A Mathematical Tour of Functions

Welcome to our mathematical tour! The theme of this book centers around the concept of function, a mathematical idea that has become increasingly important over the past two centuries. In these pages, you will read about many of the topics commonly covered in courses with impressive-sounding titles like College Algebra, Trigonometry, and Precalculus. It is my hope that after reading this book you will be prepared -- and perhaps even want -- to move on to a course in Calculus. This book was originally written as a blueprint for a university-level course satisfying the core curriculum and emphasizing the liberal arts identity at Ave Maria University.