Mathematics, like the other sciences, reflects the laws of the world around us and serves as a powerful instrument for our knowledge and mastery of the environment. It is a servant to the sciences, including the social sciences, but underlying this role of service are the philosophy and art of mathematics itself. While it is a vital part of daily life, it also is an area of study in which a high degree of creativity may be expressed. It is an essential tool for precise communication.

The science of computing is a rapidly growing field of study. Computers are used in almost every facet of life, and a grasp of their fundamentals can lead to challenging and rewarding activity in many fields. Principia's computer science course offerings stress the principles and theories that underlie computing.