How can math help solve a murder? In this video, I explain how Newton’s Law of Cooling is used in forensic investigations to estimate time of death. We’ll walk through the real math behind it, break down the key equation, and apply it to a sample case.
Discusses the global problem of water pollution in some detail. Then explains how mathematical modeling can be used to help with this issue. Finally explains the ODE mixing problem and how is applies to the issue of water pollution.
An explorations into how differential equations can help to understand the relationship between sharks and fished respective populations. How does overfishing effect the results?
This video explores a differential equation that can be used to model the flow of an avalanche. Its parameters are explored and an analytical solution is presented.
This video is about the Susceptible-Infected-Recovered model of differential equations, which effectively tells doctors or IT professionals when action is needed for a virus.
Breaking news from early 2020: the first confirmed human‐to‐human transfer of a novel coronavirus outside Wuhan rocked the world. Within weeks, every continent felt the impact. Hospitals scrambled. Lockdowns were ordered. And the question on everyone’s mind was: when will this peak? In this video, we’ll cover why we need a simple model, how it works, a quick qualitative look at its behavior, how we get actual numbers with a computer, and finally, why we can trust the results we see.
This video gives a basic introduction of the SIR model and how beneficial it can be in society. It covers examples of how it was useful regarding the COVID-19 pandemic, and explores the analytical solutions.
Having accurate weather forecasts is crucial for aviation. This video discusses one differential equation that is used in weather forecasting technology
Accurate weather forecasts are crucial for aviation. Modern forecasts incorporate various differential equations to model the atmosphere at any given time and predict what it will do in the future.
