The science of physics, specifically waves and harmonics, goes hand in hand with the mathematics of trigonometry. We need trigonometry to model the path of a wave traveling through the air or water. Describe another connection between a math topic and a non-math topic, where the math topic is needed to explain and model the non-math topic.

The first example that comes to mind is populations. Now, suppose that a city has a given population P₀, and we know that this population each year increases by a 5%.

Then we can write the population as a function of time as:

P(t) = P₀*(1.05)^t

This exponential equation model how the population changes as time passes. Similarly, if the population decreases we also can model it with an exponential decay equation.

This approach is also used for radioactive elements that decay into other elements, we do use exponential equations to model the amount of the material that we have as time passes (here we use exponential decays, as the amount of material decreases).

So concluding, we can use exponential equations (math) to explain and model populations (non-math).

If you want to learn more about math, you can read:

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