Using calculus to model the mathematics of human forgetfulness
In short: Why does information seem to slip away from our minds? This lesson uses derivatives to quantify how quickly we lose knowledge over time, turning a psychological phenomenon into a measurable rate of change.
The video explores the application of derivatives to model the 'forgetful phenomenon.' By treating memory retention as a function, students can calculate the instantaneous rate at which information is lost. This provides a mathematical framework for understanding how learning decays after initial acquisition.
Created by Sal Khan and featured in the AP Calculus AB curriculum, this example demonstrates how abstract calculus concepts—like rates of change—apply to real-world cognitive processes.
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Sources
- Summary by Intellect · source: Applied rate of change: forgetfulness | Applications of derivatives | AP Calculus AB | Khan Academy
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