Abstract
ABSTRACT The question “Can calculus courses be taught in a more interesting way?” frequently arises in both classroom and faculty room situations. Many teachers and students believe the answer is “yes”. The next logical question is “How do you make it happen?”. The answer to this question, however, is not as simple. It varies with the individual answering the question. Many answers are different but all are thoughtful. This paper explores a possible connection between generating function techniques and the convergence of series in calculus. It presents an example of making calculus more interesting by using a variety of ways to solve a calculus problem. This example also demonstrates how one can enhance students' problem solving and critical thinking skills. A simple way of introducing basic generating function concepts and techniques is presented. An interesting way of showing is also included.
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