Many of the examples are original. Others, especially some of those given in the practical applications, by reason of their nature and importance, are common to all elementary courses on calculus. In several instances, examples of particular interest have been drawn from other works. A list of lessons suggested for a Short course of eleven or twelve weeks is given on page viii. This list has been arranged so that four lessons and a review will be a week's work. It is hardly possible to name all the sources from which the writer of an elementary work may have obtained suggestions and ideas. I am especially conscious, however, of my indebted ness to the treatises of De Morgan, Williamson, Edwards, Stegemann and Kiepert, and Lamb.