## Singaporean’s Plan for the Long Weekend (Aug 7-Aug 10)

As every Singaporean should know by now, August 7 is going to be a public holiday this year, due to SG 50, i.e. Singapore’s 50th anniversary as a nation.

A quick check using the mental calculation of dates (Doomsday Algorithm), we can know that August 8 is Saturday, hence August 7 is a Friday. Thus, August 7 to August 10 is indeed a long weekend!

What are Singaporeans doing during the long weekend? Hint: It has something to do with studying. This is a really funny cartoon by Singaporean cartoonist “Chew on it ## 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.

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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 $sky$.

# Manga guide to Math series

Check out the following interesting comic books explaining Math (Calculus, Linear Algebra, and Statistics) in a fun and enjoyable way.

In The Manga Guide to Calculus, you’ll follow along with Noriko as she learns that calculus is more than just a class designed to weed out would-be science majors. You’ll see that calculus is a useful way to understand the patterns in physics, economics, and the world around us, with help from real-world examples like probability, supply and demand curves, the economics of pollution, and the density of Shochu (a Japanese liquor).

Mr. Seki teaches Noriko how to:

• Use differentiation to understand a function’s rate of change
• Apply the fundamental theorem of calculus, and grasp the relationship between a function’s derivative and its integral
• Integrate and differentiate trigonometric and other complicated functions
• Use multivariate calculus and partial differentiation to deal with tricky functions
• Use Taylor Expansions to accurately imitate difficult functions with polynomials

Whether you’re struggling through a calculus course for the first time or you just need a painless refresher, you’ll find what you’re looking for in The Manga Guide to Calculus.

Follow along in The Manga Guide to Linear Algebra as Reiji takes Misa from the absolute basics of this tricky subject through mind-bending operations like performing linear transformations, calculating determinants, and finding eigenvectors and eigenvalues. With memorable examples like miniature golf games and karate tournaments, Reiji transforms abstract concepts into something concrete, understandable, and even fun.

As you follow Misa through her linear algebra crash course, you’ll learn about:

• Basic vector and matrix operations such as addition, subtraction, and multiplication
• Linear dependence, independence, and bases
• Using Gaussian elimination to calculate inverse matrices
• Subspaces, dimension, and linear span
• Practical applications of linear algebra in fields like computer graphics, cryptography, and engineering

But Misa’s brother may get more than he bargained for as sparks start to fly between student and tutor. Will Reiji end up with the girl—or just a pummeling from her oversized brother? Real math, real romance, and real action come together like never before in The Manga Guide to Linear Algebra.

The Manga Guide to Statistics

This manga textbook is written for those interested in understanding principles of statistics. Each of the seven chapters is organized into four sections: a cartoon, a text explanation to supplement the cartoon, an exercise that includes the answer, and a summary. Readers can learn much about the subject by just reading the cartoon, but they will gain a more thorough understanding by working through the other three sections in each chapter. Yamamoto provides Rui with easy-to-understand examples and graphic illustrations, making the subject less intimidating.   