Transitioning to Calculus
From the Preface:
If you were to ask ten calculus instructors what they expect their students to know prior to
entering their calculus classes, you would get ten different answers. This book is designed to
contain the average of those ten answers. Rather than trying to be a complete pre-calculus text,
this book reviews only the essential concepts and formulas in outline form, with an occasional brief
illustration.
The purpose of this book is to provide a comprehensive list of the skills that are required of
students entering their first class in calculus.
Exercises have been included at the end of each chapter. They are ordered from easier exercises to
more difficult exercises. Each exercise appears on an odd-numbered page. The associated solution
is given on the following even-numbered page. The reader is encouraged to solve the problem on the
space provided in the book when an exercise is encountered, then check the solution given on the
following page. Videos which have screencaptures of the solutions to the exercises are given at
http://www.math.wm.edu/~leemis/videos/ttc/
The vast majority of the exercises cover necessary skills for a calculus course; a few of the
exercises cover related ACT and SAT exam topics.
If this book is to be read during the summer prior to taking calculus during the fall, one approach
would be to divide the number of days remaining until the first calculus class into the number of
pages in the book and attempt to consistently cover that number of pages every day. There are 180
pages in the text by design. This means that the text can be read in one, two, or three months by
reading a round number of pages every day.