The idea behind the interactions of two populations is well explained in the robin and worms example. Essentially one population can only exist with the population of the other group, there are limits to the quantity of the groups. It is an example of sustainability and co-dependence. The hardest part though was looking at trajectories in the wr phase plane. when w,r, and t were given for dr/dt it = 1.2>0 what is the significance of this numerical value? Is this the value for the closed solution curve on the slope field?
Using math that involves two different entities is a good progression. I feel like it is bringing the "applied" portion back into calculus because the predator prey system is a real situation that exhibits a cyclic behavior. It is important to see math in more ways than just numbers and this is a connection I wanted to get out this class.
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