Even though each of these models was developed to study population growth (important to both biologists and sociologists), the models have come to have applications in a wide variety of fields. The exponential growth model is used in the fields of economics (particularly in the theory of interest) and physics (Newton's Laws of Heating and Cooling, as well as to study radioactive decay).
You should be able to do the calculus to develop equations (10.7) and (10.11). You should also be able to explain why difference equations or derivatives are used to model various situations.
Attempt problems #1 and #3, page 450. You should be able to explain how you are using dimensions to verify whether or not the equation is dimensionally compatible.