Tag Archives: differentiation

Calculus for Mature Students

Math Meme from Math Lady Hazel

Like math, calculus needn’t sulk (to any degree)! In the hands of an excited middle-school or high-school math teacher, or with access to some creatively written (or online free) resources, the ABCs of calculus can even be taught to elementary school kids.

Think of Mr. Jaime Escalante who had successfully taught calculus to cohorts of Mexican-American students. There is zero excuse why we can’t emulate him to teaching it to financially disadvantaged or minority groups.

What’s Calculus to You?

Do you parrot the textbook definition of calculus to your students? The mathematics of (instantaneous) change. Or do you share it as the branch of mathematics that measures “how far an object has been going fast,” and “how fast an object has gone far”?

Moons ago, I cheekily approached or indirectly defined calculus via the division of zero as follows:

0 ÷ 0: The Raison d’être of Calculus

With some dose of irreverence, the bête noire of high-school or college math could turn out to be a much beloved topic even among the so-called innumerates or mathematically challenged.

Calculus for the Numerati

It’s debatably said that without an exposure of some delta-epsilon calculus, no man or woman can honestly claim to be “mathematically educated” or “mathematically civilized.” Sounds like mathematical pride or arrogance, isn’t it?

Or just an example of “mathematical elitism” à la Trump for those fakes who declare themselves as being a “very stable genius.” Even Einstein had remarked that calculus was “the greatest advance in thought that a single individual was ever privileged to make.”

Fr: Ryan Truong on Facebook’s “Mathematical Mathematics Memes”

Recently, while working on the Urban Calculus manuscript, I forced myself to reread some of the out-of-print pop calculus titles like David Berlinski’s A Tour of the Calculus, Steven Strogatz’s The Calculus of Friendship, and Mary Stopes-Roe’s Mathematics with Love to get an intuitive feel of the subject again.

For a long time, the thought of taking up the challenge to read Newton’s The Principia (even its annotated version) frightens me, because the complexity of the content is beyond me. I’ve a good excuse not to borrow the thick copy from the university library unless I want to look like a “mathematical snob” carrying it around, or use it as a temporary doorstop.

When Comics and Calculus Converge

Calculus for All

Let’s play our part in sharing the mathematical gospel of Newton and Leibniz that calculus needn’t be a four-letter word—how these two mathematical greats had exorcized the demon out of the division of zero.

Why not strive to be the “James Escalante” of your school, state, or country? You’d be the changemaker or mathematical savior in motivating some undecided or mature students to read a calculus course or module in college?

Differentially and integrally yours

© Yan Kow Cheong, July 30, 2023.

Poop Calculus

A National University of Singapore’s brochure cover promoting math and art.

A fortnight ago, Center of Math (@centerofmath) tweeted the following picture:

Imagine if Donald Trump were your high school math teacher. How would he disruptively or irreverently use the above illustration to teach some “pop (or poop) calculus” to his math-anxious Liberal Arts students?

From Epstein to Trump

President Trump’s “fun buddy” of yesteryear, Jeffrey Epstein, was unverifiably a pretty good math teacher before he became a successful financier, whose sinful soul had since journeyed to that hot fiery place, on the other side of eternity, sooner than later.

And not too long ago the president who claimed to have a “genius IQ” boasted that his “favorite” daughter is very good at numbers, which indirectly implies that she must have inherited his (or his first wife’s) “mathematical gene.”

An e-card promoting the disruptive title, “If Trump Were Your Math Teacher” (2020).

A phrase that had made its way into Urban Dictionary, but had since mysteriously disappeared from cyberspace.

Trump’s Calculus

Based on the defined meanings of f(x), what could f′′′(x) represent?

The distance between two peeing men is inversely proportional to the degree of friendship between them. (Photo © Anonymous)

or

If F′(x) = f(x), then F(x) might depict the dear speciality coffee beans eaten and excreted by civets.

The sought-after civet cat poo that meets the wants of filthy-rich coffee drinkers.

And what if G′′(x) = f(x)? Would G(x) represent the following picture?

Not all coffee beans are created equal.

Calculus for Civet Cats (and Their Humans)

Can we expect “Calculus for Civet Cats” in a-not-too-distant future?

The Calculus of Donald Trump

Let me end with two “urban calculus definitions” I coined in the aftermath of President Trump’s irrational behaviors.

Did President Trump and gang order this definition to be taken off the Urban Dictionary?

Another approved definition whose days were numbered.

Differentially and integrally yours

© Yan Kow Cheong, September 30, 2019