From here to infinity: a foundation for calculus

A problem presents itself: how can we expect our calculus students to effectively learn the subject of calculus when their algebra skills are lacking or deficient? How can we rest assured that the algebraic subjects that they studied in high school are still fresh in their minds as they enter their first semester of college mathematics?

In attempting to find a solution for this problem, the Vanderbilt University Department of Mathematics has developed a short algebra and trigonometry review which begins each semester of first-semester calculus, in order to reacquaint the incoming student with the concepts of high school algebra, and to reinforce in his or her mind the ideas that will soon become the basis for the discovery of the wonders of calculus.

But what text to use?

Throughout the spring of 2001, my colleagues and I toiled away, attempting to create the perfect text for use in this review program. The result is From Here to Infinity: A Foundation for Calculus. Containing eight sections which cover topics from basic properties of numbers through complicated trigonometric identities, we feel that the text serves both as a solid guide for the instruction of the topics within and as an effective reference for the student as the calculus course progresses.