Mathematics is one of the oldest disciplines of study. For all its antiquity, however, it is a modern, rapidly growing field. Only 70 years ago, mathematics might be said to consist of algebra, analysis, number theory, and geometry. Today, so many new areas have sprouted that the term ``mathematics'' seems almost inadequate. A new phrase, ``the mathematical sciences'' is coming into fashion to describe a broad discipline that includes the blossoming fields of statistics, operations research, and information science, as well as the traditional branches of pure and applied mathematics.
This growth has been fueled by dramatic changes in the world. The most obvious change is the invention of the computer, which has made computation possible on a scale inconceivable before. Independent of this, however, mathematical models and methods have invaded almost every area of study in the life sciences and the social sciences and have been applied in profound ways to business, finance, and public policy. It is fair to say that the world is now perceived more mathematically than ever before.
For the student of mathematics, this has many implications. In former years we might have ensured that our students were literate in all areas of mathematics by requiring a core of five or six courses. That is impossible now, and you will have to make choices. At the same time, the pervasiveness of mathematics means that the skills you acquire will be useful in a far wider array of professions.
This guide was prepared to help you find your way, but it's not meant to replace discussions with members of the mathematics department. If you are interested in mathematics, don't hesitate to ask any of us for advice.
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