Models of Motion

In an attempt to understand and explain the world around us and how it works, scientists make careful observations, conduct experiments and build models. Crucial among such models are those that explain the interactions between objects and the changes in motion those interactions bring about. With the development of new models come new mathematical methods needed for describing them. Calculus, for example, was born out of the efforts to make predictions from Newton's models of motion. Even with the power of calculus, a model may yield answers only in approximate circumstances. The advent of computers has allowed more realistic scenarios to be examined. We can test the laws of physics by simulating them on a computer using a particular numerical method or algorithm. Learning how to do that efficiently will be one of the goals of this program.

In fall quarter we will cover introductory topics in physics, calculus and computer programming through small group workshops, interactive lectures, seminars, hands-on laboratory investigations and computer programming labs. Through our study of physics we will learn about models of motion and change and the process for constructing them. We will also learn how to use calculus and computer programming to make predictions with those models. In winter and spring quarters our focus will primarily be on physics and calculus and some of the historical and philosophical implications of the development of these disciplines. During spring quarter, students will have the opportunity to design and carry out laboratory or computer investigations.