The astute among you might have noticed that the exponential growth model doesn't take into account the limitations a given environment imposes on a particular population. This video introduces a more sophisticated logistic model using the Cookie Epidemic of 2020 as an example. Duration: 11:49

In this video will expose you to the differential equation whose solution yields the logistic growth model. We will see how this differential equation satisfies the assumption that populations initially exhibit exponential growth and then slow down as the population reaches its carrying capacity. Duration: 7:39

Now we will finally solve the logistic differential equation using a number of pro-level algebraic techniques, assuming you do not lack the courage or proper headgear. Duration: 18:18

In Example 9, we'll use our insight into the logistic growth model to solve a free-response question containing some typical AP expectations. Duration: 11:31

Example 10 is similar to Example 9 except with some subtle algebraic differences and twice as many elk. Duration: 14:01

In this final video, we summarize all of the key properties of the logistic growth model and definitely prove that the maximum population growth rate occurs at half of the carrying capacity. Duration: 16:17

In this American Museum of Natural History clip, watch the last 200,000 years of human population growth. Duration: 6:24

To quote the fashionably-coiffed Michael Aranda, "Dating is hard, especially when what you're dating is dead." SciShow explanation on Carbon-14 dating. Duration: 3:50