This text is designed for a three-semester or four-quarter calculus course (math, engineering, and science majors). Calculus hasn't changed, but your students have. Today's students have been raised on immediacy and the desire for relevance, and they come to calculus with varied mathematical backgrounds. Thomas' Calculus: Early Transcendentals, Twelfth Edition, helps your students successfully generalize and apply the key ideas of calculus through clear and precise explanations, clean design, thoughtfully chosen examples, and superior exercise sets. Thomas offers the right mix of basic, conceptual, and challenging exercises, along with meaningful applications. This significant revision features more examples, more mid-level exercises, more figures, improved conceptual flow, and the best in technology for learning and teaching. The text is available with a robust MyMathLab(R) course-an online homework, tutorial, and study solution designed for today's students. In addition to interactive multimedia features like Java(TM) applets and animations