents are teaching the kids Mathematics the wrong way! No wonder they grow up with hate and fear for Maths subject throughout the entire life.

Same in schools and universities, Maths are taught the wrong ways by incompetent Math educators.

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Math of QZ8501 (Sum of 3 numbers that add up to 8888)

Source: http://mathtuition88.blogspot.sg/2014/12/math-of-qz8501-sum-of-3-numbers-that.html

We sincerely hope that Captain Iriyanto, the pilot of missing AirAsia flight QZ8501, and all other passengers survive and return safely. Hopefully the plane will be found soon.

Something mysterious about the recent missing airplanes is that their numbers add up to 8888, a mystical number in Chinese culture. MH17, MH370, QZ8501, 17+370+8501=8888.

We have calculated that it is not a common event at all, it is rarer than winning the top prize in 4D, a lottery in Singapore.

Probability of 3 random numbers (from 1 to 9999) adding to 8888: 0.0039497% , or around 1 in 25,000.

Probability of winning the First Prize in 4D: 0.01%, or 1 in 10,000.

8888

 

Read more at: http://mathtuition88.blogspot.sg/2014/12/math-of-qz8501-sum-of-3-numbers-that.html

Featured Book:

Introduction to Probability, 2nd Edition

An intuitive, yet precise introduction to probability theory, stochastic processes, and probabilistic models used in science, engineering, economics, and related fields. The 2nd edition is a substantial revision of the 1st edition, involving a reorganization of old material and the addition of new material. The length of the book has increased by about 25 percent. The main new feature of the 2nd edition is thorough introduction to Bayesian and classical statistics.

Mind, Brain And Education

tomcircle's avatarMath Online Tom Circle

Mind, Brain And Education
1. Spaced Repetition
2. Retrieval Practice

Tool: Test
Not to assess what students know, but to reinforce it.
Memory is like a storage tank, a test as a kind of dipstick that measure how much information we’ve put in there.

But that’s not how the brain works.

Every time we pull up a memory, we make it stronger and more lasting, so that testing doesn’t just measure, it changes learning.

Simply reading over materials to be learnt, or even taking notes and making outlines, as many homework assignments require, doesn’t have this effect.

Language learner: 80% retained.
Science: 50% retained.

Self-quizzing (focus less on input of knowledge by passive reading, focus more on output by calling out that same information from brain.)

Cognitive disfluency:
Tough topic, recall better.
Interleaved assignment: mix up different kinds of problems instead of grouping by type.

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Worldwide Student Homework Hours

tomcircle's avatarMath Online Tom Circle

Weekly Homework (hours)

A recent survey in 44 OECD countries reveals for 15-year-old students an average of 5 hours / week of homework.

CountryHomework HrsExtra Hrs PISA
Shanghai14 Tuitions1
Singapore9.4 Tuitions2
Hong Kong6 Tuitions3
Korea2.7Tuitions 4
Japan3.8Tuitions5
Taipei5.9Tuitions6
Finland2.87
England4.926

PISA 2012:
image

PISA is like the Army IPPT Test on physical fitness. A fit soldier and a weak soldier go to war, whether he can fight with courage under duress to win the battle, has nothing to do with his IPPT scores.

Same for PISA scores…that explains why Americans are poor in PISA but produce many entrepreneurs, Nobel prize / Fields scientists, whereas China, Singapore, Korea, HK have only few.

image

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Star Wars Math

With the Star Wars Episode 7 coming up, all Star Wars fans are really excited. The trailer alone has reached 50 million views, barely a month after it was released.

math of star warsWait, can Star Wars be related to Math? Yes it can! Check out The Math of Star Wars which describes a Math related question related to Star Wars! As a Math Tutor, I try my best to relate anything and everything to Math! 😛

Christmas is ending soon, and hope everyone had a nice day, and happy new Year!

Featured Book:

Star Wars Workbook: 1st Grade Math

Does your child love Star Wars but hate math? Well, this might just work! A highly rated Workbook based on Star Wars.

 

Guess Birthday Month based on First 4 NRIC Digits

One of the pros of Blogger is that JavaScript is allowed, whereas for WordPress, JavaScript is not allowed for security reasons. JavaScript is a pretty cool add on to a website, it can do simple calculations.

I have written a JavaScript Applet to Guess Birthday Month based on First 4 NRIC Digits, at http://mathtuition88.blogspot.sg/2014/12/javascript-app-to-calculate-birthdate.html.

Do check it out if you are interested! (For fun only, it may not be 100% accurate).

The math theory is based on my earlier post at: Formula to guess Month of Birthday from Singapore NRIC.

Featured Post:

Mathematics for 3D Game Programming and Computer Graphics, Third Edition

Math Formula in WordPress vs Blogspot

Refering to How to write Math Formulas on Blogspot / Blogger, Blogspot is also capable of rendering beautiful Math Equations based on LaTeX.

blogger latex
Produced by Blogspot using MathJax

Blogger uses MathJax for rendering the Math Formulas, which look like the ones shown above.

Let’s try the WordPress version and readers can judge for themselves which is better.

\displaystyle a^p \equiv a \pmod p

\displaystyle\int_0^{\frac{\pi}{2}} \sin x\ dx=1

My personal opinion is: they look the same to be honest. However, the Blogger way of typing is much more convenient, just using $ and $$, as opposed to WordPress requiring “$latex” and “$latex\displaystyle”, which is more cumbersome especially for long texts. However, experts like Terence Tao have opted for WordPress, which shows that WordPress does probably have some advantages.

Featured Book:

The LaTeX Companion (Tools and Techniques for Computer Typesetting)