Introduces a model of differential equations for students--a very real overpopulation problem is occurring in the Ndumu Game Reserve in KwaZulu-Natal, South Africa, where one species of antelope, the Nyala, is crowding out another species, the Bushbuck. Constructs a competing species model to mathematically describe what is occurring in Ndumu.…

Adds a cropping or harvesting term to the animal overpopulation model developed in Part I of this article. Investigates various harvesting strategies that might suggest a solution to the overpopulation problem without actually culling any animals. (ASK)

Discusses an old technique going back to Euler for accelerating the convergence of an alternating series. Uses a computer algebra system such as Derive, Maple, or Mathematica to implement this method called Eulerization. Argues that investigations using this technique will improve a student's understanding of infinite series. (ASK)