This text for the first two terms in the college calculus sequence begins with a self-test on pre-calculus mathematics. After a review of functions, coverage progresses from limit of a function through derivatives and applications, integrals and applications, techniques of integration, first-order differential equations, sequences and series, and conics and polar coordinates. Each chapter opens with its own table of contents and an introduction, and includes color illustrations. This fourth edition contains many new problems, especially applications, graphing calculator and computer problems, conceptual problems, and project problems. There is an increased emphasis on the trigonometric functions. An appendix provides proofs of selected theorems, and resource pages provide reviews of essential concepts and formulas of algebra, geometry, and trigonometry. Answers to selected problems are given. Annotation ©2010 Book News, Inc., Portland, OR (booknews.com)