IntMath Newsletter: vision, wealth and slopes
By Murray Bourne, 28 Oct 2010
28 Oct 2010
In this Newsletter:
1. Math application: 20/20 vision and trigonometry
2. Math application: Statistics and wealth distribution
3. Math tip: The slope of the 3 main trigonometric curves
4. Friday math movies: Math education and cell animations
6. Final thought: Dealing with mistakes
Welcome to the hundreds of new people who have signed up for the IntMath Newsletter!
1. What does 20/20 vision mean?
Suitable for: Everyone. This article ties trigonometric concepts into something that’s important for all of us – good vision.
We often hear the expression 20/20 vision. What do the 2 numbers mean?
2. Singapore wealth – mean and median?
Suitable for: Everyone. The wealth distribution of a country affects its stability, so this is an important application of statistics.
When we have a distribution with a high mean but a low median, what does it look like?
3. Explore the slope of the sin, cos and tan curves
Suitable for: Everyone. The slope of a straight line is easy – find vertical rise and divide by horizontal run. But what is the slope of a curve? This is an important concept and worth thinking about, even if you’ve never heard of calculus yet.
I broke this up into 3 separate articles to make it more digestible.
a. Sine curve
Use an interactive graph to explore how the slope of sine x changes as x changes.
b. Cosine curve
What is the value of the slope of the cosine curve? Use an interactive graph to investigate it.
c. Tangent curve
You can investigate the slope of the tan curve using an interactive graph.
4. Friday math movies
Suitable for: Everyone.
a. Arthur Benjamin’s formula for changing math education
What math topic is most useful for people in their "real life"?
b. David Bolinsky animates a cell
Our bodies truly are beautiful and amazing.
5. Final thought: Dealing with mistakes
Donald Trump had a very successful career in real estate until he ran into serious financial difficulties during the 1990s and basically went broke. He has since recovered and is now worth around US$2.6 billion.
The following quote by Trump applies to all math students!
“Make your mistakes work for you by learning from them.”
Until next time, enjoy whatever you learn.
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